Renormalization-group description of nonequilibrium critical short-time relaxation processes: a three-loop approximation

Details Renormalization-group description of nonequilibrium critical short-time relaxation processes: a three-loop approximation Renormalization-group description of nonequilibrium critical short-time relaxation processes: a three-loop approximation

2010-05-26

arxiv.org/abs/1005.4950v1

JETP, 2008, Vol. 106, No. 6, pp. 1095-1101

Physics

Condensed Matter

Statistical Mechanics

7 RevTeX pages, 3 figures

Scientific paper

10.1134/S1063776108060083

The influence of nonequilibrium initial values of the order parameter on its evolution at a critical point is described using a renormalization group approach of the field theory. The dynamic critical exponent $\theta'$ of the short time evolution of a system with an $n$-component order parameter is calculated within a dynamical dissipative model using the method of $\varepsilon$-expansion in a three-loop approximation. Numerical values of $\theta'$ for three-dimensional systems are determined using the Pad\'{e}-Borel method for the summation of asymptotic series.

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