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

Abstract

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.

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