Renormalization Group Theory for Global Asymptotic Analysis
Condensed Matter
2009-10-22 v1 High Energy Physics - Theory
Pattern Formation and Solitons
patt-sol
Abstract
We show with several examples that renormalization group (RG) theory can be used to understand singular and reductive perturbation methods in a unified fashion. Amplitude equations describing slow motion dynamics in nonequilibrium phenomena are RG equations. The renormalized perturbation approach may be simpler to use than other approaches, because it does not require the use of asymptotic matching, and yields practically superior approximations.
Keywords
Cite
@article{arxiv.cond-mat/9407024,
title = {Renormalization Group Theory for Global Asymptotic Analysis},
author = {Lin-Yuan Chen and Nigel Goldenfeld and Y. Oono},
journal= {arXiv preprint arXiv:cond-mat/9407024},
year = {2009}
}
Comments
13 pages, plain tex + uiucmac.tex (available from babbage.sissa.it), one PostScript figure appended at end. Or (easier) get compressed postscript file by anon ftp from gijoe.mrl.uiuc.edu (128.174.119.153), file /pub/rg_sing_prl.ps.Z