2018/08/22 by Helen Au-Yang, Jacques H. H. Perk, Au-Yang, Helen +1 · 1 citation
Mathematics · Physics and Astronomy · #Complex Network Analysis Techniques #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.1808.07525
LaTeX, 19 pages, 3 figures, provides mathematical details for arXiv:1806.00873
arxiv created 2018/08/22 · openalex publication_date 2018/08/22 · arxiv updated 2018/08/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we use the dimer method to obtain the free energy of Ising models consisting of repeated horizontal strips of width m connected by sequences of vertical strings of length n mutually separated by distance N, with N arbitrary, to investigate the effects of connectivity and proximity on the specific heat. The decoration method is used to transform the strings of n+1 spins interacting with their nearest neighbors with coupling J into a pair with coupling J between the two spins. The free energy per site is given as a single integral and some results for critical temperatures are derived.