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

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

2002-01-25

arxiv.org/abs/cond-mat/0201472v1

Physical Review E 66, 016118 (2002)

Physics

Condensed Matter

Statistical Mechanics

5 pages, eps figures included

Scientific paper

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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