The magnetization of the 3D Ising model

A. L. Talapov, Henk W. J. Blöte

Type: Article

Publication Date: 1996-09-07

Citations: 177

DOI: https://doi.org/10.1088/0305-4470/29/17/042

Abstract

We present highly accurate Monte Carlo results for simple cubic Ising lattices containing up to spins. These results were obtained by means of the Cluster Processor, a newly built special-purpose computer for the Wolff cluster simulation of the 3D Ising model. We find that the spontaneous magnetization M(t) is accurately described by , where , in a wide temperature range 0.0005 < t < 0.26. Any corrections to scaling with higher powers of t could not be resolved from our data, which implies that they are very small. The magnetization exponent is determined as . An analysis of the magnetization distribution near criticality yields a new determination of the critical point: , with a standard deviation of .

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Journal of Physics A Mathematical and General - View
arXiv (Cornell University) - View - PDF
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