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1989

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December

  

Reviews of topical problems


On the microscopic theory of superfluid liquids

This review presents a microscopic construction of the thermodynamics and hydrodynamics of superfluid bosons and fermions with singlet pairing, based on the concept of quasiaverages and the hypothesis of reduced description. Here we do not assume that the Hamiltonian possesses any dynamical symmetry. This has permitted obtaining results pertaining to both Galilean-invariant and relativistic systems. Account is taken of dissipative processes. The kinetic coefficients are presented in terms of the correlation functions of the flux operators. The approach is extended to solutions of quantum liquids. The influence of an external ac field on superfluid systems is studied, and the low-frequency asymptotic behavior of the Green's function is found in the hydrodynamic approximation. The symmetry properties of the equilibrium state are formulated, and the thermodynamics is constructed for superfluid Fermi systems with triplet pairing (the superfluid phases $^3$He-B and $^3$He-A). For the latter the flux densities of the additive integrals of motion are found in a state of equilibrium and the equations of ``ideal'' hydrodynamics are derived.

Fulltext pdf (856 KB)
Fulltext is also available at DOI: 10.1070/PU1989v032n12ABEH002782
PACS: 67.57.Bc, 67.57.De, 67.40.Hf, 67.40.Kh (all)
DOI: 10.1070/PU1989v032n12ABEH002782
URL: https://ufn.ru/en/articles/1989/12/a/
Citation: Bogolyubov N N (Jr.), Kovalevskii M Yu, Kurbatov A M, Peletminskii S V, Tarasov A N "On the microscopic theory of superfluid liquids" Sov. Phys. Usp. 32 1041–1059 (1989)
BibTexBibNote ® (generic)BibNote ® (RIS) MedlineRefWorks
PT Journal Article
TI On the microscopic theory of superfluid liquids
AU Bogolyubov N N (Jr.)
FAU Bogolyubov NN (Jr.)
AU Kovalevskii M Yu
FAU Kovalevskii MY
AU Kurbatov A M
FAU Kurbatov AM
AU Peletminskii S V
FAU Peletminskii SV
AU Tarasov A N
FAU Tarasov AN
DP 10 Dec, 1989
TA Phys. Usp.
VI 32
IP 12
PG 1041-1059
RX 10.1070/PU1989v032n12ABEH002782
URL https://ufn.ru/en/articles/1989/12/a/
SO Phys. Usp. 1989 Dec 10;32(12):1041-1059

Оригинал: Боголюбов Н Н (мл.), Ковалевский М Ю, Курбатов А М, Пелетминский С В, Тарасов А Н «К микроскопической теории сверхтекучих жидкостей» УФН 159 585–620 (1989); DOI: 10.3367/UFNr.0159.198912a.0585

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