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Journal articles on the topic 'Equivalence Transport'

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Published: 27 July 2024

Last updated: 29 July 2024

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1

Leahy, Christopher, Haibo Chen, and Richard Batley. "Reliability Equivalence in Public Transport Contexts." Procedia - Social and Behavioral Sciences 138 (July 2014): 185–92. http://dx.doi.org/10.1016/j.sbspro.2014.07.194.

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2

ILIEV, BOZHIDAR Z. "LINKS BETWEEN CONNECTIONS, PARALLEL TRANSPORTS AND TRANSPORTS ALONG PATHS IN DIFFERENTIABLE FIBER BUNDLES." International Journal of Geometric Methods in Modern Physics 02, no. 05 (October 2005): 823–38. http://dx.doi.org/10.1142/s0219887805000806.

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The axiomatic approach to parallel transport theory is partially discussed. Bijective correspondences between the sets of connections, (axiomatically defined) parallel transports and transports along paths that satisfy some additional conditions are constructed. In particular, the equivalence between the concepts "connection" and "(axiomatically defined) parallel transport" is established.

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3

ILIEV, BOZHIDAR Z. "CONNECTIONS, PARALLEL TRANSPORTS AND TRANSPORTS ALONG PATHS." International Journal of Geometric Methods in Modern Physics 05, no. 07 (November 2008): 1137–62. http://dx.doi.org/10.1142/s0219887808003260.

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The concepts "connection", "parallel transport" and "transport along paths" are axiomatically defined. In differentiable bundles, bijective mappings between the sets of connections, parallel transports and transports along paths satisfying some additional conditions are found; in particular, the equivalence between the concepts "connection" and "(axiomatically defined) parallel transport" is established. Some results, which are specific for topological and vector bundles, are presented.

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4

Scholthof, Herman B. "Plant virus transport: motions of functional equivalence." Trends in Plant Science 10, no. 8 (August 2005): 376–82. http://dx.doi.org/10.1016/j.tplants.2005.07.002.

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5

Tabareau, Nicolas, Éric Tanter, and Matthieu Sozeau. "The Marriage of Univalence and Parametricity." Journal of the ACM 68, no. 1 (February 2021): 1–44. http://dx.doi.org/10.1145/3429979.

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Reasoning modulo equivalences is natural for everyone, including mathematicians. Unfortunately, in proof assistants based on type theory, which are frequently used to mechanize mathematical results and carry out program verification efforts, equality is appallingly syntactic, and as a result, exploiting equivalences is cumbersome at best. Parametricity and univalence are two major concepts that have been explored in the literature to transport programs and proofs across type equivalences, but they fall short of achieving seamless, automatic transport. This work first clarifies the limitations of these two concepts when considered in isolation and then devises a fruitful marriage between both. The resulting concept, called univalent parametricity , is an extension of parametricity strengthened with univalence that fully realizes programming and proving modulo equivalences. Our approach handles both type and term dependency, as well as type-level computation. In addition to the theory of univalent parametricity, we present a lightweight framework implemented in the Coq proof assistant that allows the user to transparently transfer definitions and theorems for a type to an equivalent one, as if they were equal. For instance, this makes it possible to conveniently switch between an easy-to-reason-about representation and a computationally efficient representation as soon as they are proven equivalent. The combination of parametricity and univalence supports transport à la carte : basic univalent transport, which stems from a type equivalence, can be complemented with additional proofs of equivalences between functions over these types, in order to be able to transport more programs and proofs, as well as to yield more efficient terms. We illustrate the use of univalent parametricity on several examples, including a recent integration of native integers in Coq. This work paves the way to easier-to-use proof assistants by supporting seamless programming and proving modulo equivalences.

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6

Labouré, Vincent, Yaqi Wang, Javier Ortensi, Nicolas Martin, and Sebastian Schunert. "Multischeme equivalence procedure for neutron transport finite element methods." Annals of Nuclear Energy 166 (February 2022): 108712. http://dx.doi.org/10.1016/j.anucene.2021.108712.

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7

Labouré, Vincent, Yaqi Wang, Javier Ortensi, Nicolas Martin, and Sebastian Schunert. "Multischeme equivalence procedure for neutron transport finite element methods." Annals of Nuclear Energy 166 (February 2022): 108712. http://dx.doi.org/10.1016/j.anucene.2021.108712.

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8

Giudicelli, Guillaume, Kord Smith, and Benoit Forget. "Generalized equivalence methods for 3D multi-group neutron transport." Annals of Nuclear Energy 112 (February 2018): 9–16. http://dx.doi.org/10.1016/j.anucene.2017.09.024.

