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Journal articles on the topic 'Maxwell relations'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

Ichimura, Hideo. "Maxwell equations and constitutive relations." Reports on Mathematical Physics 28, no. 3 (1989): 317–33. http://dx.doi.org/10.1016/0034-4877(89)90065-7.

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2

Igor, A. Stepanov. "Maxwell Relations for Substances with Negative Thermal Expansion and Negative Compressibility." Physical Science International Journal 14, no. 4 (2017): 1–6. https://doi.org/10.9734/PSIJ/2017/33660.

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It is shown that taking into account the negative compressibility of substances changes Maxwell relations. The earlier results of the author indicating that these relations differ for substances with negative thermal expansion have received additional confirmation. Universal Maxwell relations have been derived. The results obtained have been confirmed experimentally by a number of authors.

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3

Mohammed, Ezzeldin Elhibir* Mubarak Dirar Abdallah Sawsan Ahmed Elhouri Ahmed &. Ahmed Elhassen Alfaki. "THE ROLE OF GENERALIZED MAXWELL STATISTICAL EQUATION IN DESCRIBING PHOTON AND NEUTRON INTENSITY RELATIONS." INTERNATIONAL JOURNAL OF ENGINEERING SCIENCES & RESEARCH TECHNOLOGY 6, no. 9 (2017): 561–71. https://doi.org/10.5281/zenodo.995993.

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Generalized Maxwell distribution law is used to explain some empirical relations concerning neutron scattering. These relations are concerned with the neutron and photon scattered fluxes in relation with wave lengths, flux path and energy. The relations are also concerned with the relation of mean free path with atomic number beside relation between fusion probabilities with neutrons fluxes. All these empirical relations are explained on the basis of generalized Maxwell distribution adequately.

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4

Bansal, Malti, Nishu Chaudhary, and Nipun Malik. "Maxwell Bridge: Past & Present." December 2020 2, no. 4 (2020): 197–201. http://dx.doi.org/10.36548/jei.2020.4.001.

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In this research paper, we report the details about the Maxwell Bridge including the history of the same, which contains the discoverer, when discovered, initial structure, amendments (modification in the Maxwell Bridge), from where the idea came and mathematical relations for the Maxwell Bridge.

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5

Monroe, Charles W., and John Newman. "Onsager Reciprocal Relations for Stefan−Maxwell Diffusion." Industrial & Engineering Chemistry Research 45, no. 15 (2006): 5361–67. http://dx.doi.org/10.1021/ie051061e.

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6

Lakhtakia, Akhlesh. "Linear constitutive relations for beltrami – maxwell postulates." Microwave and Optical Technology Letters 7, no. 12 (1994): 580–81. http://dx.doi.org/10.1002/mop.4650071215.

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7

Zadehgol, Abed, and Mahmud Ashrafizaadeh. "On the entropy variations and the Maxwell relations." International Journal of Modern Physics C 28, no. 01 (2017): 1750009. http://dx.doi.org/10.1142/s0129183117500097.

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In the present work, it is shown that the Maxwell relations can effectively be used to partially verify the thermodynamic consistency of the entropic lattice kinetic models. As an example, we consider the Constant Speed Kinetic Model (CSKM) which has recently been introduced in [J. Comp. Phys. 274, 803 (2014); Phys Rev. E 91, 063311 (2015)] and show that, for the quasi-equilibrium flows and at low Mach numbers, the entropy variations are proportional to the pressure variations. The entropy variations of the CSKM are logarithmic (given by the Burg entropy) while the pressure variations obey a n

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8

Weberszpil, José, and Wen Chen. "Generalized Maxwell Relations in Thermodynamics with Metric Derivatives." Entropy 19, no. 8 (2017): 407. http://dx.doi.org/10.3390/e19080407.

