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Phys. Rev. E 61, 223 - 232 (2000)

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

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Sergio E. Mangioni * and Roberto R. Deza †
Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar del Plata, Deán Funes 3350, 7600 Mar del Plata, Argentina

Raúl Toral ‡
Departament de Física, Universitat de les Illes Balears and Instituto Mediterráneo de Estudios Avanzados, IMEDEA (CSIC-UIB), E-07071 Palma de Mallorca, Spain

Horacio S. Wio §
Centro Atómico Bariloche, Comisión Nacional de Energía Atómica and Instituto Balseiro, 8400 San Carlos de Bariloche, Argentina

Received 24 March 1999

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 τ 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 σ and D, an increase in τ usually prevents the formation of an ordered state. These effects are supported by numerical simulations.


©2000 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevE.61.223
DOI: 10.1103/PhysRevE.61.223
PACS: 05.40.-a, 47.20.Ky, 47.20.Hw

* Electronic address: smangio@mdp.edu.ar
† Electronic address: deza@mdp.edu.ar
‡ URL: http://formentor.uib.es/∼raul. Electronic address: dfsrtg0@ps.uib.es
§ Electronic address: wio@cab.cnea.gov.ar

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