Renormalization group methods for coarse-graining of evolution equations

Abstract

We review some applications of the renormalization group (RG) to the coarse-graining of evolution equations. These techniques allow simulations with a lower computational cost. The idea behind real space RG is discussed in the first part, along with the background for its relation to coarse-graining. The rest of the article deals with their application to the selection of relevant degrees of freedom in discretized partial evolution equations, both linear and non-linear, and to the evolution of many-body systems, focusing on stochastic lattice models for reactiondiffusion. © 2006 Springer-Verlag Berlin Heidelberg.