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TMF, 2024 Volume 221, Number 2, Pages 444–459 (Mi tmf10639)

Dynamical description of the phase transition to the superconducting state

L. A. Gostevaa, M. Yu. Nalimovab, A. S. Yashugina

a Saint-Petersburg State University, St. Petersburg, Russia
b Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Moscow region, Russia

Abstract: We present dynamical equations that are valid in a neighborhood of a phase transition to the superconducting state. In writing the equations, we take the possible influence of the magnetic interaction between charge carriers and temperature fluctuations into account. We discuss the type of the phase transition under study. We argue in favor of the applicability of stochastic dynamical model A according to the standard classification (the stochastic model with one two-component field without a conservation law) to describe the dynamics of this phase transition.

Keywords: superconductivity, critical phenomena, critical dynamics, phase transition, microscopic model, renormalization group, $(4-\varepsilon)$-expansion, MS renormalization scheme.

PACS: 74.40.Kb, 74.20.-z, 64.60.F-, 64.60.Ht, 64.60.fd, 64.60.ae, 05.10.Cc

MSC: 82B28, 81T18, 82B27, 82C27, 82B26, 82C26

Received: 10.11.2023
Revised: 12.06.2024

DOI: 10.4213/tmf10639


 English version:
Theoretical and Mathematical Physics, 2024, 221:2, 1981–1993

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© Steklov Math. Inst. of RAS, 2025