Critical Binder cumulant of two-dimensional Ising models

2006/03/31 by W. Selke · 3 citations
Mathematics · Physics and Astronomy · #Complex Network Analysis Techniques #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.1140/epjb/e2006-00209-7

published as Eur. Phys. J. B 51, 223-228 (2006) · 6 pages, 4 figures, submitted to Eur. Phys. J. B

arxiv created 2006/04/05 · openalex publication_date 2006/05/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

The fourth-order cumulant of the magnetization, the Binder cumulant, is determined at the phase transition of Ising models on square and triangular lattices, using Monte Carlo techniques. Its value at criticality depends sensitively on boundary conditions, details of the clusters used in calculating the cumulant, and symmetry of the interactions or, here, lattice structure. Possibilities to identify generic critical cumulants are discussed.

Citations

• Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition

Cited by

• The critical Binder cumulant for isotropic Ising models on square and triangular lattices
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