Nonlinear Stochastic Differential Equations and Self-Organized Criticality
Condensed Matter
2016-11-03 v1
Abstract
Several nonlinear stochastic differential equations have been proposed in connection with self-organized critical phenomena. Due to the threshold condition involved in its dynamic evolution an infinite number of nonlinearities arises in a hydrodynamic description. We study two models with different noise correlations which make all the nonlinear contribution to be equally relevant below the upper critical dimension. The asymptotic values of the critical exponents are estimated from a systematic expansion in the number of coupling constants by means of the dynamic renormalization group.
Keywords
Cite
@article{arxiv.cond-mat/9312051,
title = {Nonlinear Stochastic Differential Equations and Self-Organized Criticality},
author = {Albert Diaz-Guilera},
journal= {arXiv preprint arXiv:cond-mat/9312051},
year = {2016}
}
Comments
RevTeX 3.0, no figures