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

TL;DR

This paper investigates how colored multiplicative noise with self-correlation affects nonequilibrium phase transitions in a lattice model, revealing reentrant behavior and the suppression of order with increased self-correlation time.

Contribution

It introduces an analysis of the effects of noise self-correlation on phase transitions, extending previous models to include colored noise and mean-field approximations.

Findings

Reentrant phase transition behavior with respect to spatial coupling D.

Large D values favor disorder contrary to equilibrium expectations.

Increased self-correlation time generally inhibits ordered states.

Abstract

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 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 and D, an increase in the self-correlation time usually preventsthe formation of an ordered state. These effects are supported by numerical simulations.