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Monte Carlo simulation of very large kinetic Ising models

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Zeitschrift für Physik B Condensed Matter

Abstract

We study the relaxation of Ising models in three and four dimensions aboveT c , using multi-spin coding for lattices up to 3603 and 404. The nonlinear relaxation time diverges as (T−T c )−1.05±0.04 in three dimensions, where corrections to scaling are taken into account. In four dimensions the effective exponent is about 0.72; logarithmic correction factors make the analysis difficult here. The linear relaxation time for the asymptotic exponential decay is found to be larger, with effective exponents 1.31 (d=2) and 0.97 (d=4). The difference in the linear and nonlinear relaxation exponents is compatible in three dimensions with the orderparameter exponent β, as predicted by Racz.

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Authors and Affiliations

  1. Institut für Theoretische Physik der Universität zu Köln, Zülpicher Strasse 77, D-5000, Köln 41, Federal Republic of Germany

    B. K. Chakrabarti, H. G. Baumgärtel & D. Stauffer

Authors
  1. B. K. Chakrabarti
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  2. H. G. Baumgärtel
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  3. D. Stauffer
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Additional information

Work supported by SFB 125 Aachen-Jülich-Köln

Work started at Department de Physique des Systemes Desordonnes, Universite de Provence, Centre St-Jerome, F-13397 Marseille Cedex 13, France

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Chakrabarti, B.K., Baumgärtel, H.G. & Stauffer, D. Monte Carlo simulation of very large kinetic Ising models. Z. Physik B - Condensed Matter 44, 333–337 (1981). https://doi.org/10.1007/BF01294171

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  • DOI: https://doi.org/10.1007/BF01294171

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