Skip to main content
SpringerLink
Log in
Book cover

Computer Simulation Studies in Condensed-Matter Physics VII pp 161–165Cite as

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

  • Conference paper

Part of the book series: Springer Proceedings in Physics ((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.

This is a preview of subscription content, log in via an institution.

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. K.A. Mauritz and R.M. Fu, Macromolecules 21, 1324 (1988).

    Article  ADS  Google Scholar 

  2. H. Yoon, H. Kim, and H. Yu, Macromolecules 22, 848 (1989).

    Article  ADS  Google Scholar 

  3. M. Hara, J. Yu, and A.H. Lee, Macromolecules 22, 754 (1989).

    Article  ADS  Google Scholar 

  4. C.W. Lantman, W.J. Macknight, D.G. Peiffer, S.K. Sinha, and R.D. Lundberg, Macromolecules 20, 1096 (1987).

    Article  ADS  Google Scholar 

  5. T. Sakai, H. Takenaka, N. Wakabayashi, Y. Kawami, and E. Torikai, J. Electrochem. Soc. 132, 1328 (1985).

    Google Scholar 

  6. H. Bottger and V.V. Bryksins, Phys. Status Solidi B 113, 9 (1982).

    Article  ADS  Google Scholar 

  7. 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. J.W. Haus and K.W. Kehr, Phys. Rep. 150, 263 (1987).

    Article  ADS  Google Scholar 

  10. 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).

    Article  ADS  Google Scholar 

  11. B. Schmittmann, K. Hwang, and R.K.P. Zia, Europhys. Lett. 19, 19 (1992).

    Article  ADS  Google Scholar 

  12. B. Schmittman and R.K.P. Zia, Phys. Rev. lett. 66, 357 (1991).

    Article  ADS  Google Scholar 

  13. S. Katz, J.L. Lebowitz, and H. Spohn, Phys. Rev. B 28, 1655 (1983).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Supercomputer Computations Research Institute, Florida State University, Tallahassee, FL, 32306-4052, USA

    M. A. Novotny

Authors
  1. M. A. Novotny
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Center for Simulational Physics, The University of Georgia, Athens, GA, 30602, USA

    David P. Landau Ph. D. , K. K. Mon Ph. D  & Heinz-Bernd Schüttler Ph. D. ,  & 

Rights and permissions

Reprints and permissions

Copyright information

© 1994 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Novotny, M.A. (1994). Monte Carlo with Absorbing Markov Chains: A Faster Monte-Carlo Algorithm for Dynamical Studies. In: Landau, D.P., Mon, K.K., Schüttler, HB. (eds) Computer Simulation Studies in Condensed-Matter Physics VII. Springer Proceedings in Physics, vol 78. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79293-9_13

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-79293-9_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-79295-3

  • Online ISBN: 978-3-642-79293-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation