Статті в журналах: "Lattice agreement"

1

Attiya, Hagit, Maurice Herlihy, and Ophir Rachman. "Atomic snapshots using lattice agreement." Distributed Computing 8, no. 3 (March 1995): 121–32. http://dx.doi.org/10.1007/bf02242714.

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2

Lycett-Brown, Daniel, Ilya Karlin, and Kai H. Luo. "Droplet Collision Simulation by a Multi-Speed Lattice Boltzmann Method." Communications in Computational Physics 9, no. 5 (May 2011): 1219–34. http://dx.doi.org/10.4208/cicp.311009.091110s.

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AbstractRealization of the Shan-Chen multiphase flow lattice Boltzmann model is considered in the framework of the higher-order Galilean invariant lattices. The present multiphase lattice Boltzmann model is used in two-dimensional simulation of droplet collisions at high Weber numbers. Results are found to be in a good agreement with experimental findings.

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3

Li, Ning, and Ya-Jie Wu. "Mass spectra of Ds meson from Nf = 2 twisted mass lattice QCD." Modern Physics Letters A 30, no. 11 (April 2, 2015): 1550060. http://dx.doi.org/10.1142/s0217732315500601.

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In this paper, we study the mass spectra of Ds mesons, such as Ds, [Formula: see text] and Ds1. In the simulation, we use Nf = 2 twisted mass lattice QCD gauge configurations generated by the European Twisted Mass Collaboration (ETMC). The simulation is performed on lattices with lattice spacings a = 0.067 fm and lattice size 323×64, and a = 0.085 fm and lattice size 243×48, respectively. Our numerical results for the mass spectra of Ds mesons reached impressive agreement with the experimental data.

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4

AKTEKIN, N., Ş. ERKOÇ, and M. KALAY. "THE TEST OF THE FINITE-SIZE SCALING RELATIONS FOR THE FIVE-DIMENSIONAL ISING MODEL ON THE CREUTZ CELLULAR AUTOMATON." International Journal of Modern Physics C 10, no. 07 (October 1999): 1237–45. http://dx.doi.org/10.1142/s0129183199001005.

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The five-dimensional Ising model is simulated on the Creutz cellular automaton using the finite-size lattices with the linear dimension 4≤L≤16. The exponents in the finite-size scaling relations for the magnetic susceptibility and the order parameter at the infinite-lattice critical temperature are computed to be 2.52(7) and 1.25(11) using 6≤L≤12, respectively, which are in very good agreement with the Monte Carlo results and with the theoretical predictions of 5/2 and 5/4. The critical temperature for the infinite lattice is found to be 8.779(8) using 8≤L≤16 which is also in very good agreement with the recent precise results.

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5

Kia, Behnam, Sarvenaz Kia, John F. Lindner, Sudeshna Sinha, and William L. Ditto. "Coupling Reduces Noise: Applying Dynamical Coupling to Reduce Local White Additive Noise." International Journal of Bifurcation and Chaos 25, no. 03 (March 2015): 1550040. http://dx.doi.org/10.1142/s0218127415500406.

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We demonstrate how coupling nonlinear dynamical systems can reduce the effects of noise. For simplicity we investigate noisy coupled map lattices and assume noise is white and additive. Noise from different lattice nodes can diffuse across the lattice and lower the noise level of individual nodes. We develop a theoretical model that explains this observed noise evolution and show how the coupled dynamics can naturally function as an averaging filter. Our numerical simulations are in excellent agreement with the model predictions.

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6

MA, J. P. "A STUDY OF GLUON PROPAGATOR ON COARSE LATTICE." Modern Physics Letters A 15, no. 04 (February 10, 2000): 229–44. http://dx.doi.org/10.1142/s0217732300000220.

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We study gluon propagator in Landau gauge with lattice QCD, where we use an improved lattice action. The calculation of gluon propagator is performed on lattices with the lattice spacing from 0.40 fm to 0.24 fm and with the lattice volume from (2.40 fm )4 to (4.0 fm )4. We find that the rotation invariance is approximately restored in the q2-range, indicated by the fact that the propagator is a smooth function of the continuum momentum q2. We try to fit our results by two different ways, in the first one we interpret the calculated gluon propagators as a function of the continuum momentum, while in the second we interpret the propagators as a function of the lattice momentum. In both cases we use models which are the same in continuum limit. A qualitative agreement between two fittings is found.

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7

KALAY, M., and Z. MERDAN. "THE FINITE-SIZE SCALING STUDY OF THE SPECIFIC HEAT AND THE BINDER PARAMETER FOR THE FIVE-DIMENSIONAL ISING MODEL." Modern Physics Letters B 21, no. 28 (December 10, 2007): 1923–31. http://dx.doi.org/10.1142/s0217984907014279.

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The five-dimensional Ising model with nearest-neighbor pair interactions is simulated on the Creutz cellular automaton by using finite-size lattices with the linear dimensions L=4, 6, 8, 10, 12, 14, and 16. The temperature variations and the finite-size scaling plots of the specific heat and Binder parameter verify the theoretically-predicted expression near the infinite-lattice critical temperature. The approximate values for the critical temperature of the infinite-lattice, T c =8.8063, T c =8.7825 and T c =8.7572, are obtained from the intersection points of specific heat curves, Binder parameter curves and the straight line fit of specific heat maxima, respectively. These results are in agreement with the more precise value of T c =8.7787. The value obtained for the critical exponent of the specific heat, i.e. α=0.009, is also in agreement with α=0 predicted by the theory.

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8

Mataev, Muhkametkali, Moldir Abdraimova, and A. Atabay. "Synthesis and X-ray analysis of complex ferrite YbBiNaFe2O6,5." Chemical Bulletin of Kazakh National University, no. 2 (June 30, 2017): 14–17. http://dx.doi.org/10.15328/cb805.

