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Journal articles on the topic 'Parameter K(t)'

Author: Grafiati

Published: 28 June 2021

Last updated: 1 February 2022

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1

Petzschner, Frederike H., Irene P. Ponce, Martin Blaimer, Peter M. Jakob, and Felix A. Breuer. "Fast MR parameter mapping using k-t principal component analysis." Magnetic Resonance in Medicine 66, no. 3 (March 9, 2011): 706–16. http://dx.doi.org/10.1002/mrm.22826.

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2

Chuan-Hui, N., and S. Xiao-Bao. "Grüneisen parameter of lithium, sodium and potassium at T=298 K." Journal of Physics and Chemistry of Solids 62, no. 7 (July 2001): 1359–61. http://dx.doi.org/10.1016/s0022-3697(01)00007-5.

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3

Deshmukh, Mangesh R., Ganesh M. Bansode, and Pallavi Mahajan. "EVALUATION OF POTATO CULTIVAR FOR GROWTH AND YIELD PARAMETER." World Journal of Biology and Biotechnology 3, no. 1 (April 15, 2018): 203. http://dx.doi.org/10.33865/wjb.003.01.0138.

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The present investigation on evaluation of varietal performance of various potato varieties under Pune Conditions was initiated in Oct 2012. Potato tubers of Kufri Lauvkar, Kufri Badshah, Kufri Pushkar, Kufri Surya, Kufri Khyati, Kufri Ashoka, Kufri Jyoti, Kufri Pukharaj were planted on ridges and furrows. The results revealed that Kufri Surya recorded significantly higher total tuber yield (20.67 t/ha) followed by Kufri Pukharaj (18.45 t/ha). However percent plant emergence and foliage senescence were found non-significant. Whereas results in respect of yield depicted that the variety Kufri Lauvkar produced the lowest tuber yield of 16.23 t/ha. Tuber dry matter (19.69%) was recorded to be the highest in Kufri Surya which was significantly superior in comparison to the remaining varieties. The least incidence of late blight (9.69%) was recorded on Kufri Khyati which was at par with K. Surya (9.74%). The least incidence of early blight (10.29%) was recorded on K. Lauvkar which too was at par with K. Surya. Keeping this in view K. Surya may be recommended as promising variety for Pune region

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4

Mukherjee, Somnath. "Some Studies on K-essence Lagrangian." International Journal of Innovative Research in Physics 2, no. 2 (January 1, 2021): 9–14. http://dx.doi.org/10.15864/ijiip.2202.

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K-essence Lagrangian is studied in the context of an early universe epoch when t → 0. Equation of state parameter ω < −1 as well as deceleration parameter q0 < −1, indicates an accelerated expansion of the universe at an early epoch of time driven by negative pressure generated by dark energy.

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5

Kristoffel, N., and T. Örd. "The Pseudogap and Superconductivity Order Parameter Fluctuations." International Journal of Modern Physics B 12, no. 29n31 (December 20, 1998): 3106–9. http://dx.doi.org/10.1142/s0217979298002155.

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The influence of superconductivity unequilibrium order parameter correlated fluctuations on the normal phase elementary excitations have been investigated. Correspondingly a fluctuating source of pairs appears in the effective Hamiltonian described using the Gaussian free energy functional. A pseudogap (E g ) is found on the Fermi surface decreasing with rising temperature. It is scaled with the parameter α = ∊ F /k B T c . For smaller α-s E g develops more over T c . In non-high-T c systems and overdoped high-T c compounds the pseudogap is suppressed.

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6

Ludwig, Donald. "Estimation Techniques for Distributed Parameter Systems (H. T. Banks and K. Kunisch)." SIAM Review 33, no. 3 (September 1991): 486–87. http://dx.doi.org/10.1137/1033115.

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7

Ye, Wen Ming, Xu Teng Hu, Wan Lin Guo, and Ying Dong Song. "Three Dimensional Criterion for Creep Crack Propagation in C(T) Specimen." Applied Mechanics and Materials 853 (September 2016): 142–47. http://dx.doi.org/10.4028/www.scientific.net/amm.853.142.

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Experimental of two kinds of compact tension (CT) specimens’ creep crack propagation are carried out in this paper. Traditional fracture mechanics and three-dimensional fracture theory are compared and the results show that: The K-Tz two-parameter model can eliminate the thickness-effect on the crack growth rates in the relatively low K range, however when K exceed certain values the effect of thickness for crack growth rates still exists; The Ct and Ct-Tz model can describe the thickness-effect of creep crack growth rates in regions of high Ct; When the crack tip stress intensity factor K of the two kinds of thickness (B=5 mm, B=10 mm) specimens equal to 35 and 31 respectively, this material’s creep crack growth control parameter change from K to Ct.

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8

Tseng, Jimmy. "Eisenstein series and an asymptotic for the K-Bessel function." Ramanujan Journal 56, no. 1 (April 8, 2021): 323–45. http://dx.doi.org/10.1007/s11139-020-00358-8.

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AbstractWe produce an estimate for the K-Bessel function $$K_{r + i t}(y)$$ K r + i t ( y ) with positive, real argument y and of large complex order $$r+it$$ r + i t where r is bounded and $$t = y \sin \theta $$ t = y sin θ for a fixed parameter $$0\le \theta \le \pi /2$$ 0 ≤ θ ≤ π / 2 or $$t= y \cosh \mu $$ t = y cosh μ for a fixed parameter $$\mu >0$$ μ > 0 . In particular, we compute the dominant term of the asymptotic expansion of $$K_{r + i t}(y)$$ K r + i t ( y ) as $$y \rightarrow \infty $$ y → ∞ . When t and y are close (or equal), we also give a uniform estimate. As an application of these estimates, we give bounds on the weight-zero (real-analytic) Eisenstein series $$E_0^{(j)}(z, r+it)$$ E 0 ( j ) ( z , r + i t ) for each inequivalent cusp $$\kappa _j$$ κ j when $$1/2 \le r \le 3/2$$ 1 / 2 ≤ r ≤ 3 / 2 .

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9

Li, Guo, Li Li, and Peng Zhu. "Galloping Control for Iced Conductors Using Tuned Mass Dampers with Fixed Time-Delayed Feedback." Shock and Vibration 2019 (February 27, 2019): 1–9. http://dx.doi.org/10.1155/2019/4823457.

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A tuned mass damper with fixed time-delay feedbacks (TTMD) is first applied to suppress galloping of iced conductors. It is different from general time-delay feedback control, which also connects an added mass to a galloping body and can absorb vibrational energy. The two-degrees-of-freedom model captures the essential mechanical behaviors of iced conductors with TTMD undergoing galloping. The harmonic balance method is then employed to obtain the approximate analytical solutions of the system. Particularly, the expressions of galloping amplitude and angle frequency were obtained. Then the influence regulations of the time-delay parameter T and strength parameter K on galloping control are fully analysed. The results show the added fixed time-delay feedback control can promote the TTMD’s effect, when suitable time-delay parameter T and strength parameter K are chosen. Moreover, the response amplitude and natural frequency change periodically with time-delay parameter T. With strength parameter K increasing, the response amplitude increases or decreases for a fixed value of T and the TTMD’s effect can be enhanced.

