Sharp-Interface Limit of the Allen-Cahn Action Functional in One Space Dimension

Abstract

We analyze the sharp-interface limit of the action minimization problem for the stochastically perturbed Allen-Cahn equation in one space dimension. The action is a deterministic functional which is linked to the behavior of the stochastic process in the small noise limit. Previously, heuristic arguments and numerical results have suggested that the… (More)

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