Hackl, R. and Morgenstern, Ingo (1999) A correlation between percolation model and ising model. International Journal of Modern Physics C (ijmpc) 7 (4), pp. 609-612.
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In this article we will expose a connection between critical values of percolation and Ising model, i.e., the percolation threshold pc, and the critical temperature Tc and energy Ec, respectively, by the approximation . For the two-dimensional square lattice even the identity holds. For higher dimensions — up to d = 7 — and other lattice types we find remarkably small differences from one to five percent.
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|Institutions:||Physics > Institute of Theroretical Physics > Professor Morgenstern|
|Keywords:||Percolation Model; Ising Model; Swendsen–Wang Algorithm|
|Dewey Decimal Classification:||500 Science > 530 Physics|
|Created at the University of Regensburg:||Unknown|
|Deposited On:||23 Aug 2010 11:48|
|Last Modified:||23 Aug 2010 11:48|