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9

Chanyal, B. C. "Linearized electromagnetic and gravito-Heavisidian chirality in split octonion space-time." International Journal of Geometric Methods in Modern Physics 15, no. 07 (2018): 1850109. http://dx.doi.org/10.1142/s0219887818501098.

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In this paper, we construct a split octonionic mathematical approach to generalized electromagnetic and gravito-Heavisidian chirality of dyons by modification of the Drude–Born–Fedorov constitutive relations. In this context, we describe dual Euclidean space-times structure associated with [Formula: see text] Zorn’s vector matrix realization of split octonion. As such, using the Zorn’s vector matrix realization, an alternative form of generalized Proca–Maxwell equations of massive dyons is obtained in chiral media. It is well known that in weak unified gravito-Heavisidian field, the Einstein’s

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10

Coatsworth, John, Albert Fishlow, Robert Kaufman, et al. "Kenneth Maxwell." Foreign Affairs 83, no. 5 (2004): 187. http://dx.doi.org/10.2307/20034128.

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11

Zhao, Shi Hua. "The Diversities and Unities of Thermodynamic Function Expressions for Simple Systems." Advanced Materials Research 468-471 (February 2012): 2728–31. http://dx.doi.org/10.4028/www.scientific.net/amr.468-471.2728.

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For the thermodynamic functions of simple systems, the expressions of different state parameters are proposed, and the equivalence relations between the different expressions are validated, which shows the diversities and unities of the thermodynamic function expressions. A memory approach of the Maxwell equations are also introduced, which is quicker and more accurate to write out the Maxwell equations, than to use any auxiliary figures.

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12

Rodrigues, Waldyr A. "The relation between Maxwell, Dirac, and the Seiberg-Witten equations." International Journal of Mathematics and Mathematical Sciences 2003, no. 43 (2003): 2707–34. http://dx.doi.org/10.1155/s0161171203210218.

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We discuss unsuspected relations between Maxwell, Dirac, and the Seiberg-Witten equations. First, we present the Maxwell-Dirac equivalence (MDE) of the first kind. Crucial to that proposed equivalence is the possibility of solving for ψ (a representative on a given spinorial frame of a Dirac-Hestenes spinor field) the equation F=ψγ21ψ˜, where F is a given electromagnetic field. Such task is presented and it permits to clarify some objections to the MDE which claim that no MDE may exist because F has six (real) degrees of freedom and ψ has eight (real) degrees of freedom. Also, we review the ge

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13

А.А., Khazanov, Goncharov Y.N., and Silin N.V. "TO THE QUESTION OF UNIVERSALITY OF MAXWELL'S EQUATIONS." ИННОВАЦИОННЫЕ НАУЧНЫЕ ИССЛЕДОВАНИЯ 2022. 11-3(23) (December 4, 2022): 61–70. https://doi.org/10.5281/zenodo.7395939.

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The article deals with issues related to the 150th anniversary of the publication of a treatise on electricity and magnetism by Maxwell. A brief description of this outstanding work and the opinions of contemporaries are given. Particular attention is paid to the universality of Maxwell's equations. The views of scientists aimed at expanding the physical understanding of energy processes, the analogy of gravitational and electromagnetic fields, the possibility of deriving the relations of the special theory of relativity from Maxwell's equations are discussed. An estimate of the change

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14

Galkin, V. S. "Stefan-Maxwell Relations in Nonequilibrium Polyatomic Reacting Gas Mixtures." Fluid Dynamics 32, no. 6 (1997): 892–94. http://dx.doi.org/10.1007/bf03374547.

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15

Pérez, Yudier Peña, Ricardo Abreu Blaya, Paul Bosch, and Juan Bory Reyes. "Dirichlet Type Problem for 2D Quaternionic Time-Harmonic Maxwell System in Fractal Domains." Advances in Mathematical Physics 2020 (January 31, 2020): 1–8. http://dx.doi.org/10.1155/2020/4735357.

