A manifold of pure Gibbs states of the Ising model on a Cayley tree

Daniel Gandolfo (1) , Jean Ruiz (1) , Senya Shlosman (1)

1 CPT - Centre de Physique Théorique - UMR 7332

We study the Ising model on a Cayley tree. A wide class of new Gibbs states is exhibited.

Mots clés: Ising model; Cayley tree; Gibbs states

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]

Daniel Gandolfo, Jean Ruiz, Senya Shlosman. A manifold of pure Gibbs states of the Ising model on a Cayley tree. Journal of Statistical Physics, 2012, 148 (06), pp.999-1005. ⟨10.1007/s10955-012-0574-y⟩. ⟨hal-00714542⟩