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9

BASU, CHAITALI, and ABHIJIT MOOKERJEE. "EQUIVALENCE IN GEOMETRIC SCALING OF TRANSPORT PROPERTIES AND WAVEFUNCTIONS." International Journal of Modern Physics B 07, no. 05 (February 28, 1993): 1309–19. http://dx.doi.org/10.1142/s021797929300233x.

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The transport properties and wavefunction behave identically with respect to multifractal scaling. To establish the above statement, we carried out multifractal analysis on normalised transmittance and normalised wavefunction of two types of electron states, namely the resonance state and the localised state of a one-dimensional Anderson model.

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10

Fletcher, W. K., M. Church, and J. Wolcott. "Fluvial-transport equivalence of heavy minerals in the sand size range." Canadian Journal of Earth Sciences 29, no. 9 (September 1, 1992): 2017–21. http://dx.doi.org/10.1139/e92-158.

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Sediments caught in two pit traps installed in Harris Creek, a small gravel-bed stream in southern British Columbia, were sieved to give five size fractions between 53 and 425 μm, which were then separated into their magnetic and nonmagnetic components. Estimates of transport-equivalent sizes of the higher density magnetic fractions were obtained by determining the grain sizes of magnetic and nonmagnetic particles that enter the traps at proportionally similar rates for a wide range of discharge conditions. The estimates of transport-equivalent sizes are compared with settling-velocity equivalents from settling-tube data. Each heavy-mineral size fraction is transported at a rate similar to a specific larger size fraction, which is approximated by the equivalent settling diameter of particles of lower density.

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11

Romps, David M. "On the Equivalence of Two Schemes for Convective Momentum Transport." Journal of the Atmospheric Sciences 69, no. 12 (December 1, 2012): 3491–500. http://dx.doi.org/10.1175/jas-d-12-068.1.

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Abstract The Gregory–Kershaw–Inness (GKI) parameterization of convective momentum transport, which has a tunable parameter C, is shown to be identical to a parameterization with no pressure gradient force and a mass flux smaller by a factor of 1 − C. Using cloud-resolving simulations, the transilient matrix for momentum is diagnosed for deep convection in radiative–convective equilibrium. Using this transilient matrix, it is shown that the GKI scheme underestimates the compensating subsidence of momentum by a factor of 1 − C, as predicted. This result is confirmed using a large-eddy simulation.

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12

Steinigeweg, R., M. Ogiewa, and J. Gemmer. "Equivalence of transport coefficients in bath-induced and dynamical scenarios." EPL (Europhysics Letters) 87, no. 1 (July 1, 2009): 10002. http://dx.doi.org/10.1209/0295-5075/87/10002.

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13

Zhu, Zhen, Lingxin Zeng, Long Chen, Rong Zou, and Yingfeng Cai. "Fuzzy Adaptive Energy Management Strategy for a Hybrid Agricultural Tractor Equipped with HMCVT." Agriculture 12, no. 12 (November 23, 2022): 1986. http://dx.doi.org/10.3390/agriculture12121986.

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In order to solve the problem of high fuel consumption and poor emission performance in high horsepower tractors, a parallel hybrid tractor system was designed using a dual power source of an engine and motor matched with a hydro-mechanical continuously variable transmission (HMCVT). An equivalent fuel consumption minimization strategy (ECMS) was used for power distribution of this hybrid system. To address the problem of poor adaptability of the equivalence factor to different working cycles in the conventional ECMS, a fuzzy adaptive equivalent fuel consumption minimization strategy (FA-ECMS) was proposed. A fuzzy PI controller based on battery SOC (State of Charge) feedback was designed to adjust the equivalence factor in real time, so as to achieve adaptive control of the equivalence factor. The physical model of the system was built by SimulationX, and the model of the control strategy was built using Matlab/Simulink. Two typical cycles of tractor plowing and road transportation were simulated. Under ECMS, the fuel consumption of the hybrid agricultural tractor was 14.3 L and 1.19 L in one plowing cycle and one transport cycle, respectively, with final battery SOC values of 60.75% and 60.32%, respectively. Under FA-ECMS, the hybrid farm tractor consumed 13.34 L and 1.13 L in one plowing cycle and one transport cycle, respectively, with final battery SOC values of 60.27% and 60.17%, respectively. The results showed that, with the introduction of a fuzzy PI controller to dynamically adjust the equivalence factor, the overall fuel consumption was reduced by 6.71% and 5.04%, respectively, and the battery power maintenance performance was improved. The designed control strategy could achieve a more reasonable power distribution between the engine and motor while maintaining the balance of the battery SOC.