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The complex oxide phase of the composition YbBiNaFe2O6,5 was synthesized by the high-temperature solid-phase reaction. X-ray diffraction analysis was used to study the structure for the first time; the type of syngony, unit cell parameters, X-ray diffraction and pycnometric densities were determined. X-ray diffraction was carried out by homology method from the initial fluorite structure δBi2O3. The method of least squares refined the parameters of the crystal lattice. The parameters of the orthorhombic lattice of complex mixed ferrite at the value of the number of formula units Z=4 are: a=5.2319, в=5.2186, с=7.5702 Å. The correctness of the results of the X-ray diffraction of complex mixed ferrite was confirmed by the good agreement between the experimental and calculated values of the inverse squares of the interplanar distances (104/d2). Satisfactory consistency of the values of the X-ray and pycnometric densities, ρrad = 8.335, ρpik = 8.328 g/cm3, proves the correctness of the results of the experiment. A comparative analysis of the interrelation between the parameters of the crystal lattice and the parameters of the crystal lattices of the initial oxide δBi2O3. The analysis shows the values of the parameters “a” and “c” are in satisfactory agreement with the parameters of the crystal lattice δBi2O3, the parameter “c” is distorted from the value of the parameter “a” on √2.

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9

Merdan, Ziya, Mehmet Bayirli, and Mustafa Kemal Ozturk. "The Finite-Size Scaling Study of the Specific Heat and the Binder Parameter of the Two-Dimensional Ising Model for the Fractals Obtained by Using the Model of Diffusion-Limited Aggregation." Zeitschrift für Naturforschung A 64, no. 12 (December 1, 2009): 849–54. http://dx.doi.org/10.1515/zna-2009-1212.

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The two-dimensional Ising model with nearest-neighbour pair interactions is simulated on the Creutz cellular automaton by using the finite-size lattices with the linear dimensions L = 80, 120, 160, and 200. The temperature variations and the finite-size scaling plots of the specific heat and the Binder parameter verify the theoretically predicted expression near the infinite lattice critical temperature. The approximate values for the critical temperature of the infinite lattice Tc = 2.287(6), Tc = 2.269(3), and Tc =2.271(1) are obtained from the intersection points of specific heat curves, Binder parameter curves, and the straight line fit of specific heat maxima, respectively. These results are in agreement with the theoretical value (Tc =2.269) within the error limits. The values obtained for the critical exponent of the specific heat, α = 0.04(25) and α = 0.03(1), are in agreement with α = 0 predicted by the theory. The values for the Binder parameter by using the finite-size lattices with the linear dimension L = 80, 120, 160, and 200 at Tc = 2.269(3) are calculated as gL(Tc) = −1.833(5), gL(Tc) = −1.834(3), gL(Tc) = −1.832(2), and gL(Tc) = −1.833(2), respectively. The value of the infinite lattice for the Binder parameter, gL(Tc) = −1.834(11), is obtained from the straight line fit of gL(Tc) = −1.833(5), gL(Tc) = −1.834(3), gL(Tc) = −1.832(2), and gL(Tc) = −1.833(2) versus L = 80, 120, 160, and 200, respectively

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10

Attiya, Hagit, and Arie Fouren. "Adaptive and Efficient Algorithms for Lattice Agreement and Renaming." SIAM Journal on Computing 31, no. 2 (January 2001): 642–64. http://dx.doi.org/10.1137/s0097539700366000.

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11

Johnson, R. W., and M. Teper. "An extended Isgur-Paton model: Agreement with the lattice?" Nuclear Physics B - Proceedings Supplements 63, no. 1-3 (April 1998): 197–99. http://dx.doi.org/10.1016/s0920-5632(97)00720-2.

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12

Kaya, Tuncer. "A new approach to real space renormalization group treatment of Ising model for square and simple cubic lattice." International Journal of Modern Physics B 32, no. 23 (August 29, 2018): 1850252. http://dx.doi.org/10.1142/s0217979218502521.

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Real Space Renormalization Group (RSRG) treatment of Ising model for square and simple cubic lattice is investigated and critical coupling strengths of these lattices are obtained. The mathematical complications, which appear inevitable in the decimated partition function due to Block-spin transformation, is treated with a relevant approximation. The approximation is based on the approximate equivalence of [Formula: see text] for small [Formula: see text], where K is the nearest neighbor coupling strength and [Formula: see text] is the nearest neighbor spins degrees of freedom around a central spin. The values of the critical coupling strengths are obtained as 0.4830 for square lattice and 0.2225 for simple cubic (SC) lattice. The corresponding critical exponents values [Formula: see text] and [Formula: see text] are also calculated within very acceptable agreement with those values obtained from numerical works.

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13

Parfenov, P. G. "On the Turns of Digital Images." Modeling and Analysis of Information Systems 20, no. 2 (March 18, 2015): 157–65. http://dx.doi.org/10.18255/1818-1015-2013-2-157-165.

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The images built on the basis of rectangular and hexagonal lattices are discussed in the article. For images on a rectangular lattice a formula is proposed, which gives approximate values of the components of a characteristic set of coefficients when turning at an arbitrary angle by the method of the nearest neighbor. The characteristic sets are presented in the form of diagrams, an experimental evaluation of errors is made. It was confirmed a good agreement with the predicted value component of characteristic sets and those which were obtained experimentally. For images built on the basis of a hexagonal lattice was offered a similar formula for the approximation of the components of the characteristic set for rotating at any angle, when this was applied to the modification of the nearest neighbor method for the preservation of coherence, as it was discovered its violation in some cases on a hexagonal lattice. On the basis of four-pixel fragments are built diagrams, which show a good agreement of predicted values and the obtained ones in the experiment. It was defined a system of three-pixel hexagonal fragments to which the theorem is proved on the Eulerian characteristic and were offered analytical expressions, which allow to avoid experimental detection of the characteristic sets of coefficients for all possible reference angles. Their use requires to produce only one such experiment.

