A tensor renormalization group analysis of the Blume–Capel model inspired by game theory

Balázs Király

Physica A: Statistical Mechanics and its Applications, 2023, vol. 630, issue C

Abstract: After showing that it can be parametrized as the elementary coordination game of evolutionary game theory, this paper analyzes the Blume–Capel model using the tensor renormalization group method introduced by Michael Levin and Cody P. Nave. The results obtained along the cross sections defined by the coordination game parametrization expand and corroborate earlier findings regarding the location, order, and critical properties of the order–disorder phase transitions in both the zero-field and non-zero-field versions of the Blume–Capel model.

Keywords: Blume–Capel model; Elementary coordination game; Tensor renormalization group; Phase transition; Lattice spin model; Evolutionary game theory (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:630:y:2023:i:c:s0378437123008518

DOI: 10.1016/j.physa.2023.129296

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