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Phys. Rev. Lett. 79, 2389 - 2393 (1997)

Disordering Effects of Color in Nonequilibrium Phase Transitions Induced by Multiplicative Noise

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S. Mangioni1, R. Deza1, H. S. Wio2, and R. Toral3,3b
1Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar del Plata, Deán Funes 3350, 7600 Mar del Plata, Argentina
2Centro Atómico Bariloche (CNEA) and Instituto Balseiro (U.N. de Cuyo), 8400 S.C. de Bariloche, Argentina
3Departament de Física, Universitat de les Illes Balears,
3b and Instituto Mediterráneo de Estudios Avanzados, IMEDEA (CSIC-UIB), E-07071 Palma de Mallorca, Spain

Received 28 October 1996; revised 16 June 1997

The model introduced by Van den Broeck, Parrondo, and Toral [Phys. Rev. Lett. 73, 3395 (1994)]—leading to a second-order-like noise-induced nonequilibrium phase transition which shows reentrance as a function of the (multiplicative) noise intensity σ—is investigated beyond the white-noise assumption. Through a Markovian approximation and within a mean-field treatment it is found that, in striking contrast with the usual behavior for equilibrium phase transitions, for noise self-correlation time τ>0, the stable phase for (diffusive) spatial coupling D→∞ is always the disordered one. Another surprising result is that a large noise “memory” also tends to destroy order. These results are supported by numerical simulations.


©1997 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevLett.79.2389
DOI: 10.1103/PhysRevLett.79.2389
PACS: 05.40.+j, 05.70.Ln, 47.20.Ky, 64.60.-i

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