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14

BASTONE, E. C., and P. R. SILVA. "AN EFFECTIVE FIELD MODEL TO HIGH TEMPERATURE SUPERCONDUCTORS: FITTING OF THE ENERGY GAP TO THE EXPERIMENTAL RESULTS OF THE Bi2Sr2CaCu2O8." Modern Physics Letters B 14, no. 11 (May 10, 2000): 385–92. http://dx.doi.org/10.1142/s0217984900000525.

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We use an effective field model (transverse Ising model) to describe the dependence on the temperature of the energy gap of some two-dimensional (2D) superconducting systems. The order parameter of this model is put in a direct correspondence with that of the Ising model. Then, we use the exact relations for the spontaneous magnetization of the Ising model in some 2D lattices as a means to fit the experimental results of Bi 2 Sr 2 CaCu 2 O 8 films obtained through reflectivity measurements by Brunel et al. [Phys. Rev. Lett.66, 1346 (1991)] and the argon-annealed Bi 2 Sr 2 CaCu 2 O 8 samples investigated by Staufer et al. [Phys. Rev. Lett.68, 1069 (1992)] through Raman scattering. The zero temperature energy gap Eg(0) relations were evaluated in various 2D lattices and also in the (3D) simple cubic lattice for comparison. In the square lattice case, we obtained Eg(0) = 3.52kT c , coincidentally the same number as the BCS result, and in the triangular lattice case, we get Eg(0) = 3.30kT c , in agreement with the experimental findings of Brunel et al.13

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15

CIACH, A., and G. STELL. "MESOSCOPIC FIELD THEORY OF IONIC SYSTEMS." International Journal of Modern Physics B 19, no. 21 (August 20, 2005): 3309–43. http://dx.doi.org/10.1142/s0217979205032176.

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A mesoscopic field theory for the primitive model of ionic systems with additional, short-range interactions is presented. Generic models in continuum space and with positions of the ions restricted to lattice sites of various lattices are described in detail. We describe briefly the field-theoretic methods and review the foundations of the mesoscopic description. The types of phase diagrams predicted by our theory for different versions of the model are presented and discussed. They all agree with recent simulations. On the quantitative level our theory yields an RPM tricritical-point location on the sc lattice which is in good agreement with the simulation results. Arguments indicating that the critical point in the RPM belongs to the Ising universality class are given.

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16

Fiedler, Thomas, Andreas Öchsner, Nilindu Muthubandara, Irina V. Belova, and Graeme E. Murch. "Calculation of the Effective Thermal Conductivity in Composites Using Finite Element and Monte Carlo Methods." Materials Science Forum 553 (August 2007): 51–56. http://dx.doi.org/10.4028/www.scientific.net/msf.553.51.

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In this paper, the Finite Element and lattice Monte Carlo methods are used to calculate the effective thermal conductivity of two models of a composite: circular and square inclusions arranged in a square planar arrangement. A new lattice Monte Carlo method based around Fick’s First Law is also presented. Excellent agreement is found between these quite different methods. It is also shown that the results are in excellent agreement with the century-old Maxwell Equation.

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17

Chen, Chengshang, Yuhan Fang, Chichen Jang, Wenchi Chen, Hui-Chi Lin, and Hsingchih Liang. "Systematically Investigating the Structural Variety of Crystalline and Kaleidoscopic Vortex Lattices by Using Laser Beam Arrays." Applied Sciences 11, no. 17 (August 30, 2021): 8018. http://dx.doi.org/10.3390/app11178018.

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We theoretically demonstrate that a family of vortex-lattice structures can be flexibly generated using a multi-beam interference approach. Numerical calculation presents a variety of crystalline and kaleidoscopic patterns. Based on the numerical analysis, we experimentally realized these structure beams by combining an amplitude mask with multiple apertures and a spiral phase plate. The excellent agreement between the experimental and theoretical results not only validates the presented method, but also manifests the structure of vortex lattices.

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18

Lan, Mai Thị, Nguyen Van Hong, Nguyen Thu Nhan, and Hoang Van Hue. "Influence of Blocking Effect and Energetic Disorder on Diffusion in One-dimensional Lattice." Communications in Physics 24, no. 1 (April 1, 2014): 85. http://dx.doi.org/10.15625/0868-3166/24/1/3454.

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The diffusion in one-dimensional disordered lattice with Gaussian distribution of site and transition energies has been studied by mean of kinetic Monte-Carlo simulation. We focus on investigating the influence of energetic disorders and diffusive particle density on diffusivity. In single-particle case, we used both analytical method and kinetic Monte-Carlo simulation to calculate the quantities that relate to diffusive behavior in disordered systems such as the mean time between two consecutive jumps, correlation factor and diffusion coefficient. The calculation shows a good agreement between analytical and simulation results for all disordered lattice types. In many-particle case, the blocking effect results in decreasing correlation factor F and average time $\tau _{jump}$ between two consecutive jumps. With increasing the number of particles, the diffusion coefficient $D_{M}$ decreases for site-energy and transition-energy disordered lattices due to the F-effect affects stronger than $\tau$-effect. Furthermore, the blocking effect almost is temperature independent for both lattices.

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19

Bang, Wonbae, M. T. Kaffash, M. T. Hossain, A. Hoffmann, J. B. Ketterson, and M. B. Jungfleisch. "Spin dynamics in permalloy nano-ellipses for honeycomb and square lattices." AIP Advances 12, no. 3 (March 1, 2022): 035131. http://dx.doi.org/10.1063/9.0000307.

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We report experimental and theoretical studies of spin dynamics in lattice structures of permalloy (Ni80Fe20) nano-ellipses, with four different types of networks including honeycomb and square lattices. The lattices are patterned at the center line of the co-planar wave guide and consist of non-contacting or contacting ellipses. Micromagnetic simulations show excellent agreement with the broadband ferromagnetic resonance (FMR) experimental results. We find the existence of a spin-wave mode localized in the vertex region of the contacting nano-ellipse network. Our finding has important implications when designing an artificial spin ice (ASI) network for functional magnonics.

