2015/01/06 by Robert L. Jack, Peter Sollich · 1 citation
Physics and Astronomy · #cond-mat.stat-mech
paper · pdf · doi:10.1140/epjst/e2015-02416-9
12 pages
arxiv created 2015/01/06 · arxiv updated 2015/10/28
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.