Phase transitions in the two-dimensional ferro- and antiferromagnetic potts models on a triangular lattice
The phase transitions in the two-dimensional ferro- and antiferromagnetic Potts models with q = 3 states of spin on a triangular lattice are studied using cluster algorithms and the classical Monte Carlo method. Systems with linear sizes L = 20-120 are considered. The method of fourth-order Binder cumulants and histogram analysis are used to discover that a second-order phase transition occurs in the ferromagnetic Potts model and a first-order phase transition takes place in the antiferromagnetic Potts model. The static critical indices of heat capacity ({alpha}), magnetic susceptibility ({gamma}), magnetization ({beta}), and correlation radius index ({nu}) are calculated for the ferromagnetic Potts model using the finite-size scaling theory.
- OSTI ID:
- 22069226
- Journal Information:
- Journal of Experimental and Theoretical Physics, Vol. 115, Issue 6; Other Information: Copyright (c) 2012 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7761
- Country of Publication:
- United States
- Language:
- English
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