Effect of non Markovian dynamics on Barrier crossing dynamics of a charged particle in presence of a magnetic field

Abstract In this paper we have studied the effect of non Markovian thermal bath on the barrier crossing dynamics of a charged particle which is embedded in a non Markovian thermal bath in presence of a constant magnetic field. Based on the Fokker–Planck description of stochastic process in the extended phase space we have calculated barrier crossing rate. It exhibits that the barrier crossing rate for a given magnetic field strength enhances as the thermal bath deviates more from Markovian characteristics by increasing memory time of the dynamics. This may account deviation of experimental result from the Kramer’s rate.