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.
Stochastic resonance in two-dimensional Landau Ginzburg equation / R., Benzi; Sutera, Alfonso. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL. - ISSN 0305-4470. - STAMPA. - 37:32(2004), pp. L391-L398. [10.1088/0305-4470/37/32/l01]
Stochastic resonance in two-dimensional Landau Ginzburg equation
SUTERA, Alfonso
2004
Abstract
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