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10

Betego´n, C., and J. W. Hancock. "Two-Parameter Characterization of Elastic-Plastic Crack-Tip Fields." Journal of Applied Mechanics 58, no. 1 (March 1, 1991): 104–10. http://dx.doi.org/10.1115/1.2897135.

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Plane-strain elastic-plastic crack-tip fields have been modeled with modified boundary layer formulations based on the first two terms K and T, of the elastic field. These formulations match the appropriate full field solutions. Compressive T stresses reduce the stresses by an amount which is independent of radial distance, corresponding to the introduction of a second term in addition to the dominant plastic singularity. Geometries which maintain J-dominance are characterized by zero or positive T stresses, while geometries with negative T stresses can be described by a two-parameter characterization using J and T into full plasticity.

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11

TABUCHI, Toshiaki, Takashi SOEDA, Terushige KAWATA, and Mitsuru SOEDA. "Parameter Estimation of ARMA Process by Taking into Consideration of ^|^part;kx(t)/^|^part;^|^alpha;T^|^middot;^|^epsilon;(t)." Transactions of the Society of Instrument and Control Engineers 24, no. 4 (1988): 357–62. http://dx.doi.org/10.9746/sicetr1965.24.357.

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12

Русаков, В. С., В. С. Покатилов, А. С. Сигов, А. А. Белик, and М. Е. Мацнев. "Температурные изменения магнитной структуры мультиферроика BiFe-=SUB=-0.80-=/SUB=-Cr-=SUB=-0.20-=/SUB=-O-=SUB=-3-=/SUB=-." Физика твердого тела 61, no. 6 (2019): 1107. http://dx.doi.org/10.21883/ftt.2019.06.47686.340.

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AbstractThe results of a Mössbauer study of the magnetic structure of multiferroic BiFe_0.80Cr_0.20O_3 in the temperature range of 5–550 K are presented. It is found that a collinear antiferromagnetic structure of the G type is present in BiFe_0.80Cr_0.20O_3 at temperatures below 260 K. Above 260 K, an anharmonic spin wave with a magnetic anisotropy of the easy-axis type with a high value of the anharmonicity parameter m arises. With a further increase in the temperature, the m parameter decreases and tends to zero at T ~ 420 K, at which a harmonic spin wave comes into existence. Above a temperature of about 420 K, the m parameter increases again and the spin wave becomes anharmonic with an easy-plane magnetic anisotropy. At the Néel temperature, T _N = 505 ± 10 K, the sample undergoes a transition from the magnetically ordered to the paramagnetic state. The change in the type of magnetic anisotropy at T ~ 420 K is explained by competing contributions of different signs to the effective magnetic anisotropy constant and their different temperature dependence for the BiFe_0.80Cr_0.20O_3 multiferroic.

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13

Ceci, S., A. Švarc, B. Zauner, D. M. Manley, and S. Capstick. "Model-independent resonance parameter extraction from the trace of K and T matrices." Physics Letters B 659, no. 1-2 (January 2008): 228–33. http://dx.doi.org/10.1016/j.physletb.2007.11.003.

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14

Li, Chen, Hiroyuki Okamura, and Tadashi Dohi. "Parameter Estimation of $M_{t}/M/1/K$ Queueing Systems With Utilization Data." IEEE Access 7 (2019): 42664–71. http://dx.doi.org/10.1109/access.2019.2906796.

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15

Dimitrijevic, M. S., and S. Sahal−Bréchot. "Stark broadening parameter tables for In III, Tl III and Pb IV." Serbian Astronomical Journal, no. 158 (1998): 81–91. http://dx.doi.org/10.2298/saj9858081d.

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Using a semiclassical approach, we have calculated electron-, proton-, and ionized helium-impact line widths and shifts for 20 In III multiplets for perturber densities 1014? 1020 cm?3 and 2 Tl III multiplets for perturber densities 1017 ? 1020 cm?3, and temperatures T = 20,000 ? 500,000 K, in both cases. We have calculated as well, electron-, proton-, and He III-impact line widths and shifts for 2 Pb IV multiplets, for perturber densities 1017? 1020 cm?3 and temperatures T = 50,000 ? 1,000,000 K.

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16

Ross, Sheldon M. "THE MEAN WAITING TIME FOR A PATTERN." Probability in the Engineering and Informational Sciences 13, no. 1 (January 1999): 1–9. http://dx.doi.org/10.1017/s0269964899131012.

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Consider a sequence of independent and identically distributed random variables along with a specified set of k-vectors. We present an expression for E [T], the mean time until the last k observed random variables fall within this set. Not only can this expression often be used to obtain bounds on E[T], it also gives rise to an efficient way of approximating E[T] by a simulation. Specific lower and upper bounds for E[T] are also derived. These latter bounds are given in terms of a parameter, and a Markov chain Monte Carlo approach to approximate this parameter by a simulation is indicated. The results of this paper are illustrated by considering the problem of determining the mean time until a sequence of k-valued random variables has a run of size k that encompasses each value.

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17

Rohmat, Dede. "Tipikal Kuantitas Infiltrasi Menurut Karakteristik Lahan (Kajian Empirik di DAS Cimanuk Bagian Hulu)." Forum Geografi 23, no. 1 (July 20, 2009): 41. http://dx.doi.org/10.23917/forgeo.v23i1.4998.

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Rate of infiltrate can be conduct as function of permeability, suction head and moisture of soil parameter. The parameters have close relationship with soil physical characteristics. That relation can be formulated by empirical research. This study have aim to get typical infiltrate quantity based on land characteristics. Method of Green-Ampt infiltrate developed and used to study typically of infiltrate capacity on Upstream of Watershed (Case on Upstream Cimanuk Watershed). Research conducted use empirical and analytical approach.Study conducted at Oxisol Soil occupied by five kinds of land use. There are 96 soil samples was gathered, taken away from 16 observation points. About 12 parameters of soil physical properties were analyzed to each soil sample. The study covering, development of typical capacities infiltrate pursuant on empiric data at multifarious land characteristics (forest; agro forestry; second crops (palawija); settlement; and non-arable land). The precipitation intensity has been formulated as function of rainy duration and its probabilities. K formulated as function of volumetric water content; rapid drainage pores, and slow drainage pores (K = f (θ, ηc, ηl). Parameter of y, formulated as function of soil moisture (ψ = f (θ)). Parameter of F (T) dummy, formulated as function of p and t; (F (T) Dummy=F (t,p)). So that pursuant to empirical data, rate of infiltrate f (t)) of Green Ampt developed as f (t = f (θ, ηc, ηl, τ, π); and infiltrate cumulative can be calculated by F (F = f (t), t). Infiltrate of every kinds of land characteristics have pattern which much the same to, but differ in its quantity.

