Nonequilibrium phase transitions induced by multiplicative noise: Effects of self-correlation

S. MANGIONI; R. TORAL; R. DEZA; S. H. WIO

PHYSICAL REVIEW E - STATISTICAL PHYSICS, PLASMAS, FLUIDS AND RELATED INTERDISCIPLINARY TOPICS

American Physical Society

Año: 2000 vol. 61 p. 223 - 232

1063-651X

A recently introduced lattice model, describing an extended system which exhibits a reentrant (symmetry breaking, second-order) noise-induced nonequilibrium phase transition, is studied under the assumption that the multiplicative noise leading to the transition is colored. Within an effective Markovian approximation and a mean-field scheme it is found that when the self-correlation time t of the noise is different from zero, the transition is also reentrant with respect to the spatial coupling D. In other words, at variance with what one expects for equilibrium phase transitions, a large enough value of D favors disorder. Moreover, except for a small region in the parameter subspace determined by the noise intensity s and D, an increase in t usually prevents the formation of an ordered state. These effects are supported by numerical simulations.