V. S. Yarunin, “Thermal fluctuations of the bose condensate in Bogolyubov's model of superfluidity”, TMF, 96:1 (1993), 37–43; Theoret. and Math. Phys., 96:1 (1993), 801

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Teoreticheskaya i Matematicheskaya Fizika, 1993, Volume 96, Number 1, Pages 37–43 (Mi tmf1489)

This article is cited in 8 scientific papers (total in 8 papers)

Thermal fluctuations of the bose condensate in Bogolyubov's model of superfluidity

V. S. Yarunin

Joint Institute for Nuclear Research

Full-text PDF (669 kB) Citations (8)

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Abstract: The method of stationary phase in the canonical ensemble with constraint is used to calculate the partition function of Bogolyubov's model from the above-condensate (quantum) and condensate (classical) variables. Expressions are obtained for the stationary values and variances of the particle numbers of both components. Numerical estimates show that the level of the thermal fluctuations of its condensate exceeds its occupation number at temperatures near the transition point, while the opposite situation holds near

0^{o}

$0^{\mathrm{o}}$ К. The significance of this circumstance for the interpretation on experiments attempting to find the density of the superfluid component in liquid

^{4}

$^{4}$ Не is discussed.

Received: 28.08.1992

English version:
Theoretical and Mathematical Physics, 1993, Volume 96, Issue 1, Pages 801–805
DOI: https://doi.org/10.1007/BF01074108

Bibliographic databases:

Language: Russian

Citation: V. S. Yarunin, “Thermal fluctuations of the bose condensate in Bogolyubov's model of superfluidity”, TMF, 96:1 (1993), 37–43; Theoret. and Math. Phys., 96:1 (1993), 801–805

Citation in format AMSBIB

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\paper Thermal fluctuations of the bose condensate in Bogolyubov's model of superfluidity

\jour TMF

\yr 1993

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\issue 1

\pages 37--43

\mathnet{http://mi.mathnet.ru/tmf1489}

\transl

\jour Theoret. and Math. Phys.

\yr 1993

\vol 96

\issue 1

\pages 801--805

\crossref{https://doi.org/10.1007/BF01074108}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993MN25800003}

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https://www.mathnet.ru/eng/tmf1489

https://www.mathnet.ru/eng/tmf/v96/i1/p37

This publication is cited in the following 8 articles:

Baranov, DB, “Trapped Bose condensate in a gravitational field”, JETP Letters, 71:6 (2000), 266
V. S. Yarunin, “Low-temperature quasi-classical approximation for quantum macroscopic phenomena”, Theoret. and Math. Phys., 119:2 (1999), 640–659
Baranov, DB, “Scattering of neutrons on a Bose condensate”, Annalen der Physik, 8:2 (1999), 165
D.B. Baranov, Z.A. Kozlov, L.A. Siurakshina, V.S. Yarunin, “Scattering of neutrons on a Bose condensate”, Annalen der Physik, 511:2 (1999), 165
Yarunin, VS, “Bose–Einstein condensation and heat capacity of a nonideal gas”, Low Temperature Physics, 24:2 (1998), 130
Sa-Yakanit, V, “Bose–Einstein condensation in nonuniform media”, Physics Letters A, 237:3 (1998), 152
V. S. Yarunin, “Bose–Einstein condensation of nonideal gas”, Theoret. and Math. Phys., 109:2 (1996), 1473–1482
V. S. Yarunin, “The two-branch spectrum of excitations of the Bose-condensate”, J. Math. Sci. (New York), 88:2 (1998), 313–317

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	374
Full-text PDF :	142
References:	53
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