Fast kinetic Monte Carlo simulation of strained heteroepitaxy in three dimensions

Chi Hang Lam, M. T. Lung, Leonard M. Sander

Research output: Journal article publicationJournal articleAcademic researchpeer-review

17 Citations (Scopus)


Accelerated algorithms for simulating the morphological evolution of strained heteroepitaxy based on a ball and spring lattice model in three dimensions are explained. We derive exact Green's function formalisms for boundary values in the associated lattice elasticity problems. The computational efficiency is further enhanced by using a superparticle surface coarsening approximation. Atomic hoppings simulating surface diffusion are sampled using a multi-step acceptance-rejection algorithm. It utilizes quick estimates of the atomic elastic energies from extensively tabulated values modulated by the local strain. A parameter controls the compromise between accuracy and efficiency of the acceptance-rejection algorithm.
Original languageEnglish
Pages (from-to)73-88
Number of pages16
JournalJournal of Scientific Computing
Issue number1
Publication statusPublished - 1 Oct 2008


  • Heteroepitaxy
  • Monte Carlo simulation
  • Surfaces
  • Thin films

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Software
  • General Engineering
  • Computational Theory and Mathematics


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