An Introduction To Langer's Theory
Statistical Mechanics
2022-03-17 v3
Abstract
This note provides a pedagogical introduction to Langer's theory for activated rate processes in multiple dimensions at the high friction limit, with an emphasis on the connection between the theory and the property of the backward committor/splitting probability near the saddle point. The intended audience is assumed to have some familiarity with linear algebra and statistical mechanics while knowledge of stochastic processes is not strictly necessary.
Cite
@article{arxiv.2202.05443,
title = {An Introduction To Langer's Theory},
author = {Lu Hong},
journal= {arXiv preprint arXiv:2202.05443},
year = {2022}
}
Comments
25 pages, 3 figures; added clarifying comments to Section 3.1; fixed typos (again), improved presentation in Sections 3.3 and 3.4, and added references in Sections 3.5 and 3.6