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Binder cumulants of an urn model and Ising model above critical dimension

A. Lipowski·M. Droz
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Abstract

Solving numerically master equation for a recently introduced urn model, we show that the fourth- and sixth-order cumulants remain constant along an exactly located line of critical points. Obtained values are in very good agreement with values predicted by Brezin and Zinn-Justin for the Ising model above the critical dimension. At the tricritical point cumulants acquire values which also agree with a suitably extended Brezin and Zinn-Justin approach.

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BibTeXRIS

A. Lipowski, M. Droz. 2002-01-25. Binder cumulants of an urn model and Ising model above critical dimension. https://doi.org/10.1103/physreve.66.016118

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