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We investigate an electromagnetic Dirichlet type problem for the 2D quaternionic time-harmonic Maxwell system over a great generality of fractal closed type curves, which bound Jordan domains in R2. The study deals with a novel approach of h-summability condition for the curves, which would be extremely irregular and deserve to be considered fractals. Our technique of proofs is based on the intimate relations between solutions of time-harmonic Maxwell system and those of the Dirac equation through some nonlinear equations, when both cases are reformulated in quaternionic forms.

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16

Shanbhag, Sachin, and Yogesh M. Joshi. "Kramers–Kronig relations for nonlinear rheology. Part II: Validation of medium amplitude oscillatory shear (MAOS) measurements." Journal of Rheology 66, no. 5 (2022): 925–36. http://dx.doi.org/10.1122/8.0000481.

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The frequency dependence of third-harmonic medium amplitude oscillatory shear (MAOS) modulus [Formula: see text] provides insight into material behavior and microstructure in the asymptotically nonlinear regime. Motivated by the difficulty in the measurement of MAOS moduli, we propose a test for data validation based on nonlinear Kramers–Kronig relations. We extend the approach used to assess the consistency of linear viscoelastic data by expressing the real and imaginary parts of [Formula: see text] as a linear combination of Maxwell elements: the functional form for the MAOS kernels is inspi

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17

Tuttle, E. R. "A Simple Method for Presenting Thermodynamic Partial Derivatives to Undergraduates." International Journal of Mechanical Engineering Education 25, no. 2 (1997): 137–46. http://dx.doi.org/10.1177/030641909702500206.

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A method for teaching Maxwell relations and other transformations of partial derivatives which appear frequently in thermodynamics is presented. It has been found to be successful in the presentation of this material to undergraduate engineering students.

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18

Wang, J., D. Wang, and H. Zhao. "Stamping coal cake simulation with Duncan–Kelvin–Maxwell constitutive relations." Ironmaking & Steelmaking 41, no. 10 (2014): 769–75. http://dx.doi.org/10.1179/1743281214y.0000000198.

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19

Giusti, Andrea. "Dispersion relations for the time-fractional Cattaneo-Maxwell heat equation." Journal of Mathematical Physics 59, no. 1 (2018): 013506. http://dx.doi.org/10.1063/1.5001555.

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20

Ambegaokar, Vinay, and N. David Mermin. "Question #78. A question about the Maxwell relations in thermodynamics." American Journal of Physics 69, no. 4 (2001): 405. http://dx.doi.org/10.1119/1.1352718.

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21

Kostrobij, P., B. Markovych, O. Viznovych, I. Zelinska, and M. Tokarchuk. "Generalized Cattaneo–Maxwell diffusion equation with fractional derivatives. Dispersion relations." Mathematical Modeling and Computing 6, no. 1 (2019): 58–68. http://dx.doi.org/10.23939/mmc2019.01.058.

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22

Kim, Younghun, and Rengaraj Selvaraj. "An Improved Mnemonic Device for Thermodynamic Relations." Sultan Qaboos University Journal for Science [SQUJS] 21, no. 2 (2016): 102. http://dx.doi.org/10.24200/squjs.vol21iss2pp102-106.

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An improved mnemonic device for thermodynamic relations between state variables and potentials was proposed in the form of a thermodynamic circle. Based on separating the Born square into an inner square (T, P, V, and S) and an outer circle (G, A, U, and H), relations such as Legendre transforms, Maxwell equations, equations to compute variables, and differential equations for thermodynamic variables can be recalled easily. The thermodynamic circle has a cross-arrow at its center and can be used to intuitively determine the sign of all thermodynamic relations.

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23

XU, WEI, LIU ZHAO, and BIN ZHU. "FIVE-DIMENSIONAL VACUUM EINSTEIN SPACETIMES IN C-METRIC LIKE COORDINATES." Modern Physics Letters A 25, no. 32 (2010): 2727–43. http://dx.doi.org/10.1142/s0217732310033967.

