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 (Russian Federation)

JF - Theoretical and Mathematical Physics (Russian Federation)

SN - 0040-5779

IS - 2

ER -