%0 Journal Article
%T Metastability of reversible random walks in potential fields
%A C. Landim
%A R. Misturini
%A K. Tsunoda
%J Mathematics
%D 2014
%I arXiv
%R 10.1007/s10955-015-1298-6
%X Let $\Xi$ be an open and bounded subset of $\bb R^d$, and let $F:\Xi\to\bb R$ be a twice continuously differentiable function. Denote by $\Xi_N$ th discretization of $\Xi$, $\Xi_N = \Xi \cap (N^{-1} \bb Z^d)$, and denote by $X_N(t)$ the continuous-time, nearest-neighbor, random walk on $\Xi_N$ which jumps from $\bs x$ to $\bs y$ at rate $ e^{-(1/2) N [F(\bs y) - F(\bs x)]}$. We examine in this article the metastable behavior of $X_N(t)$ among the wells of the potential $F$.
%U http://arxiv.org/abs/1408.6704v1