English

Stochastic Resonance in Two Dimensional Landau Ginzburg Equation

Chaotic Dynamics 2009-11-10 v1 Pattern Formation and Solitons

Abstract

We study the mechanism of stochastic resonance in a two dimensional Landau Ginzburg equation perturbed by a white noise. We shortly review how to renormalize the equation in order to avoid ultraviolet divergences. Next we show that the renormalization amplifies the effect of the small periodic perturbation in the system. We finally argue that stochastic resonance can be used to highlight the effect of renormalization in spatially extended system with a bistable equilibria.

Keywords

Cite

@article{arxiv.nlin/0308009,
  title  = {Stochastic Resonance in Two Dimensional Landau Ginzburg Equation},
  author = {Roberto Benzi and Alfonso Sutera},
  journal= {arXiv preprint arXiv:nlin/0308009},
  year   = {2009}
}