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

Király, Balázs (2023) A tensor renormalization group analysis of the Blume–Capel model inspired by game theory. PHYSICA A - STATISTICAL MECHANICS AND ITS APPLICATIONS, 630. ISSN 0378-4371

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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.

Item Type: Article
Uncontrolled Keywords: phase transition; evolutionary game theory; Blume–Capel model; Elementary coordination game; Tensor renormalization group; Lattice spin model;
Subjects: Q Science / természettudomány > QC Physics / fizika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 18 Oct 2023 14:56
Last Modified: 18 Oct 2023 14:56
URI: http://real.mtak.hu/id/eprint/177027

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