We have analyzed the phenomenon of stochastic resonance in a spatially extended system by studying a simple version of a bistable reaction-diffusion model. Knowledge of the nonequilibrium potential for this system allows us to determine, using the albedo boundary condition as our (modulated) control parameter, the bistability region in the nonequilibrium potential, the probability for the decay of the metastable extended states, and approximate expressions for the correlation function and the signal-to-noise ratio in this case.
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Horacio S. Wio (1996) studied this question.
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