Abstract

AbstractA theory of front propagation in bistable stochastic media is developed. The effect of fluctuations is twofold: 1) they lead to random variations of the front shape. 2) they result in random motion of the front positions. Its general expression for the dispersion of the position for arbitrary stochastic noises with spatial correlation length lc and correlation time τc is given. For rate functions with cubic nonlinearities the dispersion formula is further analysed.

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