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

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 fluctuat...

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Bibliographic Details
Published in:Theoretical and mathematical physics 2017-03, Vol.190 (3), p.402-410
Main Authors: Lavrukhin, I. V., Prudnikov, V. V., Prudnikov, P. V.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Asymptotic series
Dissipation
Group dynamics
Mathematical and Computational Physics
Physics
Physics and Astronomy
Response functions
Theoretical
Variations
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Summary: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.
ISSN:0040-5779
1573-9333
DOI:10.1134/S0040577917030096