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14

Kather, Vincent, Finn Lückoff, Christian O. Paschereit, and Kilian Oberleithner. "Interaction of equivalence ratio fluctuations and flow fluctuations in acoustically forced swirl flames." International Journal of Spray and Combustion Dynamics 13, no. 1-2 (June 2021): 72–95. http://dx.doi.org/10.1177/17568277211015544.

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The generation and turbulent transport of temporal equivalence ratio fluctuations in a swirl combustor are experimentally investigated and compared to a one-dimensional transport model. These fluctuations are generated by acoustic perturbations at the fuel injector and play a crucial role in the feedback loop leading to thermoacoustic instabilities. The focus of this investigation lies on the interplay between fuel fluctuations and coherent vortical structures that are both affected by the acoustic forcing. To this end, optical diagnostics are applied inside the mixing duct and in the combustion chamber, housing a turbulent swirl flame. The flame was acoustically perturbed to obtain phase-averaged spatially resolved flow and equivalence ratio fluctuations, which allow the determination of flux-based local and global mixing transfer functions. Measurements show that the mode-conversion model that predicts the generation of equivalence ratio fluctuations at the injector holds for linear acoustic forcing amplitudes, but it fails for non-linear amplitudes. The global (radially integrated) transport of fuel fluctuations from the injector to the flame is reasonably well approximated by a one-dimensional transport model with an effective diffusivity that accounts for turbulent diffusion and dispersion. This approach however, fails to recover critical details of the mixing transfer function, which is caused by non-local interaction of flow and fuel fluctuations. This effect becomes even more pronounced for non-linear forcing amplitudes where strong coherent fluctuations induce a non-trivial frequency dependence of the mixing process. The mechanisms resolved in this study suggest that non-local interference of fuel fluctuations and coherent flow fluctuations is significant for the transport of global equivalence ratio fluctuations at linear acoustic amplitudes and crucial for non-linear amplitudes. To improve future predictions and facilitate a satisfactory modelling, a non-local, two-dimensional approach is necessary.

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15

Ridley, Michael, and Riku Tuovinen. "Formal Equivalence Between Partitioned and Partition-Free Quenches in Quantum Transport." Journal of Low Temperature Physics 191, no. 5-6 (February 26, 2018): 380–92. http://dx.doi.org/10.1007/s10909-018-1880-9.

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16

Tlas, Tamer. "On the holonomic equivalence of two curves." International Journal of Mathematics 27, no. 06 (June 2016): 1650055. http://dx.doi.org/10.1142/s0129167x16500555.

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Given a principal [Formula: see text]-bundle [Formula: see text] and two [Formula: see text] curves in [Formula: see text] with coinciding endpoints, we say that the two curves are holonomically equivalent if the parallel transport along them is identical for any smooth connection on [Formula: see text]. The main result in this paper is that if [Formula: see text] is semi-simple, then the two curves are holonomically equivalent if and only if there is a thin, i.e. of rank at most one, [Formula: see text] homotopy linking them. Additionally, it is also demonstrated that this is equivalent to the factorizability through a tree of the loop formed from the two curves and to the reducibility of a certain transfinite word associated to this loop. The curves are not assumed to be regular.

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17

Pratelli, Aldo. "Equivalence between some definitions for the optimal mass transport problem and for the transport density on manifolds." Annali di Matematica Pura ed Applicata (1923 -) 184, no. 2 (June 2005): 215–38. http://dx.doi.org/10.1007/s10231-004-0109-5.

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18

Chen, Min, Rupert Abele, and Robert Tampé. "Functional Non-equivalence of ATP-binding Cassette Signature Motifs in the Transporter Associated with Antigen Processing (TAP)." Journal of Biological Chemistry 279, no. 44 (August 17, 2004): 46073–81. http://dx.doi.org/10.1074/jbc.m404042200.

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The transporter associated with antigen processing (TAP) is a key component of the cellular immune system. As a member of the ATP-binding cassette (ABC) superfamily, TAP hydrolyzes ATP to energize the transport of peptides from the cytosol into the lumen of the endoplasmic reticulum. TAP is composed of TAP1 and TAP2, each containing a transmembrane domain and a nucleotide-binding domain (NBD). Here we investigated the role of the ABC signature motif (C-loop) on the functional non-equivalence of the NBDs, which contain a canonical C-loop (LSGGQ) for TAP1 and a degenerate C-loop (LAAGQ) for TAP2. Mutation of the leucine or glycine (LSGGQ) in TAP1 fully abolished peptide transport. However, TAP complexes with equivalent mutations in TAP2 still showed residual peptide transport activity. To elucidate the origin of the asymmetry of the NBDs of TAP, we further examined TAP complexes with exchanged C-loops. Strikingly, the chimera with two canonical C-loops showed the highest transport rate whereas the chimera with two degenerate C-loops had the lowest transport rate, demonstrating that the ABC signature motifs control peptide transport efficiency. All single site mutants and chimeras showed similar activities in peptide or ATP binding, implying that these mutations affect the ATPase activity of TAP. In addition, these results prove that the serine of the C-loop is not essential for TAP function but rather coordinates, together with other residues of the C-loop, the ATP hydrolysis in both nucleotide-binding sites.

