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Synchronous Sublattice Algorithm for Parallel Kinetic Monte Carlo Simulations

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Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 105))

Abstract

A recently-developed efficient, semi-rigorous synchronous algorithm for parallel kinetic Monte Carlo simulations is presented. The accuracy and parallel efficiency are studied as a function of processor size, number of processors, and the ratio D/F of monomer hopping rate (D) to deposition rate (F) for a variety of simple models of epitaxial growth. Since only local communication is required, the algorithm scales, i.e. for a large number of processors the parallel efficiency is independent of the number of processors.

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References

  1. A.B. Bortz, M.H. Kalos, J.L. Lebowitz: J. Comp. Phys. 17, 10 (1975)

    Article  ADS  Google Scholar 

  2. G.H. Gilmer: J. Crystal Growth 35, 15 (1976)

    Article  ADS  Google Scholar 

  3. A.F. Voter: Phys. Rev. B 34, 6819 (1986)

    Article  ADS  Google Scholar 

  4. J.L. Blue, I. Beichl, F. Sullivan: Phys. Rev. E 51, R867 (1995)

    Article  ADS  Google Scholar 

  5. N.C. Metropolis, A.W. Rosenbluth, M.N. Rosenbluth, A.H. Teller, E. Teller: J. Chem. Phys. 21, 6 (1953)

    Article  Google Scholar 

  6. K.M. Chandy, J. Misra: IEEE Trans. Software Eng. 5, 440 (1979); J. Misra: ACM Comput. Surv. 18, 39 (1986)

    Article  MathSciNet  Google Scholar 

  7. B.D. Lubachevsky: Complex Systems 1, 1099 (1987); J. Comput. Phys. 75, 103 (1988)

    MATH  MathSciNet  Google Scholar 

  8. G. Korniss, Z. Toroczkai, M.A. Novotny, P.A. Rikvold: Phys. Rev. Lett. 84, 1351 (2000)

    Article  ADS  Google Scholar 

  9. G. Korniss, M.A. Novotny, H. Guclu, Z. Toroczkai, P.A. Rikvold: Science 299, 677 (2003)

    Article  ADS  Google Scholar 

  10. G. Korniss, M.A. Novotny, P.A. Rikvold: J. Comp. Phys. 153, 488 (1999)

    Article  MATH  ADS  Google Scholar 

  11. N. Haider, S.A. Khaddaj, M.R. Wilby, D.D. Vvedensky: Comput. Phys. 9, 85 (1995)

    Article  ADS  Google Scholar 

  12. Y. Shim, J.G. Amar: submitted to J. Comp. Phys.

    Google Scholar 

  13. Y. Shim, J.G. Amar: to appear in Physical Review B (http://lanl.arXiv.org/abs/condmat/0406540)

    Google Scholar 

  14. Y. Shim, J.G. Amar: to appear in Physical Review B (http://lanl.arXiv.org/abs/condmat/0406379)

    Google Scholar 

  15. B.D. Lubachevsky, A. Weiss, in Proceeding of the 15th Workshop on Parallel and Distributed Simulation (PADS’01) (IEEE, Piscataway, NJ, 2001)

    Book  Google Scholar 

  16. J.G. Amar, F. Family, P.-M. Lam: Phys. Rev. B 50, 8781 (1994)

    Article  ADS  Google Scholar 

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© 2007 Springer-Verlag Berlin Heidelberg

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Shim, Y., Amar, J.G. (2007). Synchronous Sublattice Algorithm for Parallel Kinetic Monte Carlo Simulations. In: Landau, D.P., Lewis, S.P., Schüttler, HB. (eds) Computer Simulation Studies in Condensed-Matter Physics XVIII. Springer Proceedings in Physics, vol 105. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-32640-3_19

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