Effective interactions and large deviations in stochastic processes
Statistical Mechanics
2015-10-28 v1
Abstract
We discuss the relationships between large deviations in stochastic systems, and "effective interactions" that induce particular rare events. We focus on the nature of these effective interactions in physical systems with many interacting degrees of freedom, which we illustrate by reviewing several recent studies. We describe the connections between effective interactions, large deviations at "level 2.5", and the theory of optimal control. Finally, we discuss possible physical applications of variational results associated with those theories.
Keywords
Cite
@article{arxiv.1501.01154,
title = {Effective interactions and large deviations in stochastic processes},
author = {Robert L. Jack and Peter Sollich},
journal= {arXiv preprint arXiv:1501.01154},
year = {2015}
}
Comments
12 pages