English

Nonequilibrium transitions induced by multiplicative noise

Condensed Matter 2016-08-15 v1

Abstract

A new simple model exhibiting a noise-induced ordering transition (NIOT) and a noise-induced disordering transition (NIDT), in which the noise is purely multiplicative, is presented. Both transitions are found in two as well as in one dimension (where they had not been previously reported). We show analytically and numerically that the critical behavior of these two transitions is described by the so called multiplicative noise(MN) universality class. A computation of the set of critical exponents is presented in both d=1d=1, and d=2d=2 (where they have not been previously measured).

Keywords

Cite

@article{arxiv.cond-mat/9712157,
  title  = {Nonequilibrium transitions induced by multiplicative noise},
  author = {Walter Genovese and Miguel A. Muñoz and J. M. Sancho},
  journal= {arXiv preprint arXiv:cond-mat/9712157},
  year   = {2016}
}

Comments

4 pages, 2 figures, Latex

R2 v1 2026-07-22T12:01:14.717Z