Statistical description of domains in the Potts model

The Zipf power law and its connection with the inhomogeneity of the system is investigated. We describe the statistical distributions of the domain masses in the Potts model near the temperature-induced phase transition. We found that the statistical distribution near the critical point is described by the power law form with a long tail, while beyond the critical point the power law tail is suppressed. We use the Potts model [1] for the description of the phase transition. The Potts model is the generalization of the Ising model with more than two spin components and it has more experimental realizations than the Ising model. For a detailed review of Potts model see [2]. The Hamiltonian for the q−state Potts model [2] is: H = − ∑