General framework of the non-perturbative renormalization group for non-equilibrium steady states

Abstract : This paper is devoted to presenting in detail the non-perturbative renormalization group (NPRG) formalism to investigate out-of-equilibrium systems and critical dynamics in statistical physics. The general NPRG framework for studying non-equilibrium steady states in stochastic models is expounded and fundamental technicalities are stressed, mainly regarding the role of causality and of Ito's discretization. We analyze the consequences of Ito's prescription in the NPRG framework and eventually provide an adequate regularization to encode them automatically. Besides, we show how to build a supersymmetric NPRG formalism with emphasis on time-reversal symmetric problems, whose supersymmetric structure allows for a particularly simple implementation of NPRG in which causality issues are transparent. We illustrate the two approaches on the example of Model A within the derivative expansion approximation at order two, and check that they yield identical results.
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https://hal.inria.fr/inria-00602654
Contributeur : Léonie Canet <>
Soumis le : jeudi 23 juin 2011 - 10:27:54
Dernière modification le : jeudi 11 janvier 2018 - 06:19:38

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  • HAL Id : inria-00602654, version 1
  • ARXIV : 1106.4129

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Léonie Canet, Hugues Chaté, Bertrand Delamotte. General framework of the non-perturbative renormalization group for non-equilibrium steady states. 28 pages, 1 figure. 2011. 〈inria-00602654〉

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