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19

Takasugi, Cole, Nicolas Martin, Vincent Labouré, Javier Ortensi, Kostadin Ivanov, and Maria Avramova. "Preservation of kinetics parameters generated by Monte Carlo calculations in two-step deterministic calculations." EPJ Nuclear Sciences & Technologies 9 (2023): 15. http://dx.doi.org/10.1051/epjn/2022056.

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The generation of accurate kinetic parameters such as mean generation time Λ and effective delayed neutron fraction βeff via Monte Carlo codes is established. Employing these in downstream deterministic codes warrants another step to ensure no additional error is introduced by the low-order transport operator when computing forward and adjoint fluxes for bilinear weighting of these parameters. Another complexity stems from applying superhomogenization (SPH) equivalence in non-fundamental mode approximations, where reference and low-order calculations rely on a 3D full core model. In these cases, SPH factors can optionally be computed for only part of the geometry while preserving reaction rates and K-effective, but the impact of such approximations on kinetics parameters has not been thoroughly studied. This paper aims at studying the preservation of bilinearly-weighted quantities in the Serpent–Griffin calculation procedure. Diffusion and transport evaluations of IPEN/MB-01, Godiva, and Flattop were carried out with the Griffin reactor physics code, testing available modeling options using Serpent-generated multigroup cross sections and equivalence data. Verifying Griffin against Serpent indicates sensitivities to multigroup energy grid selection and regional application of SPH equivalence, introducing significant errors; these were demonstrated to be reduced through the use of a transport method together with a finer energy grid.

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20

Nandakumar, A. N. "The Projected Relative Index of Consequence Equivalence of Transport of Radioactive Materials." International Journal of Radioactive Materials Transport 10, no. 2 (January 1999): 91–95. http://dx.doi.org/10.1179/rmt.1999.10.2.91.

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21

Montas, Hubert J., Adel Shirmohammadi, Kamyar Haghighi, and Bernie Engel. "Equivalence of bicontinuum and second-order transport in heterogeneous soils and aquifers." Water Resources Research 36, no. 12 (December 2000): 3427–46. http://dx.doi.org/10.1029/2000wr900251.

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22

Chiappori, Pierre-André, Robert J. McCann, and Lars P. Nesheim. "Hedonic price equilibria, stable matching, and optimal transport: equivalence, topology, and uniqueness." Economic Theory 42, no. 2 (May 23, 2009): 317–54. http://dx.doi.org/10.1007/s00199-009-0455-z.

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23

CHEN, LIAO-YUAN, and ZHAO-BIN SU. "EQUIVALENCE OF QUANTUM BOLTZMANN EQUATION AND KUBO FORMULA FOR dc CONDUCTIVITY." International Journal of Modern Physics B 04, no. 02 (February 1990): 293–315. http://dx.doi.org/10.1142/s0217979290000152.

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We present a derivation of the quantum Boltzmann equation for linear dc transport with a correction term to Mahan-Hansch's equations and derive a formal solution to it. Based on this formal solution, we find the electric conductivity can be expressed as the retarded current-current correlation. Therefore we explicitly demonstrate the equivalence of the two most important theoretical methods: quantum Boltzmann equation and Kubo formula.

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24

Khalmukhamedov, Aziz, and Akhmadjon Anvarjonov. "Specific features of improving automobile road complex of the Republic of Uzbekistan." E3S Web of Conferences 515 (2024): 01016. http://dx.doi.org/10.1051/e3sconf/202451501016.

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Automobile and Road Complex (ARC) is a complex technical and economic system, including means of transport (automobile transport) and communications (automobile roads), united by a single goal - to provide constant safe transport of goods and people with maximum efficiency. The term “ARC” [1, 2] more objectively reflects the essence of the efficient transport process carried out by vehicles on roads. It emphasises the equivalence of the contribution of vehicles and roads to a single transport process. The problem of the efficiency of the ARC function is not only of terminological significance, but also touches on the issues of improving the efficiency of the road and motorway economy as a whole.

