Accelerated kinetic Monte Carlo algorithm for diffusion limited kinetics

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.

4 pages, 4 figures, to be published in Phys. Rev. E

References in corpus (2)

• Multiscale Kinetic Monte-Carlo for Simulating Epitaxial Growth
• Asymptotic Capture-Number and Island-Size Distributions for One-Dimensional Irreversible Submonolayer Growth

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• Kinetic Monte Carlo simulations inspired by epitaxial graphene growth
• On the formalization of Asynchronous First Passage Algorithms