Investigation of probability theory on Ising models with different four-spin interactions

Yuming Yang, Baohua Teng, Hongchun Yang and Haijuan Cui

Physica A: Statistical Mechanics and its Applications, 2017, vol. 483, issue C, 243-249

Abstract: Based on probability theory, two types of three-dimensional Ising models with different four-spin interactions are studied. Firstly the partition function of the system is calculated by considering the local correlation of spins in a given configuration, and then the properties of the phase transition are quantitatively discussed with series expansion technique and numerical method. Meanwhile the rounding errors in this calculation is analyzed so that the possibly source of the error in the calculation based on the mean field theory is pointed out.

Keywords: Ising model; Probability; Error analysis; Simulation; Upper critical temperature (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:483:y:2017:i:c:p:243-249

DOI: 10.1016/j.physa.2017.04.176

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