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A five-dimensional Einstein spacetime with (non)vanishing cosmological constant is analyzed in detail. The metric is in close analogy with the four-dimensional massless uncharged C-metric in many aspects. The coordinate system, horizons and causal structures, relations to standard form of de Sitter, anti de Sitter and Minkowski vacua are investigated. After a boost and Kaluza–Klein reduction, we get an exact solution of four-dimensional Einstein–Maxwell–Liouville theory which reduces to a solution to Einstein–Liouville theory in the limit of zero boost velocity and to that of Einstein–Maxwell–

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24

Belich, H., M. A. Santos, and M. T. D. Orlando. "The gauge sector of the SME with Lorentz-symmetry violation by symplectic projector method." Modern Physics Letters A 30, no. 35 (2015): 1550191. http://dx.doi.org/10.1142/s0217732315501916.

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We propose to analyze a modified electromagnetism inspired from the gauge sector of the Standard Model extension (SME). From the point of view of a canonical formulation, we carried out the usual analysis on the constraints structure of the odd sector (Carroll–Field–Jackiw term) and a Maxwell term with an effective metric. This effective metric is obtained by a vectorial decomposition of the CPT-even term, that is absorbed in the ordinary Maxwell term. Using symplectic projector method (SPM), we obtain the dispersions relations and we have verified conditions of stability to determine the vali

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25

ATHANASIADIS, C. E., E. S. ATHANASIADOU, and S. DIMITROULA. "RECIPROCITY RELATIONS FOR A CONDUCTIVE SCATTERER WITH A CHIRAL CORE IN QUASI-STATIC FORM." ANZIAM Journal 60, no. 1 (2018): 86–94. http://dx.doi.org/10.1017/s144618111800007x.

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We analyse a scattering problem of electromagnetic waves by a bounded chiral conductive obstacle, which is surrounded by a dielectric, via the quasi-stationary approximation for the Maxwell equations. We prove the reciprocity relations for incident plane and spherical electric waves upon the scatterer. Mixed reciprocity relations have also been proved for a plane wave and a spherical wave. In the case of spherical waves, the point sources are located either inside or outside the scatterer. These relations are used to study the inverse scattering problems.

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26

Petrova, Ludmila. "Nonidentical relations of skew-symmetric forms: Generation of closed exterior forms. Discrete transitions. Connection between field-theory equations and nonidentical relations." International Journal of Advanced Mathematical Sciences 4, no. 2 (2016): 30. http://dx.doi.org/10.14419/ijams.v4i2.6635.

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Nonidentical relations of skew-symmetric differential forms, which basis are non-integrable deforming manifolds follow from differential equations. From nonidentical relations closed exterior forms are obtained. The process of obtaining closed exterior forms describes the discrete transitions and the emergence of structures and observable formations such as waves, vertices, and turbulent pulsations. It is shown that the field theory equations (by Schroedinger, Maxwell, Einstein and others) turns to be nonidentical relations, obtained from the mathematical physics equations for material media s

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27

Smith, Michael Joseph. "American Realism and the New Global Realities." Ethics & International Affairs 6 (March 1992): 179–88. http://dx.doi.org/10.1111/j.1747-7093.1992.tb00549.x.

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The three books reviewed in this essay, Morality Among Nations: An Evolutionary View (Mary Maxwell), Righteous Realists: Political Realism, Responsible Power, and American Culture in the Nuclear Age (Joel H. Rosenthal), and Securing Europe (Richard H. Ullman), in some sense represent a reaction to Reagan's ideological policies. Maxwell's book appeals to the sociobiological nature of international morality. Rosenthal's book invites the reader to consider the valid view of the realist model as a venue toward integration of morals with decision making in international relations. Ullman's main pre

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28

Natarajan, K. "Graphical Summaries for Maxwell Relations of Closed and Open Thermodynamic Systems." International Journal of Mechanical Engineering Education 42, no. 1 (2014): 1–17. http://dx.doi.org/10.7227/ijmee.42.1.1.

