Abstract
Matrix kinetic equation method to derive a set of hydrodynamic equations for a superfluid Fermi system is developed and applied to 3He-A. The results are compared with phenomenological theories. The unknown parameters in the phenomenological theories are evaluated rigorously near the transition temperature. Some points which differ from phenomenological theories are discussed.
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For the theoretical review of orbital dynamics, see W.F. Brinkman and M.C. Cross, in: Progress in Low Temperature Physics, ed. D.F. Brewer (North-Holland, Amsterdam 1978), Vol. VII A, 163–184
Anderson, P.W. and W.F. Brinkman: Phys. Rev. Lett. 30, 1108 (1973), P.W. Anderson and P. Morel: Phys. Rev. 123, 1911 (1961)
De Gennes, P.G.: Phys. Lett. 44A, 271 (1973)
Graham, R.: Phys. Rev. Lett. 33, 1431 (1974)
Graham, R. and H. Pleiner: Phys. Rev. Lett. 34, 792 (1975)
Liu, M.: Phys. Rev. B13, 4174 (1976)
Hu, C.R. and W.M. Saslow: Phys. Rev. Lett. 38, 605 (1977)
Ho, T.L.: Quantum Fluids and Solids. Eds. S.B. Trickey, E.D. Adams, and J.W. Dufty (Plenum Press, New York 1977), pg. 97
Lhuillier, D.: J. de Phys. (Paris) Lett. 38, 121 (1977)
Khalatnikov, I.M.: An Introduction to the Theory of Superfluidity (Benjamin Inc., New York 1965)
Leggett, A.J.: Rev. Mod. Phys. 47, 331 (1975)
Betweder-Matibet, O. and P. Nozières: Ann. Phys. (New York) 51, 392 (1969)
Volovik, G.E. and V.P. Mineev: Zh. Eksper. Theoret. Fiz. 71, 1129 (1976); English translation: Sov. Phys. JETP 44, 591 (1977)
Wölfle, P.: J. Low Temp. Phys. 22, 157 (1976)
Kadanoff, L.P. and G. Baym: Quantum Statistical Mechanics (Benjamin Inc., New York 1965)
Hara, J. and K. Nagai: Proceedings of the International ULT Symposium, Hakone, Japan, 1977, ed. T. Sugawara (The Physical Society of Japan 1978), p. 139; J. Low Temp. Phys. 34, 351 (1979)
Nagai, K.: J. Low Temp. Phys. 36, 485 (1979)
Abrikosov, A.A. and I.M. Khalatnikov: Rep. Prog. Phys. 22, 329 (1959)
See for example J.H. Ferziger and H.G. Kaper: Mathematical Theory of Transport Processes in Gases (North Holland, Amsterdam 1972), Chap. 5
Cross, M.C.: J. Low Temp. Phys. 21, 525 (1975)
Cross, M.C.: J. Low Temp. Phys. 26, 165 (1977)
Cross, M.C. and P.W. Anderson: Proceedings of the 14th Intern. Conf. on Low Temp. Phys., Helsinki 1975, eds. M. Krusius and M. Vuorio (North Holland, Amsterdam 1975), Vol. 1, 29
Pethick, C.J. and H. Smith: Phys. Rev. Lett. 37, 226 (1976)
Combescot, R.: Preprint (1978)
Wölfle, P.: J. Low Temp. Phys. 26, 659 (1977)
Bhattacharrya, P., H. Smith and C.J. Pethick: Phys. Rev. B15, 3367 (1977)
Leggett, A.J. and S. Takagi: Ann. Phys. (N.Y.) 110, 353 (1978); Erratum: 112, 485 (1978)
Liu, M. and M.C. Cross: Phys. Rev. Lett. 41, 250 (1978).
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Nagai, K. (1980). Microscopic derivation of orbital hydrodynamic equations in superfluid 3He-A. In: Pękalski, A., Przystawa, J.A. (eds) Modern Trends in the Theory of Condensed Matter. Lecture Notes in Physics, vol 115. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0120131
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DOI: https://doi.org/10.1007/BFb0120131
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