Three-dimensional barrier passage of non-Ohmic damping Brownian particles

Abstract

The barrier escaping problem of non-Ohmic damping Brownian particles diffusing over the saddle point of a three-dimensional potential energy surface is studied by using the reactive flux method. Analytical expression of the transmission coefficient [Formula: see text] is obtained for the first time to reveal the time-dependent barrier passage of the system. Numerical analyses on the stationary transmission coefficient [Formula: see text] are compared with those obtained in the previous one- and two-dimensional studies. It is found that [Formula: see text] varies non-monotonically with the change of the non-Ohmic exponent [Formula: see text], indicating a similar trend as well as the low-dimensional results. However comparatively, although sometimes it seems to be not the best choice for the particles to accomplish the process of diffusion, the three-dimensional barrier passage is still fairly satisfactory in most cases of the non-Ohmic damping.