PHASES OF THE FERROMAGNETIC POTTS MODEL WITH FIVE STATES ON A FIRST-ORDER BETHE LATTICE

Аннотация:

The Ferromagnetic Potts model with five states on a first-order Bethe lattice is a significant subject in statistical physics and mathematical modeling. This abstract explores the distinct phases exhibited by this model and their implications. The Potts model is a lattice-based statistical mechanics model that generalizes the Ising model to systems with more than two possible states at each lattice site. In this study, we focus on the ferromagnetic variant of the Potts model with five states, which is particularly interesting due to its richer phase behavior. Utilizing the framework of a first-order Bethe lattice, we investigate the phase transitions and critical phenomena exhibited by this model. The Bethe lattice provides a simplified yet powerful structure for studying phase transitions in systems with large coordination numbers.