Stability of the Phase Transition of Critical-Field Ising Model on Cayley trees under Inhomogeneous External Fields

2016/11/01 by Rodrigo Bissacot, Bissacot, Rodrigo, Eric O. Endo +4
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Complex Systems and Time Series Analysis #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech #math-ph #math.MP #math.PR #msc:05C05 #msc:82B20 #msc:82B26

paper · pdf · doi:10.48550/arxiv.1611.00424

13 pages, 2 pictures

arxiv created 2016/11/01 · arxiv updated 2016/11/07

Abstract

We consider the ferromagnetic Ising model with spatially dependent external fields on a Cayley tree, and we investigate the conditions for the existence of the phase transition for a class of external fields, asymptotically approaching a homogeneous critical external field. Our results extend earlier results by Rozikov and Ganikhodjaev.

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• Gradient Gibbs measures and fuzzy transformations on trees

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