Non-perturbative Approach to Critical Dynamics

Details Non-perturbative Approach to Critical Dynamics Non-perturbative Approach to Critical Dynamics

2006-10-17

arxiv.org/abs/cond-mat/0610468v1

J.Phys.A 40:1937-1950,2007

Physics

Condensed Matter

Statistical Mechanics

13 pages

Scientific paper

10.1088/1751-8113/40/9/002

This paper is devoted to a non-perturbative renormalization group (NPRG) analysis of Model A, which stands as a paradigm for the study of critical dynamics. The NPRG formalism has appeared as a valuable theoretical tool to investigate non-equilibrium critical phenomena, yet the simplest -- and nontrivial -- models for critical dynamics have never been studied using NPRG techniques. In this paper we focus on Model A taking this opportunity to provide a pedagological introduction to NPRG methods for dynamical problems in statistical physics. The dynamical exponent $z$ is computed in $d=3$ and $d=2$ and is found in close agreement with results from other methods.

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