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29

Stepanov, Igor. "Maxwell Relations for Substances with Negative Thermal Expansion and Negative Compressibility." Physical Science International Journal 14, no. 4 (2017): 1–6. http://dx.doi.org/10.9734/psij/2017/33660.

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30

Daivis, P. J., and D. Jou. "Thermodynamic considerations on thermostats and Maxwell relations in steady sheared fluids." Continuum Mechanics and Thermodynamics 24, no. 1 (2011): 37–48. http://dx.doi.org/10.1007/s00161-011-0207-8.

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31

Neves, Mario J., Lucas Labre, L. S. Miranda, and Everton M. C. Abreu. "Classical electrodynamics and gauge symmetry of the X-boson." International Journal of Modern Physics A 33, no. 25 (2018): 1850148. http://dx.doi.org/10.1142/s0217751x18501488.

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The classical electrodynamics for X-boson model is studied to understand it propagation in the space–time. The Maxwell equations of model and the correspondents wave equations are obtained. It indicate the dispersion relations of a massive and massless particle, that we interpret as photon and the X-boson. Thereby, a full diagonalization of the model is introduced to get a Maxwell sector summed up to Proca sector. Posteriorly, the X-fields and X-potentials of a relativistically moving charge is obtained in terms of a time-proper integral, and as an example, we calculate the fields and potentia

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32

Boregowda, Satish C., and Waldemar Karwowski. "Modeling of human physiological stresses: A thermodynamics-based approach." Occupational Ergonomics 5, no. 4 (2006): 235–48. http://dx.doi.org/10.3233/oer-2005-5404.

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This paper discusses thermodynamic basis for quantifying human physiological stresses. The deterministic nature of the second law of thermodynamics (entropy approach) and classical Maxwell relations were used to develop formulas to quantify human stress due to the artifact-human interactions. The illustrative examples establishing the validity of the proposed stress indices were presented.

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33

Gutman, E. "Applicability of Gibbs adsorption equation and Maxwell relations to deformed solid surfaces." World Journal of Engineering 10, no. 4 (2013): 313–28. http://dx.doi.org/10.1260/1708-5284.10.4.313.

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Revisiting derivations of Gibbs adsorption equation show its applicability to solid surfaces without limiting requirement of constant state of strain. Some attempts to use such a restriction to prove the correctness of the Shuttleworth equation have failed. Also, we have shown that the mandatory conditions for the Maxwell's relations make its inapplicable for the description of capillary and electrocapillary phenomena on solid surfaces, as they lead, if used correctly, to trivial results - known Gibbs adsorbtion equation and Lippmann electrocapillary equation. Attempts to use Maxwell's relatio

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34

MacDonald, R. St J. "Maxwell Cohen at Eighty: International Lawyer, Educator, and Judge." Canadian Yearbook of international Law/Annuaire canadien de droit international 27 (1989): 3–56. http://dx.doi.org/10.1017/s0069005800003763.

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SommaireDepuis plus d'un demi-siècle, Maxwell Cohen figure parmi les plus brillants membres de la communauté des juristes internationaux au Canada. Cette description de sa vie et de son œuvre nous place dans le contexte de la société canadienne du vingtième siècle et fait état de son rôle d'éducateur, de savant, de practicien, co-président de la Commission mixte internationale et juge ad hoc à la Cour internationale de justice. Le présent article décrit également l’importance de son rôle de commentateur des relations canado-américaines.

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35

Korelstein, Leonid. "Hydraulic networks with pressure-dependent closure relations, under restrictions on the value of nodal pressures. Maxwell matrix properties and monotonicity of flow distribution problem solution." E3S Web of Conferences 102 (2019): 01005. http://dx.doi.org/10.1051/e3sconf/201910201005.

