40 citations · 239 across the 32 of their papers we have counts for
4 papers · 1 filter
Phase diagrams of lattice models on Cayley tree and chandelier network: a review
H. Akın
The main purpose of this review paper is to give systematically all the known results on phase diagrams corresponding to lattice models (Ising and Potts) on Cayley tree (or Bethe l…
Determination of paramagnetic and ferromagnetic phases of an Ising model on a third-order Cayley tree
H. Akın
In this present paper, the recurrence equations of an Ising model with three coupling constants on a third-order Cayley tree are obtained. Paramagnetic and ferromagnetic phases ass…
Exact description of paramagnetic and ferromagnetic phases of an Ising model on a third-order Cayley tree
Hasan Akin
In this paper we analytically study the recurrence equations of an Ising model with three competing interactions on a Cayley tree of order three. We exactly describe paramagnetic a…
Using New Approaches to obtain Gibbs Measures of Vannimenus model on a Cayley tree
Hasan Akin
In this paper, we consider Vannimenus model with competing nearest-neighbors and prolonged next-nearest-neighbors interactions on a Cayley tree. For this model we define Markov ran…