Metastability of non-reversible random walks in a potential field, the Eyring-Kramers transition rate formula

2016/05/03 by Cláudio Landim, Landim, Claudio, Insuk Seo +1 · 3 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Diffusion and Search Dynamics #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Stochastic processes and statistical mechanics #stochastic dynamics and bifurcation

paper · pdf · doi:10.48550/arxiv.1605.01009

openalex publication_date 2016/05/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider non-reversible random walks evolving on a potential field in a bounded domain of 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.

Citations

• The Activated Complex in Chemical Reactions

Cited by

• Eyring-Kramers formula for the mean exit time of non-Gibbsian elliptic processes: the non characteristic boundary case
• Hyperbolic periodic orbits in nongradient systems and\n small-noise-induced metastable transitions
• Metastability of one-dimensional, non-reversible diffusions with periodic boundary conditions

Related

• Metastability of reversible condensed zero range processes on a finite set
• Non-reversible Metastable Diffusions with Gibbs Invariant Measure I: Eyring-Kramers Formula
• Random walks on ℤ with metastable Gaussian distribution caused by linear drift with application to the contact process on the complete graph
• Non-reversible Metastable Diffusions with Gibbs Invariant Measure II: Markov Chain Convergence
• Metastability in stochastic dynamics of disordered mean-field models