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25

Lo, Chi-Jen (Roger), Mahesh K. Marina, Nishanth Sastry, Kai Xu, Saeed Fadaei, and Yong Li. "Shrinking VOD Traffic via Rényi-Entropic Optimal Transport." Proceedings of the ACM on Measurement and Analysis of Computing Systems 8, no. 1 (February 16, 2024): 1–34. http://dx.doi.org/10.1145/3639033.

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In response to the exponential surge in Internet Video on Demand (VOD) traffic, numerous research endeavors have concentrated on optimizing and enhancing infrastructure efficiency. In contrast, this paper explores whether users' demand patterns can be shaped to reduce the pressure on infrastructure. Our main idea is to design a mechanism that alters the distribution of user requests to another distribution which is much more cache-efficient, but still remains 'close enough' (in the sense of cost) to fulfil each individual user's preference. To quantify the cache footprint of VOD traffic, we propose a novel application of Rényi entropy as its proxy, capturing the 'richness' (the number of distinct videos or cache size) and the 'evenness' (the relative popularity of video accesses) of the on-demand video distribution. We then demonstrate how to decrease this metric by formulating a problem drawing on the mathematical theory of optimal transport (OT). Additionally, we establish a key equivalence theorem: minimizing Rényi entropy corresponds to maximizing soft cache hit ratio (SCHR) --- a variant of cache hit ratio allowing similarity-based video substitutions. Evaluation on a real-world, city-scale video viewing dataset reveals a remarkable 83% reduction in cache size (associated with VOD caching traffic). Crucially, in alignment with the above-mentioned equivalence theorem, our approach yields a significant uplift to SCHR, achieving close to 100%.

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26

Bluemner, Richard, Christian O. Paschereit, and Kilian Oberleithner. "Generation and transport of equivalence ratio fluctuations in an acoustically forced swirl burner." Combustion and Flame 209 (November 2019): 99–116. http://dx.doi.org/10.1016/j.combustflame.2019.07.007.

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27

McDowall, Stephen, Plamen Stefanov, and Alexandru Tamasan. "Gauge equivalence in stationary radiative transport through media with varying index of refraction." Inverse Problems & Imaging 4, no. 1 (2010): 151–67. http://dx.doi.org/10.3934/ipi.2010.4.151.

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28

Yíldíz, C. "Critical parameters and decay constants for one-speed neutrons in slabs and spheres with anisotropic scattering." Kerntechnik 66, no. 5-6 (October 1, 2001): 279–84. http://dx.doi.org/10.1515/kern-2001-0107.

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Abstract Time-dependent, one-speed neutron transport equations with strong forward and backward scattering together with isotropic scattering are studied in homogeneous slabs and spheres. First, a simple formal equivalence between the transport equations for a critical and for a time-decaying system is established. Then, the transport equation is converted into a more conventional one. The FN method of solving the resulting transport equation is applied to the calculation of the critical parameters and decay constants for the fundamental mode of the flux distribution and one-speed neutrons in spheres and infinite slabs. Numerical results are given for a number of significant figures and compared with those already available in the literature.

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29

Xu, Yuchao, Jason Hou, and Kostadin Ivanov. "Methodology for Discontinuity Factors Generation for Simplified P3 Solver Based on Nodal Expansion Formulation." Energies 14, no. 20 (October 10, 2021): 6478. http://dx.doi.org/10.3390/en14206478.

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The Simplified Spherical Harmonic (SPN) approximation was first introduced as a three-dimensional (3D) extension of the plane-geometry Spherical Harmonic (PN) equations. A third order SPN (SP3) solver, recently implemented in the Nodal Expansion Method (NEM), has shown promising performance in the reactor core neutronics simulations. This work is focused on the development and implementation of the transport-corrected interface and boundary conditions in an NEM SP3 solver, following recent published work on the rigorous SPN theory for piecewise homogeneous regions. A streamlined procedure has been developed to generate the flux zero and second order/moment discontinuity factors (DFs) of the generalized equivalence theory to minimize the error introduced by pin-wise homogenization. Moreover, several colorset models with varying sizes and configurations are later explored for their capability of generating DFs that can produce results equivalent to that using the whole-core homogenization model for more practical implementations. The new developments are tested and demonstrated on the C5G7 benchmark. The results show that the transport-corrected SP3 solver shows general improvements to power distribution prediction compared to the basic SP3 solver with no DFs or with only the zeroth moment DF. The complete equivalent calculations using the DFs can almost reproduce transport solutions with high accuracy. The use of equivalent parameters from larger size colorset models show a slightly reduced prediction error than that using smaller colorset models in the whole-core calculations.