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20

VERMA, M. P., S. K. MISHRA, and M. S. SODHA. "Effect of the inter-grain attractive potential on lattice dynamics in complex plasmas." Journal of Plasma Physics 79, no. 1 (August 20, 2012): 55–64. http://dx.doi.org/10.1017/s0022377812000694.

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AbstractThe dispersion relation for lattice waves in a linear chain of charged particles in a complex plasma has been derived on the basis of a screened inter-grain repulsive potential and an attractive shadow potential 1/r. It is seen that the inclusion of the attractive potential makes a significant difference in the results; the present results are in good agreement with the experiment. The dispersion relations, corresponding to square and hexagonal planar lattices, with vibrations confined to the plane have also been derived.

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21

Haridass, C., R. Sundararajan, and N. Krishnamurthy. "Lattice dynamics of thallium iodide." Canadian Journal of Physics 66, no. 7 (July 1, 1988): 630–32. http://dx.doi.org/10.1139/p88-104.

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The long-wavelength optical phonons in orthorhombic TlI are calculated employing a shell model and transferring the potential parameters from cubic TlI and TlBr. Satisfactory agreement between experimental Raman and infrared phonons suggests that the change in the crystal structure alone is the main reason for the redistribution of phonons in the cubic to orthorhombic transition.

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22

AKTEKİN, N. "EFFECT OF THE NUMBER OF ENERGY LEVELS OF A DEMON ON THE SIMULATION OF THE ISING MODELS IN FIVE TO SEVEN DIMENSIONS ON THE CREUTZ CELLULAR AUTOMATON." International Journal of Modern Physics C 10, no. 04 (June 1999): 621–33. http://dx.doi.org/10.1142/s0129183199000462.

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The Ising models in five to seven dimensions are simulated on the Creutz cellular automaton with the three- to five-bit demons on finite-size lattices. The simulations result in overlapping curves for both the order parameter and the internal energy. However, the magnetic susceptibility and the specific heat curves converge to the limiting ones as the number of bits increases. By fitting the order parameter data within the temperature interval where the infinite lattice is approximated, to a power law with correction and by using the renormalization group prediction for its leading critical exponent as the criterion, the value of the critical temperature for the infinite lattice is obtained. For the Ising models in five to seven dimensions, they are in agreement with the Monte Carlo and the series expansion results.

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23

Tung, J. C., B. H. Chen, and C. K. Sung. "Characterizing the propagation evolution of optical vortex lattices in astigmatic transformations of frequency-doubled laser modes." Optics Express 32, no. 16 (July 18, 2024): 27989. http://dx.doi.org/10.1364/oe.530834.

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We develop a wave representation to characterize the propagation evolution of vortex lattice beams, which are produced through a frequency-doubling process of various high-order laser modes, followed by mode conversion. Their phase fields and phase gradients are further analyzed to verify the topological charge for each isolated vortex, as well as the symmetry and net charges of the vortex lattices. In the experiment, we demonstrate the generation of frequency-doubled high-order modes by utilizing an off-center pumped solid-state laser combined with intracavity second-harmonic generation. Subsequently, we employ an astigmatic mode converter to transform the generated frequency-doubled laser modes, obtaining vortex arrays. The strong agreement between theoretical analysis and experimental data not only validates the derived formula but also confirms the creation and characteristics of the vortex lattice beams.

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24

KUMAR, RAGHUVESH, GEETA SHARMA, and MUNISH KUMAR. "SIZE AND TEMPERATURE EFFECT ON THERMAL EXPANSION COEFFICIENT AND LATTICE PARAMETER OF NANOMATERIALS." Modern Physics Letters B 27, no. 25 (September 23, 2013): 1350180. http://dx.doi.org/10.1142/s0217984913501807.

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A simple theoretical model is developed to study the effect of size and temperature on the coefficient of thermal expansion and lattice parameter of nanomaterials. We have studied the size dependence of thermal expansion coefficient of Pb , Ag and Zn in different shape viz. spherical, nanowire and nanofilm. A good agreement between theory and available experimental data confirmed the model predictions. We have used these results to study the temperature dependence of lattice parameter for different size and also included the results of bulk materials. The temperature dependence of lattice parameter of Zn nanowire and Ag nanowire are found to present a good agreement with the experimental data. We have also computed the temperature and size dependence of lattice parameter of Se and Pb for different shape viz. spherical, nanowire and nanofilm. The results are discussed in the light of recent research on nanomaterials.

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25

Sienkiewicz, Judyta, Paweł Płatek, Fengchun Jiang, Xiaojing Sun, and Alexis Rusinek. "Investigations on the Mechanical Response of Gradient Lattice Structures Manufactured via SLM." Metals 10, no. 2 (February 3, 2020): 213. http://dx.doi.org/10.3390/met10020213.

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The main aim of the paper is to evaluate the mechanical behavior or lattice specimens subjected to quasi-static and dynamic compression tests. Both regular and three different variants of SS 316L lattice structures with gradually changed topologies (discrete, increase and decrease) have been successfully designed and additively manufactured with the use of the selective laser melting technique. The fabricated structures were subjected to geometrical quality control, microstructure analysis, phase characterization and compression tests under quasi-static and dynamic loading conditions. The mismatch between dimensions in the designed and produced lattices was noticed. It generally results from the adopted technique of the manufacturing process. The microstructure and phase composition were in good agreement with typical ones after the additive manufacturing of stainless steel. Moreover, the relationship between the structure relative density and its energy absorption capacity has been defined. The value of the maximum deformation energy depends on the adopted gradient topology and reaches the highest value for a gradually decreased topology, which also indicates the highest relative density. However, the highest rate of densification was observed for a gradually increasing topology. In addition, the results show that the gradient topology of the lattice structure affects the global deformation under the loading. Both, static and dynamic loading resulted in both barrel- and waisted-shaped deformation for lattices with an increasing and a decreasing gradient, respectively. Lattice specimens with a gradually changed topology indicate specific mechanical properties, which make them attractive in terms of energy absorption applications.

