Potts model on directed complex networks

Abstract

A large amount of information about the behavior of real, physical systems can be described using simple models supplied from statistical physics. This is occur due to the phenomenon of universality near a second-order phase transition where the behavior critical of the system only depends on a few parameters like the dimensionality and global symmetries of the system. Because of this, elementary models like the Ising model remain of great importance. The Potts model is a generalization of the simplest Ising model in statistical mechanics for systems with more than two opinions (yes or not).