Universal finite-size-scaling amplitudes of the Potts model on a torus
- 1 July 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 38 (1) , 565-579
- https://doi.org/10.1103/physrevb.38.565
Abstract
We derive the exact values of the universal amplitudes associated with the finite-size-scaling behavior of the free energy and interfacial free energies of the Potts model on a torus, by means of the extended-scaling method. These amplitudes vary continuously with the value of the aspect ratio of the torus. Our results make it possible to apply the type of finite-size-scaling techniques that are standard in the context of transfer-matrix calculations to Monte Carlo simulations, and thus enhance the effectiveness of these simulations in establishing the universality class of a phase transition.Keywords
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