arXiv subjects

Ivon P. Fittipaldi

Publications and source records attributed to Ivon P. Fittipaldi.

2 recordsLinked to original sources

arXiv2005

Third and Fourth Order Phase Transitions: Exact Solution for the Ising Model on the Cayley Tree

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^{-1}J\ln ({\sqrt 2}+1) $ and $T_{BP}=k_B^{-1}J\ln (3)$, and a line of fourth order phase transitions between $T_{BP}$ and $\infty$, where $k_B$ is the Boltzmann constant, and $J$ is the nearest-neighbor interaction parameter.

cond-mat.stat-mech↗

arXiv2002

Anomalous Behavior of the Zero Field Susceptibility of the Ising Model on the Cayley Tree

It is found that the zero field susceptibility chi of the Ising model on the Cayley tree exhibits unusually weak divergence at the critical point Tc. The susceptibility amplitude is found to diverge at Tc proportionally to the tree generation level n, while the behavior of chi is otherwise analytic in the vicinity of Tc, with the critical exponent gamma=0.

cond-mat.stat-mech↗