Stochastic resonance in two-dimensional Landau Ginzburg equation

We study the mechanism of stochastic resonance for the Landau Ginzburg equation in two space dimensions, perturbed by a white noise. We 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 argue that stochastic resonance can be used to highlight the effect of renormalization in a spatially extended system with multiple, stable statistical steady states