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In the article, which continues the research of article [1], the results of previous article are generalized to “abstract” hydraulic networks. Additional existence theorems are proved for classical flow distribution problem (CFDP) for hydraulic networks with pressure-dependent closure relations, under restriction on nodal pressures. Hydraulic network Maxwell matrix properties are establish, related to monotonicity of CFDP solution.

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36

BURM, K. T. A. L. "The electronic identity of inductive and capacitive plasmas." Journal of Plasma Physics 74, no. 2 (2008): 155–61. http://dx.doi.org/10.1017/s0022377807006654.

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AbstractAn electronic identity relation, relating capacitively coupled plasma sources to corresponding inductively coupled plasma sources, has been derived, starting from the Maxwell relations for matter and the characteristics of a capacitor and of an inductor. Furthermore, the breakdown conditions for both capacitively coupled plasmas and for inductively coupled plasmas as well as their optimal operation frequency ranges are discussed.

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37

Gao, Liping, and Shouhui Zhai. "Modified Splitting FDTD Methods for Two-Dimensional Maxwell’s Equations." Mathematical Problems in Engineering 2017 (2017): 1–11. http://dx.doi.org/10.1155/2017/6063176.

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In this paper, we develop a new method to reduce the error in the splitting finite-difference method of Maxwell’s equations. By this method two modified splitting FDTD methods (MS-FDTDI, MS-FDTDII) for the two-dimensional Maxwell equations are proposed. It is shown that the two methods are second-order accurate in time and space and unconditionally stable by Fourier methods. By energy method, it is proved that MS-FDTDI is second-order convergent. By deriving the numerical dispersion (ND) relations, we prove rigorously that MS-FDTDI has less ND errors than the ADI-FDTD method and the ND errors

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38

Rey de Luna, A., and M. Zamora. "Canonical formalism in equilibrium thermodynamics. II. Homogeneity, stability, and generalized Maxwell relations." Journal of Chemical Physics 84, no. 8 (1986): 4619–24. http://dx.doi.org/10.1063/1.449986.

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39

Ritchie, David J. "Answer to Question #78. A question about the Maxwell relations in thermodynamics." American Journal of Physics 70, no. 2 (2002): 104. http://dx.doi.org/10.1119/1.1410956.

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40

Leff, Harvey S. "Answer to Question #78. A question about the Maxwell relations in thermodynamics." American Journal of Physics 70, no. 2 (2002): 104. http://dx.doi.org/10.1119/1.1410957.

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41

Russell, Thomas. "Answer to Question #78. A question about the Maxwell relations in thermodynamics." American Journal of Physics 70, no. 2 (2002): 105. http://dx.doi.org/10.1119/1.1410958.

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42

Ambegaokar, Vinay, and N. David Mermin. "Answer to Question #78. A question about the Maxwell relations in thermodynamics." American Journal of Physics 70, no. 2 (2002): 105. http://dx.doi.org/10.1119/1.1410959.

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43

Landsberg, P. T. "Answer to Question #78. A question about the Maxwell relations in thermodynamics." American Journal of Physics 70, no. 2 (2002): 105. http://dx.doi.org/10.1119/1.1410960.

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44

Bashir, A., A. Raya, and S. Sánchez Madrigal. "Gauge covariance relations and the fermion propagator in Maxwell–Chern–Simons QED3." Journal of Physics A: Mathematical and Theoretical 41, no. 50 (2008): 505401. http://dx.doi.org/10.1088/1751-8113/41/50/505401.

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45

Zimmels, Y. "Theory and system analysis of field-dependent thermodynamic variables and Maxwell relations." Physical Review E 53, no. 4 (1996): 3173–91. http://dx.doi.org/10.1103/physreve.53.3173.

