Non-reversible metastable diffusions with Gibbs invariant measure. I: Eyring-Kramers formula

DOI10.1007/S00440-021-01102-ZzbMath1489.82059arXiv2008.08291OpenAlexW3051042143MaRDI QIDQ2128100

Jungkyoung Lee, Insuk Seo

Publication date: 21 April 2022

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.08291

zbMATH Keywords

diffusion processesEyring-Kramers formula

Mathematics Subject Classification ID

Brownian motion (60J65) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Diffusion processes (60J60) Large deviations (60F10) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (6)

Path integral derivation and numerical computation of large deviation prefactors for non-equilibrium dynamics through matrix Riccati equations ⋮ Non-reversible metastable diffusions with Gibbs invariant measure. II: Markov chain convergence ⋮ Metastability from the large deviations point of view: a \(\varGamma\)-expansion of the level two large deviations rate functional of non-reversible finite-state Markov chains ⋮ Energy landscape and metastability of stochastic Ising and Potts models on three-dimensional lattices without external fields ⋮ Large deviation principle for quasi-stationary distributions and multiscale dynamics of absorbed singular diffusions ⋮ Scaling limit of small random perturbation of dynamical systems

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