A method to project the rate kinetics of high dimensional barrier crossing problems onto a tractable 1D system
Abstract
We derive a technique to project barrier crossing simulation algorithms onto a one-dimensional system. In this 1D system we assume that the dynamics are dominated by moves between immediately adjacent states. The technique extracts the key kinetic information from a barrier crossing simulation. This determines the 1D system with identical properties to the multi-dimensional simulation when projected onto a 1D order parameter. The resulting 1D system has a known analytic solution. We apply the technique to the Graham and Olmsted model of flow-induced nucleation in