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Stochastic Resonance in Two Dimensional Landau Ginzburg Equation

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arxiv nlin/0308009 v1 pith:TPAN7V2S submitted 2003-08-06 nlin.CD nlin.PS

Stochastic Resonance in Two Dimensional Landau Ginzburg Equation

classification nlin.CD nlin.PS
keywords equationresonancestochasticdimensionaleffectginzburglandaurenormalization
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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.

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