Real Space Renormalization Group for Langevin Dynamics in Absence of Translational Invariance
Condensed Matter
2009-10-22 v1
Abstract
A novel exact dynamical real space renormalization group for a Langevin equation derivable from a Euclidean Gaussian action is presented. It is demonstrated rigorously that an algebraic temporal law holds for the Green function on arbitrary structures of infinite extent. In the case of fractals it is shown on specific examples that two different fixed points are found at variance with periodic structures. Connection with growth dynamics of interfaces is also discussed.
Keywords
Cite
@article{arxiv.cond-mat/9411114,
title = {Real Space Renormalization Group for Langevin Dynamics in Absence of Translational Invariance},
author = {Achille Giacometti and Amos Maritan and Flavio Toigo and Jayanth R. Banavar},
journal= {arXiv preprint arXiv:cond-mat/9411114},
year = {2009}
}
Comments
22 pages, RevTex 3.0, 5 figures available upon request from [email protected], to be published in J.Stat.Phys