RSS feeds
РусскийEnglish
Issue 12, 2024
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

2009

 / 

September

←  →

Methodological notes


Force acting on a substance in an electromagnetic field

 a,  a, b
a Prokhorov General Physics Institute of the Russian Academy of Sciences, ul. Vavilova 38, Moscow, 119991, Russian Federation
b Lomonosov Moscow State University, Faculty of Physics, Leninskie Gory 1 build. 2, Moscow, 119991, Russian Federation

This article, in essence, is a continuation of the work by V L Ginzburg and V A Ugarov (Usp. Fiz. Nauk 118 175 (1976) [Sov. Phys. Usp. 19 94 (1976)]). It is shown that the results given in § 75 of the book Electrodynamics of Continuous Media by L D Landau and E M Lifshitz (Moscow: Nauka, 1982, in Russian) and in § 105 of the book Fundamentals of the Theory of Electricity by I E Tamm (Moscow: Nauka, 1989, in Russian) unambiguously follow only from the Maxwell equations of macroscopic electrodynamics, the corresponding constitutive equations, and the equations of motion of a substance (the hydrodynamic equations). These results are as follows: (1) the force acting on a unit volume of a motionless substance is given by the sum of the Helmholtz force and the Abraham force; (2) the momentum density of an electromagnetic field is the Umov-Poynting vector divided by c2, and (3) the stress tensor related to the field coincides in its form with the sum of the stress tensor of the electrostatic field and the stress tensor of the magnetostatic field. Thus, it is proved that the symmetric form of the Abraham tensor stands for the energy-momentum tensor of an electromagnetic field in a motionless medium.

Fulltext pdf (181 KB)
Fulltext is also available at DOI: 10.3367/UFNe.0179.200909e.0995
PACS: 03.30.+p, 03.50.De, 41.20.−q (all)
DOI: 10.3367/UFNe.0179.200909e.0995
URL: https://ufn.ru/en/articles/2009/9/e/
000274047000005
2-s2.0-76149109096
2009PhyU...52..937M
Citation: Makarov V P, Rukhadze A A "Force acting on a substance in an electromagnetic field" Phys. Usp. 52 937–943 (2009)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Макаров В П, Рухадзе А А «Сила, действующая на вещество в электромагнитном поле» УФН 179 995–1001 (2009); DOI: 10.3367/UFNr.0179.200909e.0995

References (9) Cited by (16) Similar articles (20) ↓

  1. V.L. Ginzburg, V.A. Ugarov “Remarks on forces and the energy-momentum tensor in macroscopic electrodynamics” Sov. Phys. Usp. 19 94–101 (1976)
  2. V.G. Veselago “Energy, linear momentum, and mass transfer by an electromagnetic wave in a negative-refraction medium” Phys. Usp. 52 649–654 (2009)
  3. I.N. Toptygin, K. Levina “Energy—momentum tensor of the electromagnetic field in dispersive media” Phys. Usp. 59 141–152 (2016)
  4. M.V. Davidovich “On energy and momentum conservation laws for an electromagnetic field in a medium or at diffraction on a conducting plate” Phys. Usp. 53 595–609 (2010)
  5. V.L. Ginzburg “The laws of conservation of energy and momentum in emission of electromagnetic waves (photons) in a medium and the energy-momentum tensor in macroscopic electrodynamics” Sov. Phys. Usp. 16 434–439 (1973)
  6. Yu.A. Spirichev “On choosing the energy—momentum tensor in electrodynamics and on the Abraham force” Phys. Usp. 61 303–306 (2018)
  7. V.P. Makarov, A.A. Rukhadze “Material equations and Maxwell equations for isotropic media; waves with negative group velocity and negative values of ε (ω) and μ (ω)” Phys. Usp. 62 487–495 (2019)
  8. V.S. Beskin, A.A. Zheltoukhov “On the anomalous torque applied to a rotating magnetized sphere in a vacuum” Phys. Usp. 57 799–806 (2014)
  9. V.B. Morozov “On the question of the electromagnetic momentum of a charged body” Phys. Usp. 54 371–374 (2011)
  10. G.N. Gaidukov, A.A. Abramov “An interpretation of the energy conservation law for a point charge moving in a uniform electric field” Phys. Usp. 51 163–166 (2008)
  11. I.Ya. Brusin “A topological approach to the determination of macroscopic field vectors” Sov. Phys. Usp. 30 60–63 (1987)
  12. B.M. Bolotovskii, A.V. Serov “Features of the transition radiation field” Phys. Usp. 52 487–493 (2009)
  13. N.N. Rozanov “Superluminal localized structures of electromagnetic radiation” Phys. Usp. 48 167–171 (2005)
  14. A.M. Dykhne, A.A. Snarskii, M.I. Zhenirovskii “Stability and chaos in randomly inhomogeneous two-dimensional media and LC circuits” Phys. Usp. 47 821–828 (2004)
  15. I.N. Toptygin “Quantum description of a field in macroscopic electrodynamics and photon properties in transparent media” Phys. Usp. 60 935–947 (2017)
  16. A.M. Ignatov, A.I. Korotchenko et al “On the interpretation of computer simulation of classical Coulomb plasma” Phys. Usp. 38 109–114 (1995)
  17. N.A. Vinokurov “Analytical mechanics and field theory: derivation of equations from energy conservation” Phys. Usp. 57 593–596 (2014)
  18. A.A. Logunov “The theory of the classical gravitational field” Phys. Usp. 38 179–193 (1995)
  19. A.L. Barabanov “Angular momentum in classical electrodynamics” Phys. Usp. 36 (11) 1068–1074 (1993)
  20. S.G. Arutyunyan “Electromagnetic field lines of a point charge moving arbitrarily in vacuum” Sov. Phys. Usp. 29 1053–1057 (1986)

The list is formed automatically.
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions