Chaos-induced escape over a potential barrier

Abstract

The statistical parity of a class of chaos-generated noises on the escape of strongly damped particles out of a potential well was investigated. The statistical asymmetry in the chaotic fluctuations lead to a skewed Maxwell-Boltzmann distribution in the well. The analytical expression which was based on the Perron-Frobenious equation, for the escape rate's prefactor that accounts for the effects was also discussed. The preturbative analysis showed that in the zeroth-order limit, the rate of particle escape converges to the Kramers rate.