Thermodynamic formalism and large deviation principle of multiplicative Ising models

Jung-Chao Ban, Wen-Guei Hu and Guan-Yu Lai

Chaos, Solitons & Fractals, 2025, vol. 195, issue C

Abstract: In the paper, we explore the thermodynamics of Ising models in relation to 2-multiple Hamiltonians. We extend the findings of Chazottes and Redig (2014) to Nd. We establish the large deviation principle (LDP) for the average 1NSNG, where SNG is a 2-multiple sum along a semigroup generated by k co-primes. This extends the previous results by Ban et al. (2022) to a broader class of long-range interactions. Finally, the results are generalized to the multidimensional lattice Nd for d≥1. We also provide the formulae for various thermodynamic properties corresponding to the given model.

Keywords: Gibbs measures; Multiplicative shift; Large deviation principle; Multiple sum; Free energy function (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:195:y:2025:i:c:s096007792500298x

DOI: 10.1016/j.chaos.2025.116285

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