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Renormalization group description of the nonequilibrium critical dynamics of spin systems at the fixed space dimension d = 3

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Abstract

We present the method and results of a renormalization group description of nonequilibrium critical relaxation of model A with evolution from an initial high-temperature state. We calculate the two-time dependence of the correlation function and response function and find a violation of the fluctuationdissipation theorem in the nonequilibrium critical regime. For the limit fluctuation-dissipation relation, which is a universal property of the nonequilibrium critical dynamics, we calculate the fluctuation and impurity corrections in the two-loop approximation at the fixed space dimension d = 3 using Padé–Borel summation for asymptotic series.

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Authors and Affiliations

  1. Dostoevsky Omsk State University, Omsk, Russia

    I. V. Lavrukhin, V. V. Prudnikov & P. V. Prudnikov

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  1. I. V. Lavrukhin
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  2. V. V. Prudnikov
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  3. P. V. Prudnikov
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Correspondence to I. V. Lavrukhin.

Additional information

This work was supported by a grant from the Russian Science Foundation (Project No. 14-12-00562).

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 190, No. 3, pp. 468–478, March, 2017.

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Lavrukhin, I.V., Prudnikov, V.V. & Prudnikov, P.V. Renormalization group description of the nonequilibrium critical dynamics of spin systems at the fixed space dimension d = 3. Theor Math Phys 190, 402–410 (2017). https://doi.org/10.1134/S0040577917030096

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