2002/11/14 by Jorge Garcia, J. G. García, Julio A. Gonzalo +5 · 1 citation
Mathematics · Physics and Astronomy · #Complex Network Analysis Techniques #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0211270
6 pages, 7 figures, submitted to Phys. Rev. B
arxiv created 2002/11/14 · openalex publication_date 2002/11/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A careful Monte Carlo investigation of the phase transition very close to the critical point (T -> Tc, H -> 0) in relatively large d = 3, s = 1/2 Ising lattices did produce critical exponents beta = 0.3126(4) =~ 5/16, delta-1 = 0.1997(4) =~ 1/5 and gamma3D = 1.253(4) =~ 5/4. Our results indicate that, within experimental error, they are given by simple fractions corresponding to the linear interpolations between the respective two-dimensional (Onsager) and four-dimensional (mean field) critical exponents. An analysis of our inverse susceptibility data chi-1(T) vs. /T - Tc/ shows that these data lead to a value of gamma3D compatible with gamma' = gamma and Tc = 4.51152(12), while gamma values obtained recently by high and low temperature series expansions and renormalization group methods are not.