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Correlation function at βt in the disordered phase of 2D Potts models

Wolfhard Janke E, Stefan Kappler

arXiv:hep-lat/9410019Physics Letters AJan 1, 199512 citations

Correlation length of 2D Potts models: numerical vs exact results

Wolfhard Janke E, Stefan Kappler

Nuclear Physics B - Proceedings SupplementsApr 1, 199412 citations

A study of the correlation length near a first-order phase transition: The three-dimensional three-state Potts model

Rajiv V. Gavai, F. Karsch, Bengt Petersson

Nuclear Physics BAug 1, 198987 citations

2D Potts-Model Correlation Lengths: Numerical Evidence for ξ o = ξ d at β t

W Janke, S Kappler

We have studied spin-spin correlation functions in the ordered phase of the two-dimensional q -state Potts model with q = 10, 15, and 20 at the first-order transition point β t . Through extensive Monte Carlo simulations we obtain strong numerical evidence that the correlation length in the ordered phase agrees with the exactly known and recently numerically confirmed correlation length in the disordered phase: ξ o (β t ) = ξ d (β t ). As a by-product we find the energy moments in the ordered phase at β t in very good agreement with a recent large q -expansion.We have studied spin-spin correlation functions in the ordered phase of the two-dimensional q -state Potts model with q = 10, 15, and 20 at the first-order transition point β t . Through extensive Monte Carlo simulations we obtain strong numerical evidence that the correlation length in the ordered phase agrees with the exactly known and recently numerically confirmed correlation length in the disordered phase: ξ o (β t ) = ξ d (β t ). As a by-product we find the energy moments in the ordered phase at β t in very good agreement with a recent large q -expansion.

arXiv:hep-lat/9509056Europhysics Letters (EPL)Sep 1, 199515 citations

An explicit formula for the interface tension of the 2D Potts model

Christian Borgs, Wolfhard Janke E

We consider the exact correlation length calculations for the two-dimensional Potts model at the transition point βt by Klümper, Schadschneider and Zittartz, and by Buffenoir and Wallon. We argue that the correlation length calculated by the latter authors is the correlation length in the disordered phase and then combine their result with duality and the assumption of complete wetting to give an explicit formula for the order-disorder interface tension σod of this model. The result is used to clarify a controversy stemming from different numerical simulations of σod.We consider the exact correlation length calculations for the two-dimensional Potts model at the transition point βt by Klümper, Schadschneider and Zittartz, and by Buffenoir and Wallon. We argue that the correlation length calculated by the latter authors is the correlation length in the disordered phase and then combine their result with duality and the assumption of complete wetting to give an explicit formula for the order-disorder interface tension σod of this model. The result is used to clarify a controversy stemming from different numerical simulations of σod.

Journal de Physique INov 1, 199269 citations

Correlation functions for the 2D random bonds Potts models

Vladimir S. Dotsenko, Marco Picco, Pierre Pujol

arXiv:cond-mat/9509149Nuclear Physics B - Proceedings SupplementsJan 1, 19963 citations

Ordered vs disordered: Correlation lengths of 2D Potts models at β

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Ordered vs disordered: Correlation lengths of 2D Potts models at β

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