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arXiv · 1611.00424

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

Rodrigo Bissacot·Eric Ossami Endo·Aernout C. D. van Enter
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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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Rodrigo Bissacot, Eric Ossami Endo, Aernout C. D. van Enter. 2016-11-01. Stability of the Phase Transition of Critical-Field Ising Model on Cayley trees under Inhomogeneous External Fields. https://arxiv.org/abs/1611.00424

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