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18

Romero Yanes, José F., Moacir F. L. da Costa, João P. G. Sampaio, Angélica M. Chacón Valero, Filipe X. Feitosa, and Hosiberto B. de Sant'Ana. "Experimental phase behavior and solubility parameter for crude oil + methane [T = 311.15–373.15 K] and crude oil + methane + CO2 mixtures [T = 343.15–383.15 K]." Fuel 288 (March 2021): 119675. http://dx.doi.org/10.1016/j.fuel.2020.119675.

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19

HAO, ZHIDONG. "THE EXACT SOLUTION OF THE BCS SELF-CONSISTENCY EQUATION AND THE IMPLICATIONS." Modern Physics Letters B 07, no. 22 (September 20, 1993): 1439–47. http://dx.doi.org/10.1142/s021798499300148x.

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The existence of a first order differential equation for the temperature dependence of the energy gap parameter Δk for each k state is pointed out. By using this equation, exact solution for the energy and temperature dependences of Δk is obtained. The energy range over which Δk is appreciable is within a few kBT c around the Fermi surface. Each k state may have its own temperature T c k, above which Δk = 0. In general, these T c k are not necessarily the same for all k states (the superconducting transition temperature T c corresponds to the largest T c k). Limitations of the BCS cutoff approximation are pointed out.

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20

Sultan, Hummara, Uzma Jan, and S. P. Ahmad. "Bayesian Normal and T-K Approximations for Shape Parameter of Type-I Dagum Distribution." International Journal of Mathematical Sciences and Computing 4, no. 3 (July 8, 2018): 13–22. http://dx.doi.org/10.5815/ijmsc.2018.03.02.

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21

Journal, Baghdad Science. "Study the Characteristic of the Coupling Parameter ( ? ) in Dusty Plasma by Computer modeling." Baghdad Science Journal 7, no. 1 (March 7, 2010): 98–104. http://dx.doi.org/10.21123/bsj.7.1.98-104.

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Computer modeling has been used to investing the Coulomb coupling parameter ?. The effects of the structure parameter K, grain charge Z, plasma density N, temperature dust grain Td, on the Coulomb coupling parameter had been studied. It was seen that the ? was increasing with increasing Z and N, and decrease with increasing K and T. Also the critical value of ? that the phase transfer of the plasma state from liquid to solid was studied.

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22

CORRADINI, MARIA G., and MICHA PELEG. "Demonstration of the Applicability of the Weibull–Log-Logistic Survival Model to the Isothermal and Nonisothermal Inactivation of Escherichia coli K-12 MG1655†." Journal of Food Protection 67, no. 11 (November 1, 2004): 2617–21. http://dx.doi.org/10.4315/0362-028x-67.11.2617.

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Published isothermal semilogarithmic survival curves of Escherichia coli K-12 MG1655, in the range of 49.8 to 60.6°C, all had noticeable downward concavity. They could be described by the model log S(t) = −b(T)tn, where S(t) = N(t)/N0, N(t) and N0 being the momentary and initial number of organisms, respectively; b(T) is a temperature-dependent rate parameter; and n is a constant found to be about 1.5. The temperature dependence of b(T) could be described by the log-logistic model, b(T) = ln{1 + exp[k(T − Tc)]}, which had an almost perfect fit, with k = 0.88°C−1 and Tc = 60.5°C. The constants, n, k, and Tc were considered the organism's survival parameters in the particular medium. They were incorporated into a rate equation on the assumption that in nonisothermal heating, the momentary inactivation rate is the isothermal rate at the momentary temperature at a time that corresponds to the momentary survival ratio. This model's estimates matched the actual survival curves obtained in the same work under two different nonisothermal heating profiles, lending support to the notion that the Weibull–log-logistic model combination can be used not only to describe isothermal inactivation mathematically, but also to predict survival patterns under nonisothermal conditions.

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23

Cui, Guo Min, Jin Yang Wang, Tao Jiang, and Xiang Bai Hu. "Transfer Behavior of Heat Exchanger." Advanced Materials Research 233-235 (May 2011): 1281–87. http://dx.doi.org/10.4028/www.scientific.net/amr.233-235.1281.

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This study deals with the transient response of heat exchanger which is approximated to the first-order system with delay. This function is of simple form and easy to be applied to design the practical controllers. The parameters such as gain K, time constant T and delay time are derived in this paper. On the basis of using the first-order system as the transfer function for a heat exchanger, more accurate models are built to derive the parameters K, T and respectively, which are constructed with a lumped parameter approach. Unlike a number of recent analyses K is obtained by using arithmetic mean temperature difference, log mean temperature difference has been employed instead, which minimized the error; time constant T is obtained by deriving the time constant of baffle; delay time is estimated by flow rate. The result shows that this method to study the dynamic characteristics of heat exchanger is easier, more accurate.

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24

Zhang, Xuemei. "Parameter Dependence of Positive Solutions for Second-Order Singular Neumann Boundary Value Problems with Impulsive Effects." Abstract and Applied Analysis 2014 (2014): 1–6. http://dx.doi.org/10.1155/2014/968792.

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The author considers the Neumann boundary value problem-y′′t+Myt=λωtft,yt, t∈J, t≠tk, -Δy′|t=tk=λIktk,ytk, k=1,2,…,m, y′(0)=y′(1)=0and establishes the dependence results of the solution on the parameterλ, which cover equations without impulsive effects and are compared with some recent results by Nieto and O’Regan.

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25

SINGH, K. P., V. P. S. AWANA, MD SHAHABUDDIN, M. HUSAIN, R. B. SAXENA, RASHMI NIGAM, M. A. ANSARI, et al. "PHASE FORMATION AND SUPERCONDUCTIVITY OF Fe-TUBE ENCAPSULATED AND VACUUM-ANNEALED MgB2." Modern Physics Letters B 20, no. 27 (November 30, 2006): 1763–69. http://dx.doi.org/10.1142/s0217984906011840.

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We report optimization of the synthesis parameters viz. heating temperature (TH), and hold time (t hold ) for vacuum-annealed (10-5 Torr) and LN 2 (liquid nitrogen) quenched MgB 2 compound. These are single-phase compounds crystallizing in the hexagonal structure (space group P 6/mmm ) at room temperature. Our XRD results indicated that for phase-pure MgB 2, the TH for 10-5 Torr annealed and LN 2-quenched samples is 750°C. The right stoichiometry i.e., MgB 2 of the compound corresponding to 10-5 Torr and TH of 750°C is found for the hold time (t hold ) of 2.30 hours. With varying t hold from 1–4 hours at fixed TH (750°C) and vacuum (10-5 Torr), the c-lattice parameter decreases first and later increases with t hold (hours) before a near saturation, while the a-lattice parameter first increases and later decreases beyond a t hold of 2.30 hours. The c/a ratio versus t hold plot showed an inverted bell-shaped curve, touching the lowest value of 1.141, which is the reported value for perfect stoichiometry of MgB 2. The optimized stoichimetric MgB 2 compound exhibited superconductivity at 39.2 K with a transition width of 0.6 K. In conclusion, the synthesis parameters for phase pure stoichimetric vacuum-annealed MgB 2 compound are optimized and are compared with widely-reported Ta tube encapsulated samples.

