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

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.

13 pages, 2 pictures

References in corpus (2)

• Phase Transitions in Ferromagnetic Ising Models with spatially dependent magnetic fields
• Gradient Gibbs measures and fuzzy transformations on trees

Cited by in corpus (1)

• Gradient Gibbs measures and fuzzy transformations on trees