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

Aernout C. D. van Enter; Eric Ossami Endo; Rodrigo Bissacot

arxiv: 1611.00424 · v1 · pith:X2XYYKRWnew · submitted 2016-11-01 · 🧮 math-ph · cond-mat.stat-mech· math.MP· math.PR

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 This is my paper

classification 🧮 math-ph cond-mat.stat-mechmath.MPmath.PR

keywords externalfieldscayleyisingmodelphaseresultstransition

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

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