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26

TOYOKI, HIROYASU. "PHASE ORDERING SIMULATION OF VECTOR ORDER-PARAMETERS WITHOUT SINGULAR DEFECTS." Modern Physics Letters B 07, no. 06 (March 10, 1993): 397–403. http://dx.doi.org/10.1142/s0217984993000394.

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Cell dynamical study of phase ordering dynamics is presented for vector order-parameter systems without singular defects. The structure factor satisfies the scaling relation; S (k, t) = l (t)2 g(kl(t)), whose tail at kl ≫ 1 is characterized by a single power as g (x) ~ x −χ. The exponent χ is larger than an analytical value χ = d + n where n and d are the dimensionality of order-parameter and space respectively. The characteristic length varies as l (t) ~ t0.5 for n ≥ 4 while the growth for n = 3 is slower than that.

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27

HEALY, PATRICK, and KAROL LYNCH. "TWO FIXED-PARAMETER TRACTABLE ALGORITHMS FOR TESTING UPWARD PLANARITY." International Journal of Foundations of Computer Science 17, no. 05 (October 2006): 1095–114. http://dx.doi.org/10.1142/s0129054106004285.

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In this paper we consider the problem of testing an arbitrary digraph G = (V,E) for upward planarity. In particular we describe two fixed-parameter tractable algorithms for testing the upward planarity of G. The first algorithm that we present can test the upward planarity of G in O(2t · t! · |V|2)-time where t is the number of triconnected components of G. The second algorithm that we present uses a standard technique known as kernelisation and can test the upward planarity of G in O(|V|2 + k4 · (2k)!)-time, where k = |E| - |V|.

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28

Sun, Jian Dong, Jun Li Lv, Tao Du, and Yang Xian Li. "Numerical Modeling and Parametric Analysis of Multiplanar CHS KT-Joints with K-Plane Overlap and Out-of-Plane Gap." Applied Mechanics and Materials 94-96 (September 2011): 575–82. http://dx.doi.org/10.4028/www.scientific.net/amm.94-96.575.

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A finite element model simulating the experiment on multiplanar unstiffened CHS KT joints with K-plane overlapped and out-of-plane not (KT-IPOv joints), with the background of Suzhou International Convention & Exhibition Center, was advanced and validated by comparing failure mode and the ultimate capacity with experimental results, which is shown to be in good agreement with the test result. Using this model, the effect of non-dimensional parameters on ultimate capacity of KT-IPOv joints were studied, and resistance comparison between multiplanar KT-IPOv joints and uniplanar overlapped K-joints was carried out. The results of FE parametric Analysis conclude that multiplanar parameter ζ t, τT and βT have not significant influence on the ultimate strength; the effect of non-dimensional parameter βK, τK, γ, Ov on the resistance of multiplanar KT-IPOv joints has the same as that of uniplanar overlapped K-joints; the strength of multiplanar KT-IPOv joints have been not significantly influenced by the configuration with the brace inside T-plane which it is not subjected to force; it is suitable and feasiable that ultimate capacities of KT-IPOv joints predicted by formula of uniplanar K-joints.

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29

Paszkowicz, W., R. Černý, and S. Krukowski. "Rietveld refinement for indium nitride in the 105–295 K range." Powder Diffraction 18, no. 2 (June 2003): 114–21. http://dx.doi.org/10.1154/1.1566957.

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Results of Rietveld refinement for indium nitride data collected in the temperature range 105–295 K are presented. Acicular microcrystals of indium nitride prepared by reaction of liquid indium with nitrogen plasma were studied by X-ray diffraction. The diffraction measurements were carried out at the Swiss-Norwegian Beamline SNBL (ESRF) using a MAR345 image-plate detector. Excellent counting statistics allowed for refinement of the lattice parameters of InN as well as those of the metallic indium secondary phase. In the studied temperature range, the InN lattice parameters show a smooth increase that can be approximated by a linear function. Lattice-parameter dependencies confirm the trends indicated earlier by data measured using a conventional equipment. The relative change of both the a and c lattice parameters with increasing the temperature in the studied range is about 0.05%. The axial ratio slightly decreases with rising temperature. The experimental value of the free structural parameter, u=0.3769(14), is reported for InN for the first time. Its temperature variation is found to be considerably smaller than the experimental error. The thermal-expansion coefficients (TECs), derived from the linearly approximated lattice-parameter dependencies, are αa=3.09(14)×10−6 K−1 and αc=2.79(16)×10−6 K−1. The evaluated TECs are generally consistent with the earlier data. For the present dataset, the accuracy is apparently higher for both, the lattice parameters and thermal-expansion coefficients, than for the earlier results. The refined lattice parameter cIn of the indium secondary phase exhibits the known strongly nonlinear behavior; a shift (ΔT equal about −50 K) of the maximum in cIn(T) dependence is observed with respect to the literature data.

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30

BARTOS, A., D. WIARDA, Z. INGLOT, K. P. LIEB, M. UHRMACHER, and T. WENZEL. "MAGNETIC PHASE TRANSITIONS IN TRANSITIONAL METAL OXIDES STUDIED WITH PERTURBED ANGULAR CORRELATIONS." International Journal of Modern Physics B 07, no. 01n03 (January 1993): 357–60. http://dx.doi.org/10.1142/s0217979293000755.

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The Perturbed Angular Correlation (PAC) method with radioactive tracer nuclei is well-suited to study the critical behaviour of magnetic hyperfine fields. Here we present the results of PAC measurements with 111 Cd probes, concerning the antiferromagnetic phase transitions in CuO, Co 3 O 4 and MnO. The measured Larmor frequencies were fitted with a Curie-Weiss type temperature dependence ωL (T) /ωL(0) = (1- T/T N)β. In CuO the PAC probe is subject to a high electric field gradient (efg) with the coupling constant νQ = 434(2) MHz and the asymmetry parameter η = 0.42(1). Therefore, combined electric/magnetic hyperfine interaction is observed below T N. Similar to neutron diffraction experiments, a second magnetic transition was observed at T 1 = 213 K . The analysis of the PAC data gave T N = 224(2) K and β = 0.33(1) for T 1 ≤ T ≤ T N. In the spinel Co 3 O 3, the measured critical parameters for 111 Cd at cation sites with tetrahedral oxygen coordination are T N = 39(1) K and β = 0.34(2). This site has a nearly cubic oxygen coordination and therefore a vanishing efg. In Mn 1−x O (defective NaCl structure, x ≤ 0.15), the critical parameters were found to sensitively depend on the annealing conditions. They will be discussed in comparison with those in Fe 1−x O .

