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

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

2011-06-21

arxiv.org/abs/1106.4129v2

J. Phys. A: Math. Theor. 44 (2011) 495001

Physics

Condensed Matter

Statistical Mechanics

28 pages, 1 figure, minor corrections prior to publication

Scientific paper

10.1088/1751-8113/44/49/495001

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.

Affiliated with

Also associated with

No associations

Rating

General framework of the non-perturbative renormalization group for non-equilibrium steady states does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with General framework of the non-perturbative renormalization group for non-equilibrium steady states, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and General framework of the non-perturbative renormalization group for non-equilibrium steady states will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-178163