Spatio-temporal Bounded Noises, and transitions induced by them in solutions of real Ginzburg-Landau model

摘要

In this work, we introduce two spatio-temporal colored bounded noises, basedon the zero-dimensional Cai-Lin and Tsallis-Borland noises. We then study andcharacterize the dependence of the defined bounded noises on both a temporalcorrelation parameter $\tau$ and on a spatial coupling parameter $\lambda$. Theboundedness of these noises has some consequences on their equilibriumdistributions. Indeed in some cases varying $\lambda$ may induce a transitionof the distribution of the noise from bimodality to unimodality. With the aimto study the role played by bounded noises on nonlinear dynamical systems, weinvestigate the behavior of the real Ginzburg-Landau time-varying modeladditively perturbed by such noises. The observed phase transitionsphenomenology is quite different from the one observed when the perturbationsare unbounded. In particular, we observed an inverse "order-to-disorder"transition, and a re-entrant transition, with dependence on the specific typeof bounded noise.