Disordering effects of color in nonequilibrium phase transitions induced by multiplicative noise

Details Disordering effects of color in nonequilibrium phase transitions induced by multiplicative noise Disordering effects of color in nonequilibrium phase transitions induced by multiplicative noise

1997-07-30

arxiv.org/abs/cond-mat/9707308v1

Physics

Condensed Matter

4 pages, 2 Postscript figures included in text. LaTeX (with Revtex mac ros)

Scientific paper

10.1103/PhysRevLett.79.2389

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 $\sigma$-- 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 $\tau>0$, the stable phase for (diffusive) spatial coupling $D\to\infty$ 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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