Metastability of non-reversible random walks in a potential field, the   Eyring-Kramers transition rate formula
  We consider non-reversible random walks evolving on a potential field in a bounded domain of $\mathbb{R}^d$. We describe the complete metastable behavior of the random walk among the landscape of valleys, and we derive the Eyring-Kramers formula for the mean transition time from a metastable set to a stable set. 
Claudio Landim and Insuk Seo
math.PR math-ph math.MP