New Phase transitions of the Ising model on Cayley trees

Abstract

We show that the nearest neighbors Ising model on the Cayley tree exhibits new temperature driven phase transitions. These transitions holds at various inverse temperatures different from the critical one. They are depicted by a change in the number of Gibbs states as well as by a drastic change of the behavior of free energies at these new transition points.

12 pages, 2 figures

References in corpus (2)

• A manifold of pure Gibbs states of the Ising model on a Cayley tree
• On free energies of the Ising model on the Cayley tree

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