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30

Rapaport, Alain, Alejandro Rojas-Palma, Jean-Raynald de Dreuzy, and Hector C. Ramirez. "Equivalence of Finite Dimensional Input–Output Models of Solute Transport and Diffusion in Geosciences." IEEE Transactions on Automatic Control 62, no. 10 (October 2017): 5470–77. http://dx.doi.org/10.1109/tac.2017.2701150.

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31

Fletcher, W. K., and C. H. Loh. "Transport equivalence of cassiterite and its application to stream sediment surveys for heavy minerals." Journal of Geochemical Exploration 56, no. 1 (June 1996): 47–57. http://dx.doi.org/10.1016/0375-6742(95)00049-6.

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32

Rumpf, Helmut. "On the Equivalence of Electromagnetic and Gock-Transport Synchronization in Noninertial Frames and Gravitational Fields." Zeitschrift für Naturforschung A 40, no. 1 (January 1, 1985): 92–95. http://dx.doi.org/10.1515/zna-1985-0116.

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Synchronization by slow clock transport is shown to be equivalent to that by electromagnetic signals for clocks moving along the trajectories of a timelike Killing vector field, provided the gravitational redshift is corrected for and the synchronization paths are the same.

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33

Larin, O. N. "Structural and Content Characteristic of the Object of Combined Transport." World of Transport and Transportation 19, no. 2 (November 13, 2021): 84–92. http://dx.doi.org/10.30932/1992-3252-2021-19-2-12.

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The article presents the results of a comparative analysis of equivalence of structural and content characteristics of individual terms used in combined transport contained in various official regulatory documents. Differences in definitions of individual terms in that subject area often impede effective integration of transport systems at interregional or international level. This study focuses on the analysis of characteristics of structural components of the objects of combined transport, which are contained in definitions of this term in a number of international agreements, national regulations and interstate standards. The results of the study have allowed to formulate proposals aimed at unification of structural and content characteristics of the object of the combined transport as well as recommendations for improving certain regulatory documents.

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34

Diaz, Adrian, Denis Davydov, and Youping Chen. "On the equivalence of the two foundational formulations for atomistic flux in inhomogeneous transport processes." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 475, no. 2223 (March 2019): 20180688. http://dx.doi.org/10.1098/rspa.2018.0688.

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Although there are numerous formulae for atomic-level fluxes, they are expressed either in terms of a singlet density, resulting from Irving and Kirkwood's statistical mechanics formulation of hydrodynamical equations, or a pair density, proposed in kinetic theories of transport processes. Flux formulae using singlet density have been further developed and widely implemented in molecular dynamics (MD) simulations by either replacing the Dirac delta with a volumetric averaging function or performing a surface average of the flux operators. Pair density-based flux formulae have also been further developed by using spatial-averaging kernels; these formulae, however, have rarely been implemented or used in modern MD. In this work, distributional calculus is used to reformulate the fluxes in momentum and energy transport processes. The formulation results demonstrate that these two types of existing flux formulae are mathematically equivalent when expressed with the Dirac delta. The lasting confusion regarding these two different types of flux formulae from two different formalisms is thus resolved.

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35

Xing, D. Y., and M. Liu. "NONEQUILIBRIUM STATISTICAL OPERATOR IN HOT-ELECTRON TRANSPORT THEORY." International Journal of Modern Physics B 06, no. 07 (April 10, 1992): 1037–57. http://dx.doi.org/10.1142/s0217979292000542.

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The Nonequilibrium Statistical Operator method developed by Zubarev is generalized and applied to the study of hot-electron transport in semiconductors. The steady-state balance equations for momentum and energy are derived to the lowest order in the electron-lattice coupling. We show that the derived balance equations are exactly the same as those obtained by Lei and Ting. This equivalence stems from the fact that to the linear order in the electron-lattice coupling, two statistical density matrices have identical effect when they are used to calculate the average value of a dynamical operator. The application to the steady-state and transient hot-electron transport in multivalley semiconductors is also discussed.

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36

Gazizov, R. K., A. A. Kasatkin, and S. Yu Lukashchuk. "Symmetry properties of fractional order transport equations." Proceedings of the Mavlyutov Institute of Mechanics 9, no. 1 (2012): 59–64. http://dx.doi.org/10.21662/uim2012.1.010.

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In the paper some features of applying Lie group analysis methods to fractional differential equations are considered. The problem related to point change of variables in the fractional differentiation operator is discussed and some general form of transformation that conserves the form of Riemann-Liouville fractional operator is obtained. The prolongation formula for extending an infinitesimal operator of a group to fractional derivative with respect to arbitrary function is presented. Provided simple example illustrates the necessity of considering both local and non-local symmetries for fractional differential equations in particular cases including the initial conditions. The equivalence transformation forms for some fractional differential equations are discussed and results of group classification of the wave-diffusion equation are presented. Some examples of constructing particular exact solutions of fractional transport equation are given, based on the Lie group methods and the method of invariant subspaces.