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46

Lu, Biao, Xiaodong Jian, Xiongwei Lin, et al. "Enhanced Electrocaloric Effect in 0.73Pb(Mg1/3Nb2/3)O3-0.27PbTiO3 Single Crystals via Direct Measurement." Crystals 10, no. 6 (2020): 451. http://dx.doi.org/10.3390/cryst10060451.

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Electrocaloric properties of [110] and [111] oriented 0.73Pb(Mg1/3Nb2/3)O3-0.27PbTiO3 single crystals were studied in the temperature range of 293–423 K. The Maxwell relations and the Landau–Ginsburg–Devonshire (LGD) phenomenological theory were employed as the indirect method to calculate the electrocaloric properties, while a high-resolution calorimeter was used to measure the adiabatic temperature change of the electrocaloric effect (ECE) directly. The results indicate that the directly measured temperature changes of ΔT > 2.5 K at room temperature were procured when the applied electric

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47

Xu, Wei, Jia Wang, and Xin-He Meng. "The entropy sum of (A)dS black holes in four and higher dimensions." International Journal of Modern Physics A 29, no. 30 (2014): 1450172. http://dx.doi.org/10.1142/s0217751x14501723.

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We present the "entropy sum" relation of (A)dS charged black holes in higher-dimensional Einstein–Maxwell gravity, f(R) gravity, Gauss–Bonnet gravity and gauged supergravity. For their "entropy sum" with the necessary effect of the unphysical "virtual" horizon included, we conclude the general results that the cosmological constant dependence and Gauss–Bonnet coupling constant dependence do hold in both the four and six dimensions, while the "entropy sum" is always vanishing in odd dimensions. Furthermore, the "entropy sum" of all horizons is related to the geometry of the horizons in four and

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48

XIAO, JIANHUA. "FORMULATING JOSEPHSON EFFECTS AND VORTICES BY REFORMULATED MAXWELL EQUATIONS." International Journal of Modern Physics B 23, no. 20n21 (2009): 4384–94. http://dx.doi.org/10.1142/s0217979209063535.

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Maxwell equations are not logical consistent. This problem is caused by the implication that the divergence and the curl of a vector are not related. Based on Chen's S - R decomposition of a rank-two tensor, this logical un-consistency is discarded and, as a consequence, the classical Maxwell equations are reformulated to deduce London equations. From boundary field point, the relations between Josephson current and outside magnetic field are established, which shows that the Josephson current is produced by vortices of boundary magnetic field. From local field point, the first London equation

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49

Müller, Rüdiger, and Manuel Landstorfer. "Galilean Bulk-Surface Electrothermodynamics and Applications to Electrochemistry." Entropy 25, no. 3 (2023): 416. http://dx.doi.org/10.3390/e25030416.

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In this work, the balance equations of non-equilibrium thermodynamics are coupled to Galilean limit systems of the Maxwell equations, i.e., either to (i) the quasi-electrostatic limit or (ii) the quasi-magnetostatic limit. We explicitly consider a volume Ω, which is divided into Ω+ and Ω− by a possibly moving singular surface S, where a charged reacting mixture of a viscous medium can be present on each geometrical entity (Ω+,S,Ω−). By the restriction to the Galilean limits of the Maxwell equations, we achieve that only subsystems of equations for matter and electromagnetic fields are coupled

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50

Дышеков, А. А. "Уравнения для импульса и энергии рентгеновского волнового поля в кристалле". Письма в журнал технической физики 44, № 19 (2018): 105. http://dx.doi.org/10.21883/pjtf.2018.19.46689.17435.

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AbstractA new approach for describing the interaction of X rays with a crystalline medium is proposed. General relations for a change in the electromagnetic-field momentum and energy have been derived for a nonmagnetic medium with variable permittivity. A special local coordinate system for an inhomogeneous medium is introduced, in which the Maxwell tension tensor has a canonical form determined by the energy and momentum densities. Main relations for changes in the energy and momentum densities have been obtained in the coordinate system related to the propagation direction of a plane electro

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