Accelerated kinetic Monte Carlo algorithm for diffusion limited kinetics

TL;DR

This paper introduces an accelerated kinetic Monte Carlo algorithm that leverages system segmentation into non-interacting parts to improve simulation efficiency, demonstrated on one-dimensional island growth.

Contribution

The paper presents a novel Monte Carlo method that accelerates simulations by exploiting non-interacting segments within stochastic systems.

Findings

Enabled simulation of larger systems with higher parameters

Achieved faster computation times compared to previous methods

Successfully applied to diffusion-limited growth processes

Abstract

If a stochastic system during some periods of its evolution can be divided into non-interacting parts, the kinetics of each part can be simulated independently. We show that this can be used in the development of efficient Monte Carlo algorithms. As an illustrative example the simulation of irreversible growth of extended one dimensional islands is considered. The new approach allowed to simulate the systems characterized by parameters superior to those used in previous simulations.