The two-dimensional Ports model with 2 to 10 states is studied using a cluster algorithm to calculate fluctuations in cluster size 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 c
Cluster distributions in two-dimensional q-state Potts model
✍ Scribed by Yiğit Gündüç; Tarik Çelik; Meral Aydin
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 313 KB
- Volume
- 234
- Category
- Article
- ISSN
- 0378-4371
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✦ Synopsis
Two-dimensional Potts model with q = 2 10 states is studied using a cluster algorithm to investigate the distributions of cluster sizes. Results concerning the distribution of clusters depending on the temperature and the number of states give supporting evidence for the order of the transition when energy and the order parameter related measurables are inconclusive on small size lattices.
📜 SIMILAR VOLUMES
The scaling behavior of fluctuations in cluster size is studied in q = 5 and 7 state Potts models. This quantity exhibits scaling behavior on small lattices where the scaling of local operators like energy fluctuations and Binder cumulant cannot be expected.
## Abstract The thermodynamics of the __q__‐state Potts model is calculated by the cluster approximation. With two, three, and four particles as the basic cluster the free energy is obtained for any __q__. It is found that the transition is of the first order for all two‐dimensional and three‐dimen
Dynamical behavior of clusters during relaxation is studied in the two-dimensional Potts model using a cluster algorithm. Average cluster size and cluster formation velocity are calculated on two different lattice sizes for different number of states during initial stages of the Monte Carlo simulati