Turkish Journal of Physics
Dynamics of Clusters in Three-Dimensional 3-State Potts Model
Dynamical evaluation of the observables changing per iteration in a Monte Carlo simulation possess vital information about the order of the phase transition occuring in the system ~. Being a global operator, average cluster size is a good candidate to study the order of the phase transition. It is expected that study of cluster dynamics yields indicative information ~[1-3]. In this work cluster algorithm ~[4,5] is used to study the dynamical behavior of the average cluster size in $3$-dimensional 3-state Potts model ~ which is known to exhibit weak first-order transition ~. Cluster size is calculated as the average of 1000 or higher replicas at each Monte Carlo iteration, during first few hundred iterations. Results for different sizes show the first-order character of the phase transition occuring in the model without performing time consuming computations to calculate the equilibrium averages.
YAŞAR, Fatih; GÜNDÜÇ, Yiğit; AYDIN, Meral; and ÇELİK, Tarık (1997) "Dynamics of Clusters in Three-Dimensional 3-State Potts Model," Turkish Journal of Physics: Vol. 21: No. 1, Article 22. Available at: https://journals.tubitak.gov.tr/physics/vol21/iss1/22