Monte Carlo with Absorbing Markov Chains: A Faster Monte-Carlo Algorithm for Dynamical Studies

  • M. A. Novotny
Part of the Springer Proceedings in Physics book series (SPPHY, volume 78)

Abstract

A new Monte Carlo algorithm is introduced which combines Monte Carlo with absorbing Markov chains (MCAMC). With a few additional assumptions, the simplest form of the MCAMC algorithm corresponds to the n-fold way algorithm. The MCAMC algorithm is applied to the study of the escape from the metastable state of the square-lattice Ising ferromagnet. Results agree with both continuum and discrete droplet theory.

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References

  1. [1]
    K.A. Mauritz and R.M. Fu, Macromolecules 21, 1324 (1988).CrossRefADSGoogle Scholar
  2. H. Yoon, H. Kim, and H. Yu, Macromolecules 22, 848 (1989).CrossRefADSGoogle Scholar
  3. M. Hara, J. Yu, and A.H. Lee, Macromolecules 22, 754 (1989).CrossRefADSGoogle Scholar
  4. [2]
    C.W. Lantman, W.J. Macknight, D.G. Peiffer, S.K. Sinha, and R.D. Lundberg, Macromolecules 20, 1096 (1987).CrossRefADSGoogle Scholar
  5. [3]
    T. Sakai, H. Takenaka, N. Wakabayashi, Y. Kawami, and E. Torikai, J. Electrochem. Soc. 132, 1328 (1985).Google Scholar
  6. [4]
    H. Bottger and V.V. Bryksins, Phys. Status Solidi B 113, 9 (1982).CrossRefADSGoogle Scholar
  7. [5]
    N. Wax (ed.), “Selected Papers on Noise and Stochastic Processes” (Dover, New York, 1954).Google Scholar
  8. E. W. Montroll and J.L. Lebowitz (eds.) “Fluctuation Phenomena” (North-Holland, Amsterdam, 1979).Google Scholar
  9. [6]
    J.W. Haus and K.W. Kehr, Phys. Rep. 150, 263 (1987).CrossRefADSGoogle Scholar
  10. [7]
    Y. He and R.B. Pandey, Phys. rev. Lett. 71, 565 1993). also in “Computer Simulation Studies in Condensed Matter Physics VI” eds. D.P. Landau, K.K. Mon, and H.-B. Schüttler (Springer-Verlag, 1993).CrossRefADSGoogle Scholar
  11. [8]
    B. Schmittmann, K. Hwang, and R.K.P. Zia, Europhys. Lett. 19, 19 (1992).CrossRefADSGoogle Scholar
  12. B. Schmittman and R.K.P. Zia, Phys. Rev. lett. 66, 357 (1991).CrossRefADSGoogle Scholar
  13. S. Katz, J.L. Lebowitz, and H. Spohn, Phys. Rev. B 28, 1655 (1983).CrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • M. A. Novotny
    • 1
  1. 1.Supercomputer Computations Research InstituteFlorida State UniversityTallahasseeUSA

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