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Zhu, Qiao-Na, Qiang Wang, Yan-Biao Hu, and Xawkat Abliz. "Practical Determination of the Solubility Parameters of 1-Alkyl-3-methylimidazolium Bromide ([CnC1im]Br, n = 5, 6, 7, 8) Ionic Liquids by Inverse Gas Chromatography and the Hansen Solubility Parameter." Molecules 24, no. 7 (April 5, 2019): 1346. http://dx.doi.org/10.3390/molecules24071346.

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The physicochemical properties of four 1-alkyl-3-methylimidazolium bromide ([CnC1im]Br, n = 5, 6, 7, 8) ionic liquids (ILs) were investigated in this work by using inverse gas chromatography (IGC) from 303.15 K to 343.15 K. Twenty-eight organic solvents were used to obtain the physicochemical properties between each IL and solvent via the IGC method, including the specific retention volume and the Flory–Huggins interaction parameter. The Hildebrand solubility parameters of the four [CnC1im]Br ILs were determined by linear extrapolation to be δ 2 ( [ C 5 C 1 im ] Br ) = 25.78 (J·cm−3)0.5, δ 2 ( [ C 6 C 1 im ] Br ) = 25.38 (J·cm−3)0.5, δ 2 ( [ C 7 C 1 im ] Br ) =24.78 (J·cm−3)0.5 and δ 2 ( [ C 8 C 1 im ] Br ) = 24.23 (J·cm−3)0.5 at room temperature (298.15 K). At the same time, the Hansen solubility parameters of the four [CnC1im]Br ILs were simulated by using the Hansen Solubility Parameter in Practice (HSPiP) at room temperature (298.15 K). The results were as follows: δ t ( [ C 5 C 1 im ] Br ) = 25.86 (J·cm−3)0.5, δ t ( [ C 6 C 1 im ] Br ) = 25.39 (J·cm−3)0.5, δ t ( [ C 7 C 1 im ] Br ) = 24.81 (J·cm−3)0.5 and δ t ( [ C 8 C 1 im ] Br ) = 24.33 (J·cm−3)0.5. These values were slightly higher than those obtained by the IGC method, but they only exhibited small errors, covering a range of 0.01 to 0.1 (J·cm−3)0.5. In addition, the miscibility between the IL and the probe was evaluated by IGC, and it exhibited a basic agreement with the HSPiP. This study confirms that the combination of the two methods can accurately calculate solubility parameters and select solvents.

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32

McMullan, R. K., S. Ghose, N. Haga, and V. Schomaker. "Sodalite, Na4Si3Al3O12Cl: structure and ionic mobility at high temperatures by neutron diffraction." Acta Crystallographica Section B Structural Science 52, no. 4 (August 1, 1996): 616–27. http://dx.doi.org/10.1107/s0108768196004132.

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Crystal data: Na4Si3Al3O12Cl, cubic, space group P43n, Z = 2, F(000) = 233.06 fm, μ n = 0.06 cm−1, lattice parameter ao (Å) [T] (K) at eight temperatures: 8.882 (1) [295]; 8.902 (2) [500]; 8.912 (1) [600]; 8.923 (1) [700] 8.951 (2) [800]; 8.971(1) [900]; 8.988 (1) [1000]; 9.037 (1) [1200]. The crystal structure has been determined at six temperatures (295 ≤ T ≤ 1200 K) based on neutron diffraction data with (sin θ/λ) < 0.80 Å−1. Besides conventional parameters, the least-squares refinement model included thermal tensor parameters up to fourth-order for sodium and chlorine (295 ≤ T ≤ 1200 K) and up to third-order for oxygen (T ≥ 700 K), together with the 1:1 coupled site occupancy factors of sodium and chlorine (T = 1200 K). The indices-of-fit, wR(F 2), are in the range 0.015–0.028 with observation-to-parameter ratios from 7.0 to 8.6. Bond lengths and angles in the aluminosilicate framework have average e.s.d.'s less than 0.002 Å and 0.08°. Between 295 and 1200 K, the observed Si—O (Al—O) bond lengths differ by −0.015 Å (−0.012 Å); corrections for librating rigid SiO4 (AlO4) groups change the difference to +0.004 Å (+0.006 Å), compared with the 295 K value of 1.620 Å (1.741 Å). The unique Si—O—Al angle increases from 138.24° (295 K) to 146.87° (1200 K), while the Si and Al valence angles are virtually unchanged. Between 295 and 1200 K the [Na4Cl] clusters expand with increases in the Na—Cl bond lengths of 0.200 Å, with simultaneous increases in Na—O bond lengths of 0.145 Å and decreases in the shortest Na...O contact distances of 0.126 Å. The thermal expansion of sodalite is attributed to the increasing amplitudes of coupled translational motion of the Na+ ions and the librational motion of the [Al/ SiO4] tetrahedra, leading to the untwisting of the aluminosilicate framework. Maps of the probability density functions for Na+ and Cl− indicate ionic diffusion paths along (111) directions. There is a finite probability of finding the Na+ ion within the plane of the next-nearest O atoms, suggesting that Na+ jumps from an occupied to an unoccupied site in the next-nearest cage through the six-membered ring of [Al/SiO4] tetrahedra.

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33

Razavi, F. S., Y. Rohanizadegan, M. Hajialamdari, M. Reedyk, R. K. Kremer, and B. Mitrović. "The effect of quasiparticle self-energy on Cd2Re2O7 superconductor." Canadian Journal of Physics 93, no. 12 (December 2015): 1646–50. http://dx.doi.org/10.1139/cjp-2015-0173.

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The magnitude and the temperature dependence of the superconducting order parameter Δ(T) of single crystals of Cd2Re2O7 (Tc = 1.02 K) was measured using point-contact spectroscopy. To fit the conductance spectra and to extract the order parameter at different temperatures we generalized the Blonder–Tinkham–Klapwijk theory by including the self-energy of the quasiparticles into the Bogoliubov equations. This modification enabled excellent fits of the conductance spectra. Δ(T) increases steeply below the superconducting transition temperature of 1.02 K and levels off below ∼0.8 K at a value of 0.22(1) meV, ≈40% larger than the BCS value. Our results indicate the presence of a strong electron–phonon interaction and an enhanced quasiparticle damping and may be related to a possible phase transition within the superconducting region at ∼0.8 K.

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34

Aktaş, Can, Sezgin Aygün, and Pradyumn Kumar Sahoo. "Relationship between magnetic field and anisotropy parameter in gravitation theories." Modern Physics Letters A 33, no. 24 (August 3, 2018): 1850135. http://dx.doi.org/10.1142/s0217732318501353.

