A general view on the critical behavior in the effective field theory approximation of the Ising model with arbitrary coordination number

E. Jurčišinová and M. Jurčišin

Physica A: Statistical Mechanics and its Applications, 2019, vol. 525, issue C, 1399-1404

Abstract: A general polynomial equation is derived for the determination of the critical temperatures of the Ising model on lattices with arbitrary values of the coordination number in the framework of the single-site cluster effective field theory approximation. This equation is used for the investigation of the properties of the critical temperature of the model as the function of the coordination number. It is shown that the value of the critical temperature of the model can be approximated with very high precision by the simple function z−1 already for relatively small values of z. In addition, it is also shown that the critical temperatures only for the two smallest values of the coordination number (z=3 and 4) can be found in the closed analytic form.

Keywords: Ising model; Effective field theory; Critical temperatures; General solutions (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:525:y:2019:i:c:p:1399-1404

DOI: 10.1016/j.physa.2019.04.117

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