Finding Most Probable Transition by Freidlin-Wentzell Theory

Freidlin-Wentzell theory tells the probability of a given trajectory in a stochastic dynamical system. The most probable transition path between arbitrary configurations is obtained by minimizing rate functional under constraints. An analytical solver, as well as a semi-analytical general solver based on a newly proposed discrete Freidlin-Wentzell theory, are presented. Langevin system in which noise is degenerate is specifically investigated.