Issues

 / 

2015

 / 

September

  

Conferences and symposia. 100th anniversary of the birth of E.M. Lifshitz


Superfluids in rotation: Landau—Lifshitz vortex sheets vs Onsager—Feynman vortices

 a, b
a Low Temperature Laboratory, Aalto University, PO Box 15100, Aalto, FI-00076, Finland
b Landau Institute for Theoretical Physics, Russian Academy of Sciences, ul. Kosygina 2, Moscow, 119334, Russian Federation

Landau and Lifshitz's 1955 paper on vortex sheets in a rotating superfluid came out almost simultaneously with Feynman's paper on quantized vortices in superfluid 4He and was long considered incorrect. Forty years later, in what was a triumph for the former authors' theory, experiments at the Olli Lounasmaa Low Temperature Laboratory (Otaniemi, Finland) detected vortex sheets in chiral superfluid 3He-45 A in a rotating cryostat, validating Landau and Lifshitz's equation relating the vortex sheet separation and the angular velocity of rotation. This paper discusses vortex sheet configurations that have been or can be observed in superfluid 3He.

Fulltext pdf (787 KB)
Fulltext is also available at DOI: 10.3367/UFNe.0185.201509h.0970
Keywords: rotating superfluid, quantized vortices, vortex sheet
PACS: 11.27.+d, 67.25.dk, 67.30.he (all)
DOI: 10.3367/UFNe.0185.201509h.0970
URL: https://ufn.ru/en/articles/2015/9/g/
000366405400007
2-s2.0-84951794691
2015PhyU...58..897V
Citation: Volovik G E "Superfluids in rotation: Landau—Lifshitz vortex sheets vs Onsager—Feynman vortices" Phys. Usp. 58 897–905 (2015)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 2nd, April 2015, 26th, March 2015

Оригинал: Воловик Г Е «Сверхтекучие жидкости во вращении. Вихревые листы Ландау—Лифшица и вихри Онзагера—Фейнмана» УФН 185 970–979 (2015); DOI: 10.3367/UFNr.0185.201509h.0970

E.M. Lifshitz is author of Physics-Uspekhi

References (32) ↓ Cited by (15) Similar articles (12)

  1. Feynman R P "Application of quantum mechanics to liquid helium" Progress In Low Temperature Physics Vol. 1 (Ed. C J Gorter) (Amsterdam: North-Holland, 1955) p. 17
  2. Landau L D, Lifshits E M "O vrashchenii zhidkogo geliya" Dokl. Akad. Nauk SSSR 100 (4) 669 (1955)
  3. Onsager L, unpublished; see, London F Superfluids Vol. 2 (New York: Wiley, 1954) p. 151
  4. London H Report of an Intern. Conf. on Fundamental Particles and Low Temperatures, Cambridge, England, 22 - 27 July 1946 Vol. 2 (London: The Physical Society, 1947) p. 48
  5. Eyink G L, Sreenivasan K R Rev. Mod. Phys. 78 87 (2006)
  6. Ginzburg V L "O poverkhnostnoi energii, svyazannoi tangentsial’nym razryvom skorosti v gelii II" Zh. Eksp. Teor. Fiz. 29 254 (1955); Ginzburg V L "The surface energy associated with a tangential velocity discontinuity in helium II" Sov. Phys. JETP 2 170 (1956)
  7. Lifshits I M, Kaganov M I Zh. Eksp. Teor. Fiz. 29 257 (1955); Lifshits I M, Kaganov M I "The effective density of rotating liquid helium II" Sov. Phys. JETP 2 172 (1956)
  8. Parts Ü et al. Pis’ma ZhETF 59 816 (1994); Parts Ü et al. JETP Lett. 59 851 (1994)
  9. Vollhardt D, Wölfle P The Superfuid Phases Of Helium-3 (London: Taylor and Francis, 1990)
  10. Skyrme T H R Nucl. Phys. 31 556 (1962)
  11. Mermin N D, Ho T-L Phys. Rev. Lett. 36 594 (1976)
  12. Seppälä H K et al. Phys. Rev. Lett. 52 1802 (1984)
  13. Mühlbauer S et al. "Skyrmion lattice in a chiral magnet" Science 323 915 (2009)
  14. Volovik G E, Mineev V P Pis’ma ZhETF 24 605 (1976); Volovik G E, Mineev V P JETP Lett. 24 561 (1976)
  15. Volovik G E The Universe In A Helium Droplet (Oxford: Clarendon Press, 2003)
  16. Dedukh L M, Nikitenko V I, Sonin E B Usp. Fiz. Nauk 145 158 (1985); Dedukh L M, Nikitenko V I, Sonin É B Sov. Phys. Usp. 28 100 (1985)
  17. Parts Ü et al. Phys. Rev. Lett. 72 3839 (1994)
  18. Eltsov V B et al. Physica B 284 - 288 252 (2000)
  19. Heinilä M T, Volovik G E Physica B 210 300 (1995)
  20. Thuneberg E V Physica B 210 287 (1995)
  21. Simula T P et al. J. Phys. Soc. Jpn. 80 013001 (2011)
  22. Salomaa M M, Volovik G E Rev. Mod. Phys. 59 533 (1987)
  23. Ruutu V M H et al. Nature 382 334 (1996)
  24. Volovik G E, Krusius M Priroda (4) 56 (1994)
  25. Volovik G E, Misirpashaev T Sh Pis’ma ZhETF 51 475 (1990); Volovik G E, Misirpashaev T Sh JETP Lett. 51 537 (1990)
  26. Eltsov V B et al. Phys. Rev. Lett. 88 065301 (2002)
  27. Parts Ü et al. Europhys. Lett. 31 449 (1995)
  28. Hänninen R et al. Phys. Rev. Lett. 90 225301 (2003)
  29. Kasamatsu K, Tsubota M Phys. Rev. A 79 023606 (2009)
  30. Blaauwgeers R et al. Phys. Rev. Lett. 89 155301 (2002)
  31. Volovik G E Pis’ma ZhETF 75 491 (2002); Volovik G E JETP Lett. 75 418 (2002)
  32. Finne A P et al. Nature 424 1022 (2003)

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