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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2023, Volume 117, Issue 12, Pages 943–949
DOI: https://doi.org/10.31857/S123456782312011X (Mi jetpl6973) 		 
This article is cited in 1 scientific paper (total in 1 paper)

METHODS OF THEORETICAL PHYSICS

Memory effects in the nonequilibrium critical behavior of the two-dimensional $XY$ model in the low-temperature Berezinskii phase

A. P. Popova, I. S. Popov, S. P. Chemeris, V. V. Prudnikov, P. V. Prudnikov

Omsk State University, Omsk, 644077 Russia
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DOI: https://doi.org/10.31857/S123456782312011X
Abstract: The Monte Carlo study of nonequilibrium memory effects in the two-dimensional pure and structurally disordered $XY$ model in the low-temperature Berezinskii phase has been performed. Features of the correlation between memory and aging effects have been demonstrated. A qualitatively novel phenomenon for memory effects has been revealed: dynamic curves of the autocorrelation function in the thermal cycling time interval tend to the dynamic curves with the initial temperature. A unique implementation of memory effects has been demonstrated at both cooling and heating cycling of the system under the condition that cooling and heating temperatures are in the low-temperature Berezinskii phase. The influence of structural disorder on memory effects has been analyzed. It has been found that they are enhanced in the structurally disordered system owing to the enhancement of aging effects.
Funding agency Grant number
Russian Foundation for Basic Research 20-32-90207
Ministry of Science and Higher Education of the Russian Federation 0741-2020-0002
075-15-2021-663
This work was supported by the Russian Foundation for Basic Research, project no. 20-32-90207, and by the Ministry of Science and Higher Education of the Russian Federation, agreement no. 0741-2020-0002. The use of the resources provided by the Center for Shared Access of Scientific Instrumentation Center for Processing and Storage of Scientific Data, Far Eastern Branch, Russian Academy of Sciences, was supported by the Ministry of Science and Higher Education of the Russian Federation, agreement no. 075-15-2021-663 [24].
Received: 31.03.2023
Revised: 06.05.2023
Accepted: 15.05.2023
English version:
Journal of Experimental and Theoretical Physics Letters, 2023, Volume 117, Issue 12, Pages 945–951
DOI: https://doi.org/10.1134/S0021364023601458
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. P. Popova, I. S. Popov, S. P. Chemeris, V. V. Prudnikov, P. V. Prudnikov, “Memory effects in the nonequilibrium critical behavior of the two-dimensional $XY$ model in the low-temperature Berezinskii phase”, Pis'ma v Zh. Èksper. Teoret. Fiz., 117:12 (2023), 943–949; JETP Letters, 117:12 (2023), 945–951
Citation in format AMSBIB
\Bibitem{PopPopChe23}
\by A.~P.~Popova, I.~S.~Popov, S.~P.~Chemeris, V.~V.~Prudnikov, P.~V.~Prudnikov
\paper Memory effects in the nonequilibrium critical behavior of the two-dimensional $XY$ model in the low-temperature Berezinskii phase
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2023
\vol 117
\issue 12
\pages 943--949
\mathnet{http://mi.mathnet.ru/jetpl6973}
\crossref{https://doi.org/10.31857/S123456782312011X}
\edn{https://elibrary.ru/exfasy}
\transl
\jour JETP Letters
\yr 2023
\vol 117
\issue 12
\pages 945--951
\crossref{https://doi.org/10.1134/S0021364023601458}
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    References:21
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