Criticality in a hybrid spin model with Fermi–Dirac statistics

Y.F. Contoyiannis, S.M. Potirakis, F.K. Diakonos and E.K. Kosmidis

Physica A: Statistical Mechanics and its Applications, 2021, vol. 577, issue C

Abstract: Combining concepts of artificial neural networks (ANNs) with the stochastic dynamics of Ising spin lattices we introduce a hybrid model, the hybrid spin model (HSM). We find that the HSM carries the critical/tricritical fluctuations of the 2D Ising model and allows for an accurate estimation of the isothermal critical/tricritical exponents of 2D Ising universality class. Our work clearly demonstrates that HSM launches a new category of models supporting alternative pathways for the realization of criticality in complex networks artificial or real.

Keywords: 2D Ising; Fermi–Dirac statistics; Metropolis algorithm; Critical fluctuations; Tricritical fluctuations (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:577:y:2021:i:c:s0378437121003460

DOI: 10.1016/j.physa.2021.126073

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