Ground States for Potts Model with Competing Interactions on Cayley Tree

2011/08/16 by G. I. Botirov, Botirov, G. I.
Mathematics · Physics and Astronomy · #82B20 #FOS: Physical sciences #Mathematical Physics (math-ph) #Opinion Dynamics and Social Influence #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #math-ph #math.MP #msc:82B20

paper · pdf · doi:10.48550/arxiv.1108.3178

7 pages

arxiv created 2011/08/16 · openalex publication_date 2011/08/16 · arxiv updated 2011/08/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the Potts model with two-step interactions and spin values 1,2,3,4 on a Cayley tree. We describe periodic ground states and verify the Peierls condition for the model.

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