2 papers
cond-mat.stat-mech2005
Third and Fourth Order Phase Transitions: Exact Solution for the Ising Model on the Cayley Tree
Borko D. Stosic, Tatijana Stosic, Ivon P. Fittipaldi
An exact analytical derivation is presented, showing that the Ising model on the Cayley tree exhibits a line of third order phase transition points, between temperatures $T_2=2k_B^…
cond-mat.stat-mech2003
Thermodynamic Limit for the Ising Model on the Cayley Tree
B. D. Stosic, T. Stosic, I. P. Fittipaldi
While the Ising model on the Cayley tree has no spontaneous magnetization at nonzero temperatures in the thermodynamic limit, we show that finite systems of astronomical sizes rema…