Nonequilibrium transitions induced by multiplicative noise

Details Nonequilibrium transitions induced by multiplicative noise Nonequilibrium transitions induced by multiplicative noise

1997-12-15

arxiv.org/abs/cond-mat/9712157v1

Physics

Condensed Matter

4 pages, 2 figures, Latex

Scientific paper

10.1103/PhysRevE.57.R2495

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 $d=1$, and $d=2$ (where they have not been previously measured).

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