A CORRELATION BETWEEN PERCOLATION MODEL AND ISING MODEL

R. Hackl and I. Morgenstern
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R. Hackl: Institut für Physik II, Universität Regensburg, Universitätsstraβe 31, 93053 Regensburg, Germany
I. Morgenstern: Institut für Physik II, Universität Regensburg, Universitätsstraβe 31, 93053 Regensburg, Germany

International Journal of Modern Physics C (IJMPC), 1996, vol. 07, issue 04, 609-612

Abstract: In this article we will expose a connection between critical values of percolation and Ising model, i.e., the percolation thresholdpc, and the critical temperatureTcand energyEc, respectively, by the approximation$P_c\approx \frac{1}{2} (1 -2E_c /kNJ) (1 -e^{-2J /k_B T_c})$. For the two-dimensional square lattice even the identity holds. For higher dimensions — up tod = 7— and other lattice types we find remarkably small differences from one to five percent.

Keywords: Percolation Model; Ising Model; Swendsen–Wang Algorithm (search for similar items in EconPapers)
Date: 1996
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DOI: 10.1142/S012918319600051X

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