A new approach to studying the thermodynamic properties of the q-state Potts model on a Cayley tree

Hasan Akın and Suleyman Ulusoy

Chaos, Solitons & Fractals, 2023, vol. 174, issue C

Abstract: The present paper extends the work of Akın and Ulusoy (2022). On a Cayley tree of order k with zero effective local external fields, we analyze the q-state Potts model (q-SPM) in the presence of competing for two nearest interactions and prolonged next nearest interactions. We establish Gibbs measures for the model using the Cayley tree’s self-similarity feature. The model’s phase transitions problem has been completely solved. Indeed, the critical surfaces that indicate the model’s phase transition are computed. There is a phase transition above this critical surface, and there is a single Gibbs measure found elsewhere. The chaoticity of the phases (Gibbs measures) is investigated using Lyapunov exponents. We analyze some of the q-SPM’s thermodynamic features. Using the cavity approach, we calculate the model’s free energy and entropy.

Keywords: Potts model; Competing interactions; Gibbs measure; Phase transition; Lyapunov exponent (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:174:y:2023:i:c:s0960077923007129

DOI: 10.1016/j.chaos.2023.113811

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