Numerical modeling of the Brownian motion in a bistable potential at medium friction

Abstract

Abstract We present results of the numerical modeling of the relaxation process for the Brownian motion in a bistable potential. Such a process is relevant for the recent nanoscale experiments reported in the literature. The modeling is based on the Langevin equations for the generalized coordinate and its conjugated momentum. First, the calculations are validated for the case of low thermal energy using a comparison with the analytical expressions for the harmonic oscillator. Next, the time evolution of the particle distribution in the bistable potential is analyzed.