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

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  • Király, Balázs

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.

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  • Király, Balázs, 2023. "A tensor renormalization group analysis of the Blume–Capel model inspired by game theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 630(C).
    • Handle: RePEc:eee:phsmap:v:630:y:2023:i:c:s0378437123008518
    DOI: 10.1016/j.physa.2023.129296
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    References listed on IDEAS

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    1. Galam, Serge & Walliser, Bernard, 2010. "Ising model versus normal form game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(3), pages 481-489.
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