Propagation of order in the dilute antiferromagnetic three-state Potts model |
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| Authors: | Roux Stéphane Hansen Alex Guyon Etienne |
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| Affiliation: | (1) Laboratoire d'Hydrodynamique et Mécanique Physique, U.R.A. CNRS 857, Ecole Supérieure de Physique et Chimie Industrielles, F-75231 Paris Cédex 05, France;(2) Present address: Institut für Theoretische Physik, Universität Köln, D-5000 Köln 41, West Germany;(3) Bergen Scientific Centre, N-5000 Bergen, Norway |
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| Abