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Physica A Statistical Mechanics and its Applications

Cluster distributions in two-dimensional q-state Potts model

Y. Gündüç, Tarık Çelik, Meral Aydın

Published Jan 1, 1997• 6 citations
Publisher
DOI
10.1016/s0378-4371(96)00302-0

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Study of Cluster Distributions in Two-dimensional q-State Potts Model

Meral Aydın, Y. Gündüç, Tarık Çelik

Abstract The two-dimensional Potts Model with 2 to 10 states is studied using a cluster algorithm to calculate fluctuations in cluster size, distributions of cluster sizes as well as commonly used quantities like equilibrium averages and the histograms for energy and the order parameter. Results provide information about the variation of cluster sizes depending on the temperature and the number of states. They also give evidence for first-order transition when energy and the order parameter related measurables are inconclusive on small size lattices.

arXiv:hep-lat/9601018•Jan 26, 1996•0 citations
Abstract The two-dimensional Potts Model with 2 to 10 states is studied using a cluster algorithm to calculate fluctuations in cluster size, distributions of cluster sizes as well as commonly used quantities like equilibrium averages and the histograms for energy and the order parameter. Results provide information about the variation of cluster sizes depending on the temperature and the number of states. They also give evidence for first-order transition when energy and the order parameter related measurables are inconclusive on small size lattices.