34 citations · 58 across the 3 of their papers we have counts for
3 papers
math-ph2013★ 23 cited
New Phase transitions of the Ising model on Cayley trees
D. Gandolfo, F. H. Haydarov, U. A. Rozikov +1
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 differe…
math-ph2012★ 34 cited
On free energies of the Ising model on the Cayley tree
D. Gandolfo, M. M. Rakhmatullaev, U. A. Rozikov +1
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-in…
math-ph2012★ 1 cited
On four state Hard Core Models on the Cayley Tree
D. Gandolfo, U. A. Rozikov, J. Ruiz
We consider a nearest-neighbor four state hard-core (HC) model on the homogeneous Cayley tree of order . The Hamiltonian of the model is considered on a set of "admissible" conf…