A Numerical Study of the 2D Potts Model via the Cluster Algorithm

Authors: Meral AYDIN, Tarık ÇELİK, Yiğit GÜNDÜÇ

Abstract: The two-dimensional q-state Potts model is studied with and without external field using a cluster algorithm. Equilibrium averages, fluctuations in the average cluster size and the histograms for energy, order parameter and the average cluster size are obtained as functions of the temperature. Studying the dynamical evolution of clusters through their size distributions and fluctuations provide helpful information on the order of phase transitions.