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The magnetized strange quark matter (MSQM) solutions are obtained for a Marder type universe using constant deceleration parameter. The exact solutions of field equations are obtained for f(R,[Formula: see text]T) = R + 2f(T) model given by [T. Harko et al., Phys. Rev. D 84, 024020 (2011)] with cosmological term. Also, we have obtained General Relativity (GR) solutions for MSQM distributions. For [Formula: see text], we get the dark energy model, i.e. [Formula: see text], [Formula: see text] and [Formula: see text]. However, for [Formula: see text], we find the cosmological constant [Formula: see text] as negative in f(R,[Formula: see text]T) theory and GR. These results agree with [S. Aygün et al., Astrophys. Space Sci. 361, 380 (2016); C. Aktaş and S. Aygün, Chinese J. Phys. 55, 71 (2017); P. K. Sahoo et al., Mod. Phys. Lett. A 32, 1750105 (2017)] in f(R,[Formula: see text]T) theory. The physical consequences of our obtained models are discussed at the end.

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35

Meliani, M. Hadj, Y. G. Matvienko, and G. Pluvinage. "Two-parameter fracture criterion (K ρ,c -T ef,c ) based on notch fracture mechanics." International Journal of Fracture 167, no. 2 (September 8, 2010): 173–82. http://dx.doi.org/10.1007/s10704-010-9542-1.

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36

Niedziela, Tadeusz. "Noncooled (Hg,Cd)Te IR photo detectors in range of 10.6 μm wavelength." AUTOBUSY – Technika, Eksploatacja, Systemy Transportowe 19, no. 12 (December 31, 2018): 795–801. http://dx.doi.org/10.24136/atest.2018.500.

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In range of 10.6 μm IR radiation an analysis of noncooled (T = 300 K) (PC) photodiodes and (EMCD) magnetoexlusion detectors with (Hg,Cd)Te was made. The basic detection parameters of these devices are limited by the noise resulting from statistical processes of thermal generation and carrier recombination. The parameter evaluation of related photodiodes demonstrates that the optimal parameters such as: thickness or structure doping on the substrate with a widened energy gap differs each other for structures with ohmic contacts at both ends. In the paper, for photodiodes and magnetoexclusion detectors with (Hg,Cd)Te the research results : optimal photosensitive detection parameters are presented for the room temperature (T=300 K) and acceptable large as well as small (5 and 0.5 W / mm2) densities of the dissipated power.

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37

Walch, Maria, Peter Schichtel, Dirk Lehmann, and Amala Paulson. "Meta-Parameter Selection for Embedding Generation of Latency Spaces in Auto Encoder Analytics." Engineering Proceedings 5, no. 1 (July 1, 2021): 30. http://dx.doi.org/10.3390/engproc2021005030.

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Picking an appropriate parameter setting (meta-parameters) for visualization and embedding techniques is a tedious task. However, especially when studying the latent representation generated by an autoencoder for unsupervised data analysis, it is also an indispensable one. Here we present a procedure using a cross-correlative take on the meta-parameters. This ansatz allows us to deduce meaningful meta-parameter limits using OPTICS, DBSCAN, UMAP, t-SNE, and k-MEANS. We can perform first steps of a meaningful visual analysis in the unsupervised case using a vanilla autoencoder on the MNIST and DeepVALVE data sets.

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Zubair, M. "Phantom crossing with collisional matter in f(T) gravity." International Journal of Modern Physics D 25, no. 05 (April 2016): 1650057. http://dx.doi.org/10.1142/s0218271816500577.

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We study the late-time cosmological evolution of [Formula: see text] (where [Formula: see text] is the torsion scalar) theories with matter contents consisting of collisional self-interacting matter and radiations. The power law, exponential and logarithmic [Formula: see text] models are considered to explore the evolution of Hubble parameter [Formula: see text], dark energy (DE) equation of state (EoS) [Formula: see text] and effective EoS parameter [Formula: see text]. We show that crossing of phantom divide line can be realized in the presence of collisional matter as compared to the results obtained for the choice of noncollisional matter [K. Bamba, C.-Q. Geng, C.-C. Lee and L.-W. Luo, J. Cosmol. Astropart. Phys. 01 (2011) 021; K. Bamba, C.-Q. Geng and C.-C. Lee, arXiv:1008.4036]. The evolutionary behavior of [Formula: see text] is consistent with the one developed in [P. Wu and H. Yu, Eur. Phys. J. C 71 (2011) 1552] and recent observational data [U. Alam, V. Sahni and A. A. Starobinsky, J. Cosmol. Astropart. Phys. 0406 (2004) 008; S. Nesseris and L. Perivolaropoulos, J. Cosmol. Astropart. Phys. 0701 (2007) 018; P. Wu and H. Yu, Phys. Lett. B 643 (2006) 315; U. Alam, V. Sahni and A. A. Starobinsky, J. Cosmol. Astropart. Phys. 0702 (2007) 011; H. K. Jassal, J. S. Bagla and T. Padmanabhan, Mon. Not. R. Astron. Soc. 405 (2010) 2639].

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39

Malcherek, T. "Spontaneous strain in synthetic titanite, CaTiOSiO4." Mineralogical Magazine 65, no. 6 (December 2001): 709–15. http://dx.doi.org/10.1180/0026461016560002.

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AbstractLattice parameters of synthetic titanite powder, CaTiOSiO4, have been determined between room temperature and 1023 K. Only the e11 and e13 components contribute significantly to the strain tensor associated with the antiferroelectric-paraelectric phase transition at Tc = 487 K. A finite strain component e13 is observed in the paraelectric phase for 487 K < T < 825 K. The disappearance of this shear strain marks the isosymmetric transition near 825 K. The temperature evolution of the volume strain and of e11 is proportional to the squared order parameter observed in single-crystal diffraction experiments. The magnitude of the volume strain is sufficiently large to relate the observed near tricritical behaviour of the antiferroelectric-paraelectric phase transition to strain coupling.

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40

BRASS, PETER, CHRISTIAN KNAUER, HYEON-SUK NA, CHAN-SU SHIN, and ANTOINE VIGNERON. "THE ALIGNED K-CENTER PROBLEM." International Journal of Computational Geometry & Applications 21, no. 02 (April 2011): 157–78. http://dx.doi.org/10.1142/s0218195911003597.

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In this paper we study several instances of the alignedk-center problem where the goal is, given a set of points S in the plane and a parameter k ⩾ 1, to find k disks with centers on a line ℓ such that their union covers S and the maximum radius of the disks is minimized. This problem is a constrained version of the well-known k-center problem in which the centers are constrained to lie in a particular region such as a segment, a line, or a polygon. We first consider the simplest version of the problem where the line ℓ is given in advance; we can solve this problem in time O(n log 2 n). In the case where only the direction of ℓ is fixed, we give an O(n2 log 2 n)-time algorithm. When ℓ is an arbitrary line, we give a randomized algorithm with expected running time O(n4 log 2 n). Then we present (1+ε)-approximation algorithms for these three problems. When we denote T(k, ε) = (k/ε2+(k/ε) log k) log (1/ε), these algorithms run in O(n log k + T(k, ε)) time, O(n log k + T(k, ε)/ε) time, and O(n log k + T(k, ε)/ε2) time, respectively. For k = O(n1/3/ log n), we also give randomized algorithms with expected running times O(n + (k/ε2) log (1/ε)), O(n+(k/ε3) log (1/ε)), and O(n + (k/ε4) log (1/ε)), respectively.