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26

CHEN, YONG-CONG. "OPTIMIZING THE RVB STATE ON A TRIANGULAR LATTICE: PRESENCE OF THE LONG RANGE ORDER." Modern Physics Letters B 08, no. 20 (August 30, 1994): 1253–60. http://dx.doi.org/10.1142/s0217984994001242.

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We present a Schwinger boson approach for the RVB state of the spin-1/2 Heisenberg antiferromagnet on a triangular lattice. It is shown that a Gutzwiller projection of the mean field state that includes both antiferromagnetic and ferromagnetic decouplings leads to optimizing the RVB pair amplitudes within a self-consistent approximation. The resulting state yields, by Monte Carlo simulations, energies and spin-spin correlations in excellent agreement with the exact diagonalization result on finite lattices (up to 36 sites). We conclude that the optimized RVB wave function possesses a long range three-sublattice order.

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27

Zhang, Ling-Yun, Jia-Tih Lin, Bo-Zang Li, and Fu-Cho Pu. "Thermal Properties of High Temperature Superconductors: Soliton Statistics Approach." Modern Physics Letters B 11, no. 04 (February 10, 1997): 149–54. http://dx.doi.org/10.1142/s0217984997000207.

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We develop a soliton statistics approach to discuss the lattice effect of high temperature superconductor in the Davydov model on the basis of the bisoliton idea. We prove that lattice displacement in the Davydov model satisfies ϕ4 field form. Critical temperature of high temperature superconductor is studied from statistics of lattice kink. We have shown that the lattice effect is pronounced for thermal properties of high temperature superconductors. Comparision between theoretical and experimental results are good agreement for LaSrCuO and YBaCuO superconductor materials.

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28

Sá Martins, J. S., and P. M. C. de Oliveira. "Lattice Simulation of Nuclear Multifragmentation." International Journal of Modern Physics C 09, no. 06 (September 1998): 867–74. http://dx.doi.org/10.1142/s0129183198000819.

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Motivated by the decade-long debate over the issue of criticality supposedly observed in nuclear multifragmentation, we propose a dynamic lattice model to simulate the phenomenon. Its Ising Hamiltonian mimics a short range attractive interaction which competes with a thermal-like dissipative process. The results here presented, generated through an event-by-event analysis, are in agreement with both experiment and those produced by a percolative (nondynamic) model.

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29

Wang, Zuo, Jiazhong Zhang, Yan Liu, and Le Wang. "Regularized lattice Bhatnagar–Gross–Krook model for the thermal flow in porous media." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 232, no. 3 (October 16, 2017): 405–15. http://dx.doi.org/10.1177/0954406217719307.

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A regularized lattice Bhatnagar–Gross–Krook model for flow and heat transfer in porous media at the representative element volume scale is presented. In the model, the regularization process is extended to the existing Darcy–Forchheimer-based lattice Bhatnagar–Gross–Krook scheme. Numerical results show good agreement between the present model and the previous ones. Also, the present model shows better numerical stability than its lattice Bhatnagar–Gross–Krook counterpart.

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30

ANTROPOV, S., M. BORDAG, V. DEMCHIK, and V. SKALOZUB. "LONG RANGE CHROMOMAGNETIC FIELDS AT HIGH TEMPERATURE." International Journal of Modern Physics A 26, no. 27n28 (November 10, 2011): 4831–43. http://dx.doi.org/10.1142/s0217751x11054747.

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The magnetic mass of neutral gluons in Abelian chromomagnetic field at high temperature is calculated in SU(2) gluodynamics. It is noted that such fields are spontaneously generated at high temperature. The mass is computed either from the Schwinger–Dyson equation accounting for the one-loop polarization tensor or in Monte Carlo simulations on a lattice. In latter case, an average magnetic flux penetrating a plaquette is measured for a number of lattices. Both calculations are in agreement with each other and result in zero magnetic mass. Some applications of the results obtained are discussed.

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31

Zhang, Huixi Violet, Frank Polzer, Michael J. Haider, Yu Tian, Jose A. Villegas, Kristi L. Kiick, Darrin J. Pochan, and Jeffery G. Saven. "Computationally designed peptides for self-assembly of nanostructured lattices." Science Advances 2, no. 9 (September 2016): e1600307. http://dx.doi.org/10.1126/sciadv.1600307.

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Folded peptides present complex exterior surfaces specified by their amino acid sequences, and the control of these surfaces offers high-precision routes to self-assembling materials. The complexity of peptide structure and the subtlety of noncovalent interactions make the design of predetermined nanostructures difficult. Computational methods can facilitate this design and are used here to determine 29-residue peptides that form tetrahelical bundles that, in turn, serve as building blocks for lattice-forming materials. Four distinct assemblies were engineered. Peptide bundle exterior amino acids were designed in the context of three different interbundle lattices in addition to one design to produce bundles isolated in solution. Solution assembly produced three different types of lattice-forming materials that exhibited varying degrees of agreement with the chosen lattices used in the design of each sequence. Transmission electron microscopy revealed the nanostructure of the sheetlike nanomaterials. In contrast, the peptide sequence designed to form isolated, soluble, tetrameric bundles remained dispersed and did not form any higher-order assembled nanostructure. Small-angle neutron scattering confirmed the formation of soluble bundles with the designed size. In the lattice-forming nanostructures, the solution assembly process is robust with respect to variation of solution conditions (pH and temperature) and covalent modification of the computationally designed peptides. Solution conditions can be used to control micrometer-scale morphology of the assemblies. The findings illustrate that, with careful control of molecular structure and solution conditions, a single peptide motif can be versatile enough to yield a wide range of self-assembled lattice morphologies across many length scales (1 to 1000 nm).

