Critical temperatures of two- and three-dimensional Ferromagnetic Ising models- A hierarchy

2024/03/21 by M V Vismaya, Vismaya, M V, M.V. Sangaranarayanan +1
Mathematics · Physics and Astronomy · #Chemical Physics (physics.chem-ph) #FOS: Physical sciences #Opinion Dynamics and Social Influence #Statistical Mechanics (cond-mat.stat-mech) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.2403.14303

openalex publication_date 2024/03/21 · openalex created_date 2024/03/24 · openalex updated_date 2026/07/28

Abstract

A unified algebraic structure is shown to exist among various equations for the critical temperatures pertaining to diverse two- and three-dimensional lattices. This isomorphism is a pointer to the straight-forward extension of two-dimensional results to corresponding three dimensional analogues.

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