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Critical Dynamics of the Phase Transition to the Superfluid State. / Zhavoronkov, Yu A.; Komarova, M. V.; Molotkov, Yu G.; Nalimov, M. Yu; Honkonent, J.

In: Theoretical and Mathematical Physics(Russian Federation), Vol. 200, No. 2, 01.08.2019, p. 1237-1251.

Research output: Contribution to journal › Article › peer-review

Harvard

Zhavoronkov, YA, Komarova, MV, Molotkov, YG, Nalimov, MY & Honkonent, J 2019, 'Critical Dynamics of the Phase Transition to the Superfluid State', Theoretical and Mathematical Physics(Russian Federation), vol. 200, no. 2, pp. 1237-1251. https://doi.org/10.1134/S0040577919080142

APA

Zhavoronkov, Y. A., Komarova, M. V., Molotkov, Y. G., Nalimov, M. Y., & Honkonent, J. (2019). Critical Dynamics of the Phase Transition to the Superfluid State. Theoretical and Mathematical Physics(Russian Federation), 200(2), 1237-1251. https://doi.org/10.1134/S0040577919080142

Vancouver

Zhavoronkov YA, Komarova MV, Molotkov YG, Nalimov MY, Honkonent J. Critical Dynamics of the Phase Transition to the Superfluid State. Theoretical and Mathematical Physics(Russian Federation). 2019 Aug 1;200(2):1237-1251. https://doi.org/10.1134/S0040577919080142

Author

Zhavoronkov, Yu A. ; Komarova, M. V. ; Molotkov, Yu G. ; Nalimov, M. Yu ; Honkonent, J. / Critical Dynamics of the Phase Transition to the Superfluid State. In: Theoretical and Mathematical Physics(Russian Federation). 2019 ; Vol. 200, No. 2. pp. 1237-1251.

BibTeX

@article{3d68627375f94947812c6f81f7dd3dbd,
title = "Critical Dynamics of the Phase Transition to the Superfluid State",
abstract = "In papers devoted to superfluidity, the generally accepted statement that the dynamics of the corresponding phase transition is described by the stochastic model F or E can be frequently found. Nevertheless, the dynamical critical index has not been found even in the leading order of the perturbation theory. It is also unknown which model, E or F, in fact corresponds to this system. We use two different approaches to study this problem. First, we study the dynamics of the critical behavior in a neighborhood of the λ point using the renormalization group method based on a quantum microscopic model in the formalism of the time-dependent Green{\textquoteright}s functions at a finite temperature. Second, we study the stochastic model F to find whether it is stable under compressibility effects. Both approaches lead to the same very unexpected result: the dynamics of the phase transition to the superfluid state are described by the stochastic model A with a known dynamical critical index.",
keywords = "(4—ε)-expansion, quantum field theory, quantum-field renormalization group, stochastic dynamics, superfluidity, λ point",
author = "Zhavoronkov, {Yu A.} and Komarova, {M. V.} and Molotkov, {Yu G.} and Nalimov, {M. Yu} and J. Honkonent",
note = "Publisher Copyright: {\textcopyright} 2019, Pleiades Publishing, Ltd. Copyright: Copyright 2019 Elsevier B.V., All rights reserved.",
year = "2019",
month = aug,
day = "1",
doi = "10.1134/S0040577919080142",
language = "English",
volume = "200",
pages = "1237--1251",
journal = "Theoretical and Mathematical Physics",
issn = "0040-5779",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - Critical Dynamics of the Phase Transition to the Superfluid State

AU - Zhavoronkov, Yu A.

AU - Komarova, M. V.

AU - Molotkov, Yu G.

AU - Nalimov, M. Yu

AU - Honkonent, J.

N1 - Publisher Copyright: © 2019, Pleiades Publishing, Ltd. Copyright: Copyright 2019 Elsevier B.V., All rights reserved.

PY - 2019/8/1

Y1 - 2019/8/1

N2 - In papers devoted to superfluidity, the generally accepted statement that the dynamics of the corresponding phase transition is described by the stochastic model F or E can be frequently found. Nevertheless, the dynamical critical index has not been found even in the leading order of the perturbation theory. It is also unknown which model, E or F, in fact corresponds to this system. We use two different approaches to study this problem. First, we study the dynamics of the critical behavior in a neighborhood of the λ point using the renormalization group method based on a quantum microscopic model in the formalism of the time-dependent Green’s functions at a finite temperature. Second, we study the stochastic model F to find whether it is stable under compressibility effects. Both approaches lead to the same very unexpected result: the dynamics of the phase transition to the superfluid state are described by the stochastic model A with a known dynamical critical index.

AB - In papers devoted to superfluidity, the generally accepted statement that the dynamics of the corresponding phase transition is described by the stochastic model F or E can be frequently found. Nevertheless, the dynamical critical index has not been found even in the leading order of the perturbation theory. It is also unknown which model, E or F, in fact corresponds to this system. We use two different approaches to study this problem. First, we study the dynamics of the critical behavior in a neighborhood of the λ point using the renormalization group method based on a quantum microscopic model in the formalism of the time-dependent Green’s functions at a finite temperature. Second, we study the stochastic model F to find whether it is stable under compressibility effects. Both approaches lead to the same very unexpected result: the dynamics of the phase transition to the superfluid state are described by the stochastic model A with a known dynamical critical index.

KW - (4—ε)-expansion

KW - quantum field theory

KW - quantum-field renormalization group

KW - stochastic dynamics

KW - superfluidity

KW - λ point

UR - http://www.scopus.com/inward/record.url?scp=85071910386&partnerID=8YFLogxK

U2 - 10.1134/S0040577919080142

DO - 10.1134/S0040577919080142

M3 - Article

AN - SCOPUS:85071910386

VL - 200

SP - 1237

EP - 1251

JO - Theoretical and Mathematical Physics

JF - Theoretical and Mathematical Physics

SN - 0040-5779

IS - 2

ER -

ID: 76334744