Sebastiano de Franciscis, Alberto d'Onofrio
In this work, we introduce a spatiotemporal bounded noise derived by the sine-Wiener noise and by the spatially colored unbounded noise, originally developed by Garcia-Ojalvo et al. . We characterize the behavior of the distribution of this novel noise by studying its dependence on both the temporal and the spatial autocorrelation strengths. In particular, we show that by increasing the spatial correlation, the distribution experiences a stochastic transition from bimodality to unimodality. Then, we employ the noise here defined to study the noise-induced transitions on the time-dependent real Ginzburg-Landau model. Our numerical study evidences some new phenomenology emerging from the non trivial features of the noise that perturbs the system, with respect to the usual white noise generally employed. In particular we observe order-disorder-order re-entrant transitions dependent from the strength of the white noise term contained in the generative equation of sine-Wiener bounded noise.
View original:
http://arxiv.org/abs/1206.6020
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