RSS feeds
РусскийEnglish
Issue 5, 2024
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

2004

 / 

August

←  →

Methodological notes


Classical mechanical analogs of relativistic effects

,
Semenov Federal Research Center for Chemical Physics, Russian Academy of Sciences, ul. Kosygina, 4, Moscow, 119991, Russian Federation

The analogs of relativistic effects in classical mechanics, which are observed in the propagation of solitons in solids, are discussed. These effects are described by formulas similar to those of the special theory of relativity, with the speed of sound entering them in lieu of the speed of light. These parallels are shown to be a part of the correspondence between the soliton theory and field theories (in particular, electrodynamics). The effect of Lorentz-invariance breakdown in mechanical systems on dynamic soliton properties is considered. It is shown that supersonic solitons (in particular, dislocations) can propagate in such systems.

Fulltext pdf (386 KB)
Fulltext is also available at DOI: 10.1070/PU2004v047n08ABEH001402
PACS: 03.30.+p, 05.45.Yv, 11.15.−q, 61.72.Lk (all)
DOI: 10.1070/PU2004v047n08ABEH001402
URL: https://ufn.ru/en/articles/2004/8/c/
000225645400003
2004PhyU...47..797M
Citation: Musienko A I, Manevich L I "Classical mechanical analogs of relativistic effects" Phys. Usp. 47 797–820 (2004)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Мусиенко А И, Маневич Л И «Аналоги релятивистских эффектов в классической механике» УФН 174 861–886 (2004); DOI: 10.3367/UFNr.0174.200408c.0861

References (85) Cited by (9) Similar articles (20) ↓

  1. V.L. Ginzburg, V.P. Frolov “Vacuum in a homogeneous gravitational field and excitation of a uniformly accelerated detector” 30 1073–1095 (1987)
  2. V.B. Morozov “On the question of the electromagnetic momentum of a charged body” 54 371–374 (2011)
  3. V.A. Aleshkevich “On special relativity teaching using modern experimental data” 55 1214–1231 (2012)
  4. P.B. Ivanov “On relativistic motion of a pair of particles having opposite signs of masses” 55 1232–1238 (2012)
  5. G.B. Malykin “The Sagnac effect: correct and incorrect explanations” 43 1229 (2000)
  6. V.I. Ritus “Permutation asymmetry of the relativistic velocity addition law and non-Euclidean geometry” 51 709–721 (2008)
  7. V.P. Makarov, A.A. Rukhadze “Force acting on a substance in an electromagnetic field” 52 937–943 (2009)
  8. Yu.I. Hovsepyan “Some notes on the relativistic Doppler effect” 41 941–944 (1998)
  9. J. Gaite “The relativistic virial theorem and scale invariance” 56 919–931 (2013)
  10. A.A. Logunov “The theory of the classical gravitational field” 38 179–193 (1995)
  11. B.P. Kosyakov “Radiation in electrodynamics and in Yang-Mills theory” 35 (2) 135–142 (1992)
  12. A.A. Logunov, Yu.V. Chugreev “Special theory of relativity and the Sagnac effect” 31 861–864 (1988)
  13. G.B. Malykin “Application of the modified Duguay method for measuring the Lorentz contraction of a moving body length” 64 1058–1062 (2021)
  14. V.I. Ritus “On the difference between Wigner’s and Møller’s approaches to the description of Thomas precession” 50 95–101 (2007)
  15. M.I. Krivoruchenko “Rotation of the swing plane of Foucault’s pendulum and Thomas spin precession: two sides of one coin” 52 821–829 (2009)
  16. I.F. Ginzburg “Unsolved problems in fundamental physics” 52 495–498 (2009)
  17. G.B. Malykin “The relation of Thomas precession to Ishlinskii’s theorem as applied to the rotating image of a relativistically moving body” 42 505–509 (1999)
  18. A. Loskutov “Dynamical chaos: systems of classical mechanics” 50 939–964 (2007)
  19. X.-B. Huang “A rigorous minimum-assumption derivation of the Lorentz transformation” 54 529–532 (2011)
  20. V.I. Ritus “Lagrange equations of motion of particles and photons in the Schwarzschild field” 58 1118–1123 (2015)

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