Eyring-Kramers formula for nonreversible diffusion processes
1 : Laboratoire de Physique de l'ENS Lyon
(Phys-ENS)
-
Website
CNRS : UMR5672, École Normale Supérieure (ENS) - Lyon
46 allée d'Italie 69007 Lyon -
France
The Eyring-Kramers formula gives the expected transition time beteween metastable states for reversible diffusion processes in the small temperature regime. I will present the derivation of this formula to generical nonreversible dynamics, and show that the role of the potential is played by the Freidlin-Wentzell quasipotential. In addition, this formula contains an extra factor that depends on the "non-Gibbsianness" of the system along the most probable escape path from the metastable state.