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32

Ribeiro, A. N., and C. A. Macedo. "On the Validity of the Dynamical Mean-Field Approximation for Studying the Two-Dimensional Hubbard Model on a Square Lattice." Advances in Condensed Matter Physics 2010 (2010): 1–5. http://dx.doi.org/10.1155/2010/487381.

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The dynamical mean-field approximation (DMFA) becomes exact in the limit of infinite dimensions, and allows results to be obtained in a nonperturbative regime without the limitations normally found with exact diagonalization (ED) and quantum Monte Carlo (QMC) methods. In this paper, we investigate the applicability of the method to lattices with small coordination number in special situations. Specifically we use this approximation to study the two-dimensional (2D) Hubbard model on a square lattice far from half filling. In this situation, we calculate the specific heat and find that when the filling decreases, that is, antiferromagnetic correlations become less important, the agreement between DMFA and QMC results increases. Our results show that the DMFA can be a valuable technique for studying the thermodynamic properties of the Hubbard model also on a square lattice, but within a parameter range in which the antiferromagnetic correlations are not important.

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33

LEPAGE, P., and C. DAVIES. "HIGH PRECISION LATTICE QCD MEETS EXPERIMENT." International Journal of Modern Physics A 19, no. 06 (March 10, 2004): 877–86. http://dx.doi.org/10.1142/s0217751x04018841.

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We review recent results in lattice QCD from numerical simulations that allow for a much more realistic QCD vacuum than has been possible before. Comparison with experiment for a variety of hadronic quantities gives agreement to within statistical and systematic errors of 3%. We discuss the implications of this for future calculations in lattice QCD, particularly those which will provide input for B-factory experiments.

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34

Kryzhanovsky, Boris, Leonid Litinskii, and Vladislav Egorov. "Analytical Expressions for Ising Models on High Dimensional Lattices." Entropy 23, no. 12 (December 10, 2021): 1665. http://dx.doi.org/10.3390/e23121665.

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We use an m-vicinity method to examine Ising models on hypercube lattices of high dimensions d≥3. This method is applicable for both short-range and long-range interactions. We introduce a small parameter, which determines whether the method can be used when calculating the free energy. When we account for interaction with the nearest neighbors only, the value of this parameter depends on the dimension of the lattice d. We obtain an expression for the critical temperature in terms of the interaction constants that is in a good agreement with the results of computer simulations. For d=5,6,7, our theoretical estimates match the numerical results both qualitatively and quantitatively. For d=3,4, our method is sufficiently accurate for the calculation of the critical temperatures; however, it predicts a finite jump of the heat capacity at the critical point. In the case of the three-dimensional lattice (d=3), this contradicts the commonly accepted ideas of the type of the singularity at the critical point. For the four-dimensional lattice (d=4), the character of the singularity is under current discussion. For the dimensions d=1, 2 the m-vicinity method is not applicable.

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35

Molina, R., B. Hu, M. Doering, M. Mai та A. Alexandru. "Chiral Extrapolations of the ρ(770) Meson in Nf = 2 + 1 Lattice QCD Simulations". EPJ Web of Conferences 175 (2018): 05002. http://dx.doi.org/10.1051/epjconf/201817505002.

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Several lattice QCD simulations of meson-meson scattering in p-wave and Isospin = 1 in Nf = 2 + 1 flavours have been carried out recently. Unitarized Chiral Perturbation Theory is used to perform extrapolations to the physical point. In contrast to previous findings on the analyses of Nf = 2 lattice data, where most of the data seems to be in agreement, some discrepancies are detected in the Nf = 2 + 1 lattice data analyses, which could be due to different masses of the strange quark, meson decay constants, initial constraints in the simulation, or other lattice artifacts. In addition, the low-energy constants are compared to the ones from a recent analysis of Nf = 2 lattice data.

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36

CRESWICK, RICHARD J., and CYNTHIA J. SISSON. "MONTE CARLO STUDY OF THE SPIN-1/2 HEISENBERG MODEL IN 1, 2, AND 3 DIMENSIONS." Modern Physics Letters B 05, no. 13 (June 10, 1991): 907–14. http://dx.doi.org/10.1142/s0217984991001131.

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The properties of the spin-1/2 Heisenberg model on 1, 2, and 3-dimensional lattices are calculated using the Decoupled Cell Method of Homma et al., and these results are compared with high temperature and spin-wave expansions, and with other numerical approaches. The DCM has advantages over other Monte Carlo methods currently in wide use in that the transition probability is positive definite, there is no need to introduce an additional imaginary time, or Trotter, dimension, and the acceptance rate for transitions is comparable to that of classical lattice models. We find very good agreement between the DCM and the high temperature expansion in the temperature region where the high temperature expansion is valid, and reasonably good agreement at low temperatures with spin wave theory. The DCM fails for temperatures T < Tc which decreases with the size of the cell.

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37

JIN KIM, HYO, and WOONG KIL CHOO. "THEORETICAL STUDY OF STRUCTURAL AND LATTICE DYNAMICAL PROPERTIES OF MgF2 USING A PAIR-POTENTIAL MODEL." International Journal of Modern Physics B 08, no. 11n12 (May 30, 1994): 1543–61. http://dx.doi.org/10.1142/s021797929400066x.

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A two-body interatomic potential model for magnesium difluoride ( MgF 2) is constructed from the known crystal structure and elastic constants. The reliability of this potential model is critically evaluated through the calculation of structural and lattice dynamical properties of MgF 2 in sellaite phase with rutile structure. Energy minimization techniques have been used to predict the lattice parameters and structural properties of MgF 2 both at ambient and elevated pressure conditions. It was found that the calculated structural properties are in excellent agreement with the experimental results. Harmonic lattice dynamical calculations have been performed on the equilibriated structure corresponding to the potential energy minimum. The computed phonon frequencies are in good agreement with experimental data and phonon dispersion curves are reproduced just as well. Frequencies calculated throughout the Brillouin zone have been used to construct a frequency distribution function and harmonic contribution to the specific heat is also calculated.

