Metastable transition times of the 1D dynamical sine-Gordon model
Abstract
We study the dynamics of a stochastic heat equation with γ(β u) nonlinearity on one-dimensional torus. We show an Eyring--Kramers law for the jump rate between potential wells in the small-noise limit, and that the transition state undergoes a bifurcation at γβ = 1. The argument follows the potential-theoretic approach of Berglund and Gentz [Electron. J. Probab. 2013].
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