Phys. Rev. E 57, R2495 - R2498 (1998)Nonequilibrium transitions induced by multiplicative noise |
PRL Celebrates 50 Years
This Week's Milestone Letters are from 1981: |
Walter Genovese1, Miguel A. Muñoz1, and J. M. Sancho2
1Dipartimento di Fisica, Universitá di Roma “La Sapienza,” Piazzale Aldo Moro 2, I-00185 Roma, Italy
2Department 0407, Institute for Nonlinear Science, University of California, San Diego, 9500 Gilman Drive, La Jolla, California 92093-0407Departament d’Estructura i Constituents de la Matéria, Avenida Diagonal 647, 08028 Barcelona, Spain
Received 12 December 1997
A 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 dimensions as well as in one dimension. 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.
©1998 The American Physical Society
URL: http://link.aps.org/abstract/PRE/v57/pR2495
DOI: 10.1103/PhysRevE.57.R2495
PACS: 05.40.+j
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