Spatiotemporal Bounded Noises, and transitions induced by them in Ginzburg-Landau model

Details Spatiotemporal Bounded Noises, and transitions induced by them in Ginzburg-Landau model Spatiotemporal Bounded Noises, and transitions induced by them in Ginzburg-Landau model

2012-03-23

arxiv.org/abs/1203.5270v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

In this work, we introduce for the first time two spatiotemporal colored bounded noises. We then study their dependence on both a temporal correlation and on a spatial coupling parameter \lambda. We show that varying \lambda in one case may induce a transition from bimodality to unimodality of the distribution of the noisy field. Then, we investigate the behavior of the real Ginzburg-Landau time-varying model additively perturbed by such bounded noises. We obtain that the observed phenomenology is extremely different from the one observed when the additive noise is an unbounded spatiotemporal colored noise. Moreover, we also observe that the phenomenology depends on the initial conditions, as well as on the specific type of adopted bounded noise.

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