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37

Pudlak, Mihal, Jan Smotlacha, and Rashid Nazmitdinov. "On Symmetry Properties of The Corrugated Graphene System." Symmetry 12, no. 4 (April 3, 2020): 533. http://dx.doi.org/10.3390/sym12040533.

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The properties of the ballistic electron transport through a corrugated graphene system are analysed from the symmetry point of view. The corrugated system is modelled by a curved surface (an arc of a circle) connected from both sides to flat sheets. The spin–orbit couplings, induced by the curvature, give rise to equivalence between the transmission (reflection) probabilities of the transmitted (reflected) electrons with the opposite spin polarisation, incoming from opposite system sides. We find two integrals of motion that explain the chiral electron transport in the considered system.

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38

Bostick, David L., and Charles L. Brooks. "On the Equivalence Point for Ammonium (De)protonation during Its Transport through the AmtB Channel." Biophysical Journal 92, no. 12 (June 2007): L103—L105. http://dx.doi.org/10.1529/biophysj.107.109165.

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39

Marchetti, M. C., and W. Cai. "Equivalence of Lei and Ting balance equations for nonlinear electronic transport and a Boltzmann approach." Physical Review B 36, no. 15 (November 15, 1987): 8159–61. http://dx.doi.org/10.1103/physrevb.36.8159.

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40

Davit, Yohan, Michel Quintard, and Gérald Debenest. "Equivalence between volume averaging and moments matching techniques for mass transport models in porous media." International Journal of Heat and Mass Transfer 53, no. 21-22 (October 2010): 4985–93. http://dx.doi.org/10.1016/j.ijheatmasstransfer.2010.05.032.

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41

Osipov, Dmitriy N., and Sergey A. Yuskin. "A technique for equivalence assessment of operational loads reproduction while heavy transport helicopter bench tests." Vestnik Moskovskogo aviatsionnogo instituta 29, no. 4 (2022): 116–24. http://dx.doi.org/10.34759/vst-2022-4-116-124.

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42

Wang, Liping, and Feng-Fei Jin. "Boundary output feedback stabilization of transport equation with non-local term." IMA Journal of Mathematical Control and Information 37, no. 3 (September 5, 2019): 752–64. http://dx.doi.org/10.1093/imamci/dnz022.

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Abstract In this paper, we are concerned with boundary output feedback stabilization of a transport equation with non-local term. First, a boundary state feedback controller is designed by a backstepping approach. The closed-loop system is proved to be exponentially stable by the equivalence between original and target system. Then, we design an output feedback controller based on an infinite-dimensional observer. It is shown that the result closed-loop system is also exponentially stable. Finally, some numerical examples are presented to illustrate the effectiveness of the proposed feedback controller.

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43

Schenkel, Alexander. "Module parallel transports in fuzzy gauge theory." International Journal of Geometric Methods in Modern Physics 11, no. 03 (March 2014): 1450021. http://dx.doi.org/10.1142/s0219887814500212.

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In this paper, we define and investigate a notion of parallel transport on finite projective modules over finite matrix algebras. Given a derivation-based differential calculus on the algebra and a connection on the module, we construct for every derivation X a module parallel transport, which is a lift to the module of the one-parameter group of algebra automorphisms generated by X. This parallel transport morphism is determined uniquely by an ordinary differential equation depending on the covariant derivative along X. Based on these parallel transport morphisms, we define a basic set of gauge invariant observables, i.e. functions from the space of connections to the complex numbers. For modules equipped with a Hermitian structure, we prove that this set of observables is separating on the space of gauge equivalence classes of Hermitian connections. This solves the gauge copy problem for fuzzy gauge theories.

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44

Volkov, Boris O. "Lévy differential operators and Gauge invariant equations for Dirac and Higgs fields." Infinite Dimensional Analysis, Quantum Probability and Related Topics 22, no. 01 (March 2019): 1950001. http://dx.doi.org/10.1142/s0219025719500012.

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We study the Lévy infinite-dimensional differential operators (differential operators defined by the analogy with the Lévy Laplacian) and their relationship to the Yang–Mills equations. We consider the parallel transport on the space of curves as an infinite-dimensional analogue of chiral fields and show that it is a solution to the system of differential equations if and only if the associated connection is a solution to the Yang–Mills equations. This system is an analogue of the equations of motion of chiral fields and contains the Lévy divergence. The systems of infinite-dimensional equations containing Lévy differential operators, that are equivalent to the Yang–Mills–Higgs equations and the Yang–Mills–Dirac equations (the equations of quantum chromodynamics), are obtained. The equivalence of two ways to define Lévy differential operators is shown.

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45

Wassmer, Dominik, Bruno Schuermans, Christian Oliver Paschereit, and Jonas P. Moeck. "Measurement and modeling of the generation and the transport of entropy waves in a model gas turbine combustor." International Journal of Spray and Combustion Dynamics 9, no. 4 (April 24, 2017): 299–309. http://dx.doi.org/10.1177/1756827717696326.

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Indirect combustion noise is caused by entropy spots that are accelerated at the first turbine stage. These so-called entropy waves originate from the equivalence ratio fluctuations in the air–fuel mixture upstream of the flame. As entropy waves propagate convectively through the combustion chamber, they are subject to diffusion and dispersion. Because of the inherent difficulty of accurately measuring the burned gas temperature with sufficient temporal resolution, experimental data of entropy waves are scarce. In this work, the transfer function between equivalence ratio fluctuations and entropy fluctuations is modeled by a linearized reactor model, and the transport of entropy waves is investigated based on a convection-diffusion model. Temperature fluctuations are measured by means of a novel measurement technique at different axial positions downstream of the premixed flame, which is forced by periodic fuel injection. Experiments with various flow velocities and excitation frequencies enable model validation over a wide range of parameters.

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46

Marynowski, Krzysztof. "Vibration analysis of an axially moving multiscale composite plate subjected to thermal loading." MATEC Web of Conferences 148 (2018): 06003. http://dx.doi.org/10.1051/matecconf/201814806003.

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This study investigated the effects of temperature on free vibrations and critical transport speeds of an axially moving multiscale composite plate. On the basis of the frequency-temperature equivalence principle, a linear mathematical model of the moving multiscale composite plate is derived in the complex frequency domain. Fractional standard rheological model of the plate material as the function of reduced frequency depended on the temperature is determined. In numerical investigations carbon nanotubes- and graphene-reinforced copper plate was taken into account.. To describe thermomechanical properties of the plate material, the investigation results obtained from the molecular dynamics studies and the experimental characteristic of beryllium copper in low temperatures presented in literature is taken into account.. The effects of temperature, transport speed, and internal damping on natural frequencies and critical transport speed are analyzed. The critical transport speeds of the graphene-reinforced multiscale composite are higher than both carbon nanotubes-reinforced composite as well as the comparable copper alloy.

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47

Buonocore, Salvatore, Mihir Sen, and Fabio Semperlotti. "Stochastic scattering model of anomalous diffusion in arrays of steady vortices." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476, no. 2238 (June 2020): 20200183. http://dx.doi.org/10.1098/rspa.2020.0183.

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We investigate the occurrence of anomalous transport phenomena associated with tracer particles propagating through arrays of steady vortices. The mechanism responsible for the occurrence of anomalous transport is identified in the particle dynamic, which is characterized by long collision-less trajectories (Lévy flights) interrupted by chaotic interactions with vortices. The process is studied via stochastic molecular models that are able to capture the underlying non-local nature of the transport mechanism. These models, however, are not well suited for problems where computational efficiency is an enabling factor. We show that fractional-order continuum models provide an excellent alternative that is able to capture the non-local nature of anomalous transport processes in turbulent environments. The equivalence between stochastic molecular and fractional continuum models is demonstrated both theoretically and numerically. In particular, the onset and the temporal evolution of heavy-tailed diffused fields are shown to be accurately captured, from a macroscopic perspective, by a fractional diffusion equation. The resulting anomalous transport mechanism, for the selected ranges of density of the vortices, shows a superdiffusive nature.

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Giudicelli, Guillaume, Kord Smith, and Benoit Forget. "Generalized Equivalence Theory Used with Spatially Linear Sources in the Method of Characteristics for Neutron Transport." Nuclear Science and Engineering 194, no. 11 (May 28, 2020): 1044–55. http://dx.doi.org/10.1080/00295639.2020.1765606.

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Rahnema, Farzad, and Piero Ravetto. "On the Equivalence of Boundary and Boundary Condition Perturbations in Transport Theory and Its Diffusion Approximation." Nuclear Science and Engineering 128, no. 2 (February 1998): 209–23. http://dx.doi.org/10.13182/nse98-a1952.

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50

Boumrar, Hocine, Mahdi Hamidi, Hand Zenia, and Samir Lounis. "Equivalence of wave function matching and Green’s functions methods for quantum transport: generalized Fisher–Lee relation." Journal of Physics: Condensed Matter 32, no. 35 (June 10, 2020): 355302. http://dx.doi.org/10.1088/1361-648x/ab88f5.

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