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Thermodynamic formalism and large deviation principle of multiplicative Ising models

Author

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

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.

Suggested Citation

  • Ban, Jung-Chao & Hu, Wen-Guei & Lai, Guan-Yu, 2025. "Thermodynamic formalism and large deviation principle of multiplicative Ising models," Chaos, Solitons & Fractals, Elsevier, vol. 195(C).
    • Handle: RePEc:eee:chsofr:v:195:y:2025:i:c:s096007792500298x
    DOI: 10.1016/j.chaos.2025.116285
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