Path reweighting technique with scaling factor for stochastic dynamics and its application to the magnetization reversal process

Abstract

Reweighting of trajectories in stochastic dynamical processes leads to significant reduction in simulation effort as it allows stochastic dynamical result corresponding to one temperature to be ported to another temperature. In this paper, we propose an improved reweighting technique which incorporates a time scaling factor. This results in an improved distribution in the trajectory’s weight space, and broadens the range of temperature over which the reweighting technique can be applied. The technique is employed in numerical simulation of an exemplary stochastic process, i.e., the thermally activated magnetization reversal process of an Ising system.