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An n-Fold Algorithm for the Heisenberg Model: An Equilibrium Study

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Computer Simulation Studies in Condensed-Matter Physics XIII

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 86))

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Abstract

We construct an n-fold type algorithm for the dynamics of a system with continuous degrees of freedom, and apply it to the canonical Metropolis dynamic for the classical Heisenberg model. Our algorithm reproduces both the static and the dynamics at equilibrium, obtained from a traditional Metropolis algorithm, but requires orders of magnitude less computer time at low temperatures. The treatment is general, and can be extended to other continuous systems.

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Author information

Authors and Affiliations

  1. Departamento de F′isica, Universidad Nacional de Colombia, Bogotá D.C., Colombia

    J. D. Muñoz

  2. School of Computational Science and Information Technology, Florida State University, Tallahassee, Florida, 32306-4120, USA

    M. A. Novotny & S. Mitchell

  3. Center for Materials Research and Technology and Department of Physics, Florida State University, Tallahassee, Florida, 32306-4351, USA

    S. Mitchell

Authors
  1. J. D. Muñoz
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  2. M. A. Novotny
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  3. S. Mitchell
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Editor information

Editors and Affiliations

  1. Center for Simulational Physics, The University of Georgia, Athens, GA, 30602-3451, USA

    David P. Landau Ph. D. , Steven P. Lewis Ph. D.  & Heinz-Bernd Schüttler Ph. D. ,  & 

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© 2001 Springer-Verlag Berlin Heidelberg

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Muñoz, J.D., Novotny, M.A., Mitchell, S. (2001). An n-Fold Algorithm for the Heisenberg Model: An Equilibrium Study. In: Landau, D.P., Lewis, S.P., Schüttler, HB. (eds) Computer Simulation Studies in Condensed-Matter Physics XIII. Springer Proceedings in Physics, vol 86. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56577-9_11

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  • DOI: https://doi.org/10.1007/978-3-642-56577-9_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41190-1

  • Online ISBN: 978-3-642-56577-9

  • eBook Packages: Springer Book Archive

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