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

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.

5 pages, eps figures included

References in corpus (2)

• Urn model of separation of sand
• The effects of violating detailed balance on critical dynamics

Cited by in corpus (5)

• The finite temperature transition for 2-flavour lattice QCD at finite isospin density
• Bistable Clustering in Driven Granular Mixtures
• Ehrenfest urn model with interaction
• Non-equilibrium thermodynamics and Phase transition of Ehrenfest urns with interactions
• Thermodynamics in Terms of a Sequence of $n-$chains Derived from a Martingale Decomposition of the Energy Process