Sharp spectral asymptotics for nonreversible metastable diffusion processes

DOI10.2140/PMP.2020.1.3zbMath1484.60086arXiv1907.09166OpenAlexW3108000244MaRDI QIDQ2669252

Yanyan Li

Publication date: 9 March 2022

Published in: Probability and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.09166

zbMATH Keywords

metastabilityspectral theorysemiclassical analysisEyring-Kramers formulasnonreversible overdamped Langevin dynamics

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Diffusion processes (60J60) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12) PDEs in connection with statistical mechanics (35Q82)

Related Items (7)

Non-reversible metastable diffusions with Gibbs invariant measure. I: Eyring-Kramers formula ⋮ An Eyring-Kramers law for slowly oscillating bistable diffusions ⋮ Non-reversible metastable diffusions with Gibbs invariant measure. II: Markov chain convergence ⋮ Metastability results for a class of linear Boltzmann equations ⋮ 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 ⋮ Mean exit time for the overdamped Langevin process: the case with critical points on the boundary

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