Thursday, November 29, 2012

1211.6648 (D. Gandolfo et al.)

On free energies of the Ising model on the Cayley tree    [PDF]

D. Gandolfo, M. M. Rakhmatullaev, U. A. Rozikov, J. Ruiz
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.
View original:

No comments:

Post a Comment