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41

CARMINATI, CARLO, and GIULIO TIOZZO. "The local Hölder exponent for the dimension of invariant subsets of the circle." Ergodic Theory and Dynamical Systems 37, no. 6 (March 8, 2016): 1825–40. http://dx.doi.org/10.1017/etds.2015.135.

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We consider for each $t$ the set $K(t)$ of points of the circle whose forward orbit for the doubling map does not intersect $(0,t)$, and look at the dimension function $\unicode[STIX]{x1D702}(t):=\text{H.dim}\,K(t)$. We prove that at every bifurcation parameter $t$, the local Hölder exponent of the dimension function equals the value of the function $\unicode[STIX]{x1D702}(t)$ itself. A similar statement holds for general expanding maps of the circle: namely, we consider the topological entropy of the map restricted to the survival set, and obtain bounds on its local Hölder exponent in terms of the value of the function.

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42

Ferretti, V., and D. Sankoff. "The empirical discovery of phylogenetic invariants." Advances in Applied Probability 25, no. 02 (June 1993): 290–302. http://dx.doi.org/10.1017/s0001867800025350.

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An invariant Φ of a tree T under a k-state Markov model, where the time parameter is identified with the edges of T, allows us to recognize whether data on N observed species can be associated with the N terminal vertices of T in the sense of having been generated on T rather than on any other tree with N terminals. The invariance is with respect to the (time) lengths associated with the edges of the tree. We propose a general method of finding invariants of a parametrized functional form. It involves calculating the probability f of all kN data possibilities for each of m edge-length configurations of T , then solving for the parameters using the m equations of form Φ (f) = 0. We apply this to the case of quadratic invariants for unrooted binary trees with four terminals, for all k, using the Jukes–Cantor type of Markov matrix. We report partial results on finding the smallest algebraically independent set of invariants.

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43

Ferretti, V., and D. Sankoff. "The empirical discovery of phylogenetic invariants." Advances in Applied Probability 25, no. 2 (June 1993): 290–302. http://dx.doi.org/10.2307/1427653.

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An invariant Φ of a tree T under a k-state Markov model, where the time parameter is identified with the edges of T, allows us to recognize whether data on N observed species can be associated with the N terminal vertices of T in the sense of having been generated on T rather than on any other tree with N terminals. The invariance is with respect to the (time) lengths associated with the edges of the tree. We propose a general method of finding invariants of a parametrized functional form. It involves calculating the probability f of all kN data possibilities for each of m edge-length configurations of T, then solving for the parameters using the m equations of form Φ (f) = 0. We apply this to the case of quadratic invariants for unrooted binary trees with four terminals, for all k, using the Jukes–Cantor type of Markov matrix. We report partial results on finding the smallest algebraically independent set of invariants.

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44

Dinnebier, Robert E., Wayne A. Dollase, Xavier Helluy, Jörg Kümmerlen, Angelika Sebald, Martin U. Schmidt, Silvina Pagola, Peter W. Stephens, and Sander van Smaalen. "Order–disorder phenomena determined by high-resolution powder diffraction: the structures of tetrakis(trimethylsilyl)methane C[Si(CH3)3]4 and tetrakis(trimethylsilyl)silane Si[Si(CH3)3]4." Acta Crystallographica Section B Structural Science 55, no. 6 (December 1, 1999): 1014–29. http://dx.doi.org/10.1107/s0108768199006126.

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The compounds tetrakis(trimethylsilyl)methane C[Si(CH3)3]4 (TC) and tetrakis(trimethylsilyl)silane Si[Si(CH3)3]4 (TSi) have crystal structures with the molecules in a cubic closed-packed (c.c.p.) stacking. At room temperature both structures have space group Fm{\bar 3}m (Z = 4) with a = 13.5218 (1) Å, V = 2472.3 (1) Å3 for TSi, and a = 12.8902 (2) Å, V = 2141.8 (1) Å3 for TC. X-ray scattering data can be described by a molecule with approximately sixfold orientational disorder, ruling out a structure with free rotating molecules. Upon cooling, TSi exhibits a first-order phase transition at T c = 225 K, as is characterized by a jump of the lattice parameter of Δa = 0.182 Å and by an exothermal maximum in differential scanning calorimetry (DSC) with ΔH = 11.7 kJ mol−1 and ΔS = 50.0 J mol−1 K−1. The structure of the low-temperature phase is refined against X-ray powder data measured at 200 K. It has space group P2 13 (Z = 4), a = 13.17158 (6) Å and V = 2285.15 (2) Å3. The molecules are found to be ordered as a result of steric interactions between neighboring molecules, as is shown by analyzing distances between atoms and by calculations of the lattice energy in dependence on the orientations of the molecules. TC has a phase transition at T c1 = 268 K, with Δa 1 = 0.065 Å, ΔH 1 = 3.63 kJ mol−1 and ΔS 1 = 13.0 J mol−1 K−1. A second first-order phase transition occurs at T c2 = 225 K, characterized by Δa 2 = 0.073 Å, ΔH 2 = 6.9 kJ mol−1 and ΔS 2 = 30.0 J mol−1 K−1. The phase transition at higher temperature has not been reported previously. New NMR experiments show a small anomaly in the temperature dependence of the peak positions in NMR to occur at T c2. Rietveld refinements were performed for the low-temperature phase measured at T = 150 K [space group P2 13, lattice parameter a = 12.609 (3) Å], and for the intermediate phase measured at T = 260 K [space group Pa{\bar 3}, lattice parameter a = 12.7876 (1) Å]. The low-temperature phase of TC is formed isostructural to the low-temperature phase of TSi. In the intermediate phase the molecules exhibit a twofold orientational disorder.

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45

El Amrouss, Abdelrachid, and Omar Hammouti. "Spectrum of discrete 2n-th order difference operator with periodic boundary conditions and its applications." Opuscula Mathematica 41, no. 4 (2021): 489–507. http://dx.doi.org/10.7494/opmath.2021.41.4.489.

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Let \(n\in\mathbb{N}^{*}\), and \(N\geq n\) be an integer. We study the spectrum of discrete linear \(2n\)-th order eigenvalue problems \[\begin{cases}\sum_{k=0}^{n}(-1)^{k}\Delta^{2k}u(t-k) = \lambda u(t) ,\quad & t\in[1, N]_{\mathbb{Z}}, \\ \Delta^{i}u(-(n-1))=\Delta^{i}u(N-(n-1)),\quad & i\in[0, 2n-1]_{\mathbb{Z}},\end{cases}\] where \(\lambda\) is a parameter. As an application of this spectrum result, we show the existence of a solution of discrete nonlinear \(2n\)-th order problems by applying the variational methods and critical point theory.