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38

Kagemoto, H., M. J. Wolfgang, D. K. P. Yue, and M. S. Triantafyllou. "Force and Power Estimation in Fish-Like Locomotion Using a Vortex-Lattice Method." Journal of Fluids Engineering 122, no. 2 (December 7, 1999): 239–53. http://dx.doi.org/10.1115/1.483251.

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The forces and power needed for propelling at constant speed an actively swimming flexible fish-like body are calculated. A vortex-lattice method based on a linearized theory is employed and the results are compared against slender body theory predictions, as well as experimental data from an eight-link robotic instrument, the RoboTuna. Qualitative agreement is found between our method and slender body theory; with quantitative agreement over certain parametric ranges and disagreement for other ranges of practical interest. The present linearized vortex lattice calculations predict the power needed for propelling the RoboTuna with less than 20 percent error in most experiments conducted. [S0098-2202(00)01202-5]

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39

DOLOCAN, ANDREI, and VOICU DOLOCAN. "QUANTUM MECHANICAL TREATMENT OF THE ELECTRICAL INTERACTION VIEWED AS AN ELASTIC COUPLING THROUGH FLUX LINES." International Journal of Modern Physics B 16, no. 32 (December 20, 2002): 4809–30. http://dx.doi.org/10.1142/s021797920201498x.

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Using the Lagrangian formalism we attempt to calculate the interaction energy between the two bodies, nonconnected and connected, in a linear lattice. The obtained results show that the interaction is dependent on the dispersion relation ω (q). On this basis we calculate the binding energy of an ionic lattice and we have found a good agreement with experimental data.

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40

Asada, Hiromu. "Improvement of the Bethe–Peierls approximation to lattice gases." Canadian Journal of Physics 63, no. 9 (September 1, 1985): 1258–63. http://dx.doi.org/10.1139/p85-206.

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The Bethe–Peierls approximation to lattice gases is improved by introducing new self-consistent parameters relating to positional correlation between atoms. The improved method is applied to the triangular lattice with first nearest neighbour attractive interactions. Calculated critical temperature and critical thermodynamic properties show better agreement with the exact ones than those in the normal Bethe–Peierls approximation.

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41

Juarez, Chia Zheng Jie, Seong Chun Koay, Ming Yeng Chan, Hui Leng Choo, Ming Meng Pang, and Thai Kiat Ong. "Finite Element Analysis Study on Lattice Structure Fabricated Recycled Polystyrene from Post-used Styrofoam Waste." MATEC Web of Conferences 335 (2021): 03007. http://dx.doi.org/10.1051/matecconf/202133503007.

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Lattice structure design widely applicable for 3D printed components. This research investigated the lattice structure with different shape and relative density using Finite Element Analysis (FEA) simulation. The material used for the lattice structure was the recycled polystyrene made from post-used Styrofoam. The research assessed the mechanical behaviour of lattice structure with either triangular prism and square prism with FEA simulation and numerical mathematical modelling, such as stiffness to-mass ratio, maximum von Misses stress and effective Young’s modulus. The finding FEA shows a good agreement with result from numerical mathematic modelling. The FEA results show lattice structure with triangular prism exhibited lowest value of maximum von Misses stress with maximum stiffness-to-mass value compared to lattice structure square prism. The finding from this work provided an early prediction on mechanical properties of lattice structure fabricated from recycled polystyrene.

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42

Brandt, Bastian B. "Revisiting the flux tube spectrum of 3d SU(2) lattice gauge theory." Indian Journal of Physics 95, no. 8 (June 4, 2021): 1613–22. http://dx.doi.org/10.1007/s12648-021-02127-9.

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AbstractWe perform a high-precision measurement of the spectrum of the flux tube in three-dimensional $${\text {SU}}(2)$$ SU ( 2 ) gauge theory at multiple lattice spacings. We compare the results at large $$q\bar{q}$$ q q ¯ separations R to the spectrum predicted by the effective string theory, including the leading-order boundary term with a nonuniversal coefficient. We find qualitative agreement with the predictions from the leading-order Nambu–Goto string theory down to small values of R, while, at the same time, observing the predicted splitting of the second excited state due to the boundary term. On fine lattices and at large R, we observe slight deviations from the EST predictions for the first excited state.

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43

Kirsanov, M. N. "Analytical Estimation of the Natural Oscillation Frequency of a Planar Lattice." Advanced Engineering Research 22, no. 4 (January 9, 2023): 315–22. http://dx.doi.org/10.23947/2687-1653-2022-22-4-315-322.

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Introduction. A new scheme of a flat statically determinate regular lattice is proposed. The lattice rods are hinged. The study aims at deriving a formula for the dependence on the number of panels of the first natural oscillation frequency of nodes endowed with masses, each of which has two degrees of freedom in the lattice plane. The rigidity of all rods is assumed to be the same, the supports (movable and fixed hinges) — nondeformable. Another objective of the study is to find the dependence of the stresses in the most compressed and stretched rods on the number of panels in an analytical form. Materials and Methods. An approximate Dunkerley’s method was used to determine the lower bound for the lattice natural frequency. The lattice rigidity was found in analytical form according to Maxwell-Mohr formula. The rod stresses and the reactions of the supports were determined from the equilibrium equations compiled for all lattice nodes. Generalization of the result to an arbitrary number of panels was performed by induction using Maple symbolic math operators for analytical solutions to a number of problems for lattices with different number of panels. Results. The lower analytical estimate of the first oscillation frequency was in good agreement with the numerical solution for the minimum frequency of the oscillation spectrum of the structure. Formulas were found for the stresses in four most compressed and stretched rods and their linear asymptotics. All required transformations were made in the system of Maple symbolic math. Discussion and Conclusions. The obtained dependence of the first frequency of lattice oscillations on the number of panels, mass and dimensions of the structure has a compact form and can be used as a test problem for numerical solutions and optimization of the structure.

