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Damage Spreading in a 2D Ising Model with Swendsen–Wang Dynamics

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Abstract

Damage spreading for Ising cluster dynamics is investigated numerically by using random numbers in a way that conforms with the notion of submitting the two evolving replicas to the same thermal noise. Two damage spreading transitions are found; damage does not spread either at low or high temperatures. We determine some critical exponents at the high-temperature transition point, which seem consistent with directed percolation.

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Authors and Affiliations

  1. Department of Physics of Complex Systems, Weizmann Institute, Rehovot, 76100, Israel

    Haye Hinrichsen & Eytan Domany

  2. Max-Planck-Institut für Physik komplexer Systeme, 01187, Dresden, Germany

    Haye Hinrichsen

  3. School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Ramat Aviv, Tel Aviv, 69978, Israel

    Dietrich Stauffer

  4. Institute for Theoretical Physics, Cologne University, 50923, Cologne, Germany

    Dietrich Stauffer

Authors
  1. Haye Hinrichsen
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  2. Eytan Domany
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  3. Dietrich Stauffer
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Hinrichsen, H., Domany, E. & Stauffer, D. Damage Spreading in a 2D Ising Model with Swendsen–Wang Dynamics. Journal of Statistical Physics 91, 807–814 (1998). https://doi.org/10.1023/A:1023046115040

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  • DOI: https://doi.org/10.1023/A:1023046115040

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