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46

Wood, Ian G., Lidunka Vočadlo, David P. Dobson, G. David Price, A. D. Fortes, Frances J. Cooper, J. W. Neale, et al. "Thermoelastic properties of magnesiowüstite, (Mg1−xFex)O: determination of the Anderson–Grüneisen parameter by time-of-flight neutron powder diffraction at simultaneous high pressures and temperatures." Journal of Applied Crystallography 41, no. 5 (September 11, 2008): 886–96. http://dx.doi.org/10.1107/s0021889808025417.

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The ability to perform neutron diffraction studies at simultaneous high pressures and high temperatures is a relatively recent development. The suitability of this technique for determiningP–V–Tequations of state has been investigated by measuring the lattice parameters of Mg1−xFexO (x= 0.2, 0.3, 0.4), in the rangeP < 10.3 GPa and 300 <T< 986 K, by time-of-flight neutron powder diffraction. Pressures were determined using metallic Fe as a marker and temperatures were measured by neutron absorption resonance radiography. Within the resolution of the experiment, no evidence was found for any change in the temperature derivative of the isothermal incompressibility, ∂KT/∂T, with composition. By assuming that the equation-of-state parameters either varied linearly or were invariant with composition, the 60 measured state points were fitted simultaneously to aP–V–T–xequation of state, leading to values of ∂KT/∂T= −0.024 (9) GPa K−1and of the isothermal Anderson–Grüneisen parameter δT= 4.0 (16) at 300 K. Two designs of simultaneous high-P/Tcell were employed during this study. It appears that, by virtue of its extended pressure range, a design using toroidal gaskets is more suitable for equation-of-state studies than is the system described by Le Godec, Dove, Francis, Kohn, Marshall, Pawley, Price, Redfern, Rhodes, Ross, Schofield, Schooneveld, Syfosse, Tucker & Welch [Mineral. Mag.(2001),65, 737–748].

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47

LEBED, A. G. "MAGNETIC TESTS TO REVEAL TRIPLET SUPERCONDUCTIVITY IN (TMTSF)2PF6 AND A POSSIBLE BREAKING OF A TIME REVERSAL SYMMETRY IN Sr2RuO4, LBCO, and YBCO." International Journal of Modern Physics B 16, no. 20n22 (August 30, 2002): 3198. http://dx.doi.org/10.1142/s0217979202013936.

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We propose methods to reveal the existence of a two-component triplet order parameter (which is recently suggested to break a time reversal symmetry in Sr 2 RuO 4) and to test a possible two-component singlet d-wave order parameter in high- T c superconductors (which may also break the time reversal symmetry). We have also determined a spin part (i.e., d(k) = [dx(k) ≠ 0, dy(k) = 0, dz(k) = 0)] of a triplet order parameter1,2 in (TMTSF) 2 PF 6 under pressure by means of an analysis of the experimental H c2 measurements (I. J. Lee et al., Phys. Rev. Lett. 78, 3555 (1997)).

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48

Corradini, Fulvio, Luigi Marcheselli, Lorenzo Tassi, Giuseppe Tosi, and Salvatore Fanali. "Thermodynamic behaviour of some electrolytes in ethane-1,2-diol from −10 to +80 °C." Canadian Journal of Chemistry 71, no. 8 (August 1, 1993): 1265–72. http://dx.doi.org/10.1139/v93-163.

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Conductivities of the electrolytes NaBr, NaPi, HPi, NaBPh4, and Ph4PBr in ethane- 1,2-diol were determined in the −10 ≤ t ≤ +80 °C temperature range. The experimental data were analyzed by the Fuoss–Hsia equation, which provides further informative parameters such as the dissociation constant (K) of the ion pairs formed in solution, the limiting equivalent conductivity (Λ0), and the ion-size parameter (å). Thermodynamic behaviour of these electrolytes was derived from analysis of the K values. Single-ion conductivities were evaluated on the basis of the assumption of Ph4PBPh4 as reference electrolyte.

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49

Arieli, R., A. Yalov, and A. Goldenshluger. "Modeling pulmonary and CNS O2 toxicity and estimation of parameters for humans." Journal of Applied Physiology 92, no. 1 (January 1, 2002): 248–56. http://dx.doi.org/10.1152/japplphysiol.00434.2001.

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10.1152/japplphysiol.00434.2001.—The power expression for cumulative oxygen toxicity and the exponential recovery were successfully applied to various features of oxygen toxicity. From the basic equation, we derived expressions for a protocol in which Po 2 changes with time. The parameters of the power equation were solved by using nonlinear regression for the reduction in vital capacity (ΔVC) in humans: %ΔVC = 0.0082 × t 2(Po 2/101.3)4.57, where t is the time in hours and Po 2is expressed in kPa. The recovery of lung volume is ΔVC t = ΔVCe × e −(−0.42 + 0.00379Po 2 ) t , where ΔVC t is the value at time tof the recovery, ΔVCe is the value at the end of the hyperoxic exposure, and Po 2 is the prerecovery oxygen pressure. Data from different experiments on central nervous system (CNS) oxygen toxicity in humans in the hyperbaric chamber ( n = 661) were analyzed along with data from actual closed-circuit oxygen diving ( n = 2,039) by using a maximum likelihood method. The parameters of the model were solved for the combined data, yielding the power equation for active diving: K = t 2(Po 2/101.3)6.8, where tis in minutes. It is suggested that the risk of CNS oxygen toxicity in diving can be derived from the calculated parameter of the normal distribution: Z = [ln( t) − 9.63 +3.38 × ln(Po 2/101.3)]/2.02. The recovery time constant for CNS oxygen toxicity was calculated from the value obtained for the rat, taking into account the effect of body mass, and yielded the recovery equation: Kt = K e × e −0.079 t , where Kt and K e are the values of K at time t of the recovery process and at the end of the hyperbaric oxygen exposure, respectively, and tis in minutes.

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50

Bagarello, Fabio, and Naomichi Hatano. "PT-symmetric graphene under a magnetic field." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 472, no. 2193 (September 2016): 20160365. http://dx.doi.org/10.1098/rspa.2016.0365.

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We propose a P T -symmetrically deformed version of the graphene tight-binding model under a magnetic field. We analyse the structure of the spectra and the eigenvectors of the Hamiltonians around the K and K ′ points, both in the P T -symmetric and P T -broken regions. In particular, we show that the presence of the deformation parameter V produces several interesting consequences, including the asymmetry of the zero-energy states of the Hamiltonians and the breakdown of the completeness of the eigenvector sets. We also discuss the biorthogonality of the eigenvectors, which turns out to be different in the P T -symmetric and P T -broken regions.

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