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Article Dans Une Revue Journal of Statistical Physics Année : 2013

On free energies of the Ising model on the Cayley tree

Résumé

We present, for the Ising model on the Cayley tree, some explicit formulae of the free energies (and entropies) according to boundary conditions (b.c.). They include translation-invariant, periodic, Dobrushin-like b.c., as well as those corresponding to (recently discovered) weakly periodic Gibbs states. The later are defined through a partition of the tree that induces a 4-edge-coloring. We compute the density of each color.

Dates et versions

hal-00962451 , version 1 (21-03-2014)

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Citer

D. Gandolfo, M. M. Rakhmatullaev, U. A. Rozikov, J. Ruiz. On free energies of the Ising model on the Cayley tree. Journal of Statistical Physics, 2013, 150 (1), pp.1201-1217. ⟨10.1007/s10955-013-0713-0⟩. ⟨hal-00962451⟩
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