Dirichlet's and Thomson's principles for non-selfadjoint elliptic operators with application to non-reversible metastable diffusion processes
Probability
2018-08-29 v2 Statistical Mechanics
Analysis of PDEs
Abstract
We present two variational formulae for the capacity in the context of non-selfadjoint elliptic operators. The minimizers of these variational problems are expressed as solutions of boundary-value elliptic equations. We use these principles to provide a sharp estimate for the transition times between two different wells for non-reversible diffusion processes. This estimate permits to describe the metastable behavior of the system.
Cite
@article{arxiv.1701.00985,
title = {Dirichlet's and Thomson's principles for non-selfadjoint elliptic operators with application to non-reversible metastable diffusion processes},
author = {C. Landim and M. Mariani and I. Seo},
journal= {arXiv preprint arXiv:1701.00985},
year = {2018}
}