Issues

 / 

1976

 / 

March

  

Methodological notes


Paradoxes of gas mixing

A unified explanation of the Gibbs and Einstein paradoxes and of a new paradox in the mixing of quantum ideal gases is given. It is shown that all three paradoxes are due to the same physical cause–the corresponding discontinuity in the partial density on going from mixing of different gases to mixing of identical gases.

Fulltext pdf (285 KB)
Fulltext is also available at DOI: 10.1070/PU1976v019n03ABEH005143
PACS: 05.70.−a
DOI: 10.1070/PU1976v019n03ABEH005143
URL: https://ufn.ru/en/articles/1976/3/e/
Citation: Bazarov I P "Paradoxes of gas mixing" Sov. Phys. Usp. 19 271–273 (1976)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Îðèãèíàë: Áàçàðîâ È Ï «Ïàðàäîêñû ñìåøåíèÿ ãàçîâ» ÓÔÍ 118 539–543 (1976); DOI: 10.3367/UFNr.0118.197603g.0539

Similar articles (19) ↓

  1. Yu.L. Klimontovich “Fluctuation-dissipation relations. Role of the finiteness of the correlation time. Quantum generalization of Nyquist’s formulaSov. Phys. Usp. 30 154–167 (1987)
  2. V.L. Ginzburg, L.P. Pitaevskii “Quantum Nyquist formula and the applicability ranges of the Callen-Welton formulaSov. Phys. Usp. 30 168–171 (1987)
  3. V.K. Konyukhov, A.M. Prokhorov “Second law of thermodynamics and thermally excited quantum oscillatorsSov. Phys. Usp. 19 618–623 (1976)
  4. V.V. Popkov, E.V. Shipitsyn “Golden section in the Carnot cyclePhys. Usp. 43 1155–1157 (2000)
  5. G.N. Bochkov, Yu.E. Kuzovlev “Fluctuation-dissipation relations: achievements and misunderstandingsPhys. Usp. 56 590–602 (2013)
  6. A.A. Andronov, Yu.A. Ryzhov “An infinity of the classical theory of fluctuations in a nondegenerate electron gasSov. Phys. Usp. 21 873–878 (1978)
  7. A.V. Belinskii “Bell’s paradoxes without the introduction of hidden variablesPhys. Usp. 37 413–419 (1994)
  8. Yu.S. Barash, V.L. Ginzburg “Expressions for the energy density and evolved heat in the electrodynamics of a dispersive and absorptive mediumSov. Phys. Usp. 19 263–270 (1976)
  9. V.L. Lyuboshitz, M.I. Podgoretskii “The Gibbs paradoxSov. Phys. Usp. 14 662–666 (1972)
  10. Ya.A. Smorodinskii, V.A. Ugarov “Two paradoxes of the special theory of relativitySov. Phys. Usp. 15 340–346 (1972)
  11. N.P. Klepikov “Types of transformations used in physics, and particle ’exchange’Sov. Phys. Usp. 30 644–648 (1987)
  12. S.I. Chermyanin “Predictions of the general theory of relativity are free from ambiguitySov. Phys. Usp. 33 (5) 385–387 (1990)
  13. B.M. Smirnov “Clusters with close packingSov. Phys. Usp. 35 (1) 37–48 (1992)
  14. V.V. Mityugov “The tree of paradoxPhys. Usp. 36 (8) 744–753 (1993)
  15. V.S. Beskin, V.I. Par’ev “Axially symmetric steady-state flows in the vicinity of a Kerr black hole and the nature of the activity of galactic nucleiPhys. Usp. 36 (6) 529–539 (1993)
  16. G.B. Malykin “Para-Lorentz transformationsPhys. Usp. 52 263–266 (2009)
  17. M.V. Davidovich “On energy and momentum conservation laws for an electromagnetic field in a medium or at diffraction on a conducting platePhys. Usp. 53 595–609 (2010)
  18. I.N. Toptygin, K. Levina “Energy—momentum tensor of the electromagnetic field in dispersive mediaPhys. Usp. 59 141–152 (2016)
  19. V.Yu. Shishkov, E.S. Andrianov et alRelaxation of interacting open quantum systemsPhys. Usp. 62 510–523 (2019)

The list is formed automatically.

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