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Stretched and non-stretched exponential relaxation in Ising ferromagnets

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  • Grassberger, Peter
  • Stauffer, Dietrich

Abstract

The decay of the Hamming distance in Monte Carlo simulations of Ising models with model A dynamics is shown to be numerically efficient to investigate the dynamics also below Tc. We observe a simple exponential decay in three and four dimensions below and above the Curie temperature. In two dimensions, a stretched exponential decay is observed only below Tc. The exponent in the latter is between the two predictions of Takanao et al. and Huse and Fisher, but the dynamics of single droplets is clearly found to disagree with Takano et al.

Suggested Citation

  • Grassberger, Peter & Stauffer, Dietrich, 1996. "Stretched and non-stretched exponential relaxation in Ising ferromagnets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 232(1), pages 171-179.
    • Handle: RePEc:eee:phsmap:v:232:y:1996:i:1:p:171-179
    DOI: 10.1016/0378-4371(96)00206-3
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    References listed on IDEAS

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    1. Giancarlo Gandolfo & Pier Carlo Padoan & Giuseppe De Arcangelis & Clifford R. Wymer, 1994. "The Italian Continuous Time Model: Results of the Nonlinear Estimation," CESifo Working Paper Series 69, CESifo.
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    Cited by:

    1. Makowiec, Danuta, 1996. "Chaos in cellular automaton systems with Toom rule," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 234(1), pages 435-442.

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