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44

Iandiorio, Christian, Gianmarco Mattei, Emanuele Marotta, Girolamo Costanza, Maria Elisa Tata, and Pietro Salvini. "The Beneficial Effect of a TPMS-Based Fillet Shape on the Mechanical Strength of Metal Cubic Lattice Structures." Materials 17, no. 7 (March 28, 2024): 1553. http://dx.doi.org/10.3390/ma17071553.

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The goal of this paper is to improve the mechanical strength-to-weight ratios of metal cubic lattice structures using unit cells with fillet shapes inspired by triply periodic minimal surfaces (TPMSs). The lattice structures here presented were fabricated from AA6082 aluminum alloy using lost-PLA processing. Static and dynamic flat and wedge compression tests were conducted on samples with varying fillet shapes and fill factors. Finite element method simulations followed the static tests to compare numerical predictions with experimental outcomes, revealing a good agreement. The TPSM-type fillet shape induces a triaxial stress state that significantly improves the mechanical strength-to-weight ratio compared to fillet radius-free lattices, which was also confirmed by analytical considerations. Dynamic tests exhibited high resistance to flat impacts, while wedge impacts, involving a high concentrated-load, brought out an increased sensitivity to strain rates with a short plastic deformation followed by abrupt fragmentation, indicating a shift towards brittle behavior.

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45

Catterall, Simon, and Aarti Veernala. "A complete lattice technicolor model." International Journal of Modern Physics A 29, no. 25 (October 6, 2014): 1445002. http://dx.doi.org/10.1142/s0217751x1445002x.

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We construct a lattice gauge theory using reduced staggered fermions and gauge fields which provides a nonperturbative realization of a complete technicolor model; one which treats both strong and weakly coupled gauge sectors on an equal footing. We show that the model is capable of developing a Higgs phase at nonzero lattice spacing via the formation of fermion condensates. We show further that while the broken symmetry associated with this phase has a vector character in the lattice theory it is realized as an axial symmetry in the continuum limit in agreement with the Vafa–Witten theorem. We discuss our result in the context of universality.

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46

Gerasimov, N. V., and M. A. Zakharov. "Thermodynamics and phase diagram calculation of the binary arsenic-tellurium system in the framework of the generalized lattice model." Journal of Physics: Conference Series 2052, no. 1 (November 1, 2021): 012015. http://dx.doi.org/10.1088/1742-6596/2052/1/012015.

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Abstract In this work we describe how to efficiently calculate thermodynamic properties and T-x diagram of binary As-Te solution in the generalized lattice model. All the thermodynamic parameters of the As-Te solution are obtained within framework of the generalized lattice model. The binary phase diagram of As-Te system is calculated and good agreement with experimental data is obtained.

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47

CHEN, LINJIE, and CHANGFENG MA. "SIMULATION OF KdV-BURGERS EQUATION WITH LATTICE BGK MODEL." International Journal of Modern Physics B 25, no. 03 (January 30, 2011): 433–40. http://dx.doi.org/10.1142/s0217979211057402.

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The lattice BGK method is a recently developed numerical scheme for simulating a variety of physical systems in recent years. In this paper, a four-speed lattice BGK model is given for simulating KdV-Burgers equation ut+uux-αuxx+βuxxx = 0. Simulating results are compared with the analytical solution of the KdV-Burgers equation and they are in excellent agreement with each other.

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48

Reentovich, V. I., and S. B. Rutkevich. "On melting temperature of the Abrikosov vortex lattice." Soviet Journal of Low Temperature Physics 17, no. 4 (April 1, 1991): 266–68. https://doi.org/10.1063/10.0032823.

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An approximate criterion of melting without fitting parameters is proposed for the Abrikosov vortex lattice. The criterion is in good agreement with the experimental temperature dependences of heat capacity, which were observed for ordinary (Nb) and high-temperature (Y–Ba–Cu–O) superconductors. The fluctuation correction to the shear modulus of the vortex lattice is calculated in the Gaussian approximation.

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49

Hu, Wang Yu, Shi Fang Xiao, Jian Yu Yang, and Wei Hong Qi. "Inhomogeneous Lattice Distortion in Metallic Nanoparticles." Solid State Phenomena 121-123 (March 2007): 1045–48. http://dx.doi.org/10.4028/www.scientific.net/ssp.121-123.1045.

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In the present paper, the size and temperature effects on lattice distortion of Ag and Pt nanoparticles have been investigated in terms of atomic mean bond length using the molecular dynamics simulations and the modified analytic embedded atom method. It is found that the lattice contraction ratio decreases linearly with the reciprocal of the particle size. The average value of lattice contraction over the whole system is larger than that of the experimental data, and the average value of lattice contraction in the inner core has a better agreement with the experiment results. This phenomenon is mainly resulted by inhomogeneous lattice distortion. The surface distortion and the size effect on the inner core distortion are remarkable. As the grain size increases to a certain degree, the inhomogeneous surface lattice distortion is mainly localized to the outer shell with a thickness of 2-3 lattice parameters.

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50

BUNDARU, R. "Antiferromagnet on Pyrochlore Lattice in Spherical Approximation." Romanian Journal of Physics 68, no. 7-8 (September 15, 2023): 617. http://dx.doi.org/10.59277/romjphys.2023.68.617.

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"We develop an 1/n expansion method for the systematic approximation of the solutions of classical spin systems (tri-dimensional vectors) which can describe general spin-spin interactions and phases with complex magnetization pattern. This method is applied to study the phase transitions observed in pyrochlore crystals (e.g. Gd2Ti2O7) and the results have qualitative agreement with the experimental ones."

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