An Eyring–Kramers law for the stochastic Allen–Cahn equation in dimension two
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چکیده
منابع مشابه
An Eyring–Kramers law for the stochastic Allen–Cahn equation in dimension two
We study spectral Galerkin approximations of an Allen–Cahn equation over the two-dimensional torus perturbed by weak space-time white noise of strength √ ε. We introduce a Wick renormalisation of the equation in order to have a system that is welldefined as the regularisation is removed. We show sharp upper and lower bounds on the transition times from a neighbourhood of the stable configuratio...
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ژورنال
عنوان ژورنال: Electronic Journal of Probability
سال: 2017
ISSN: 1083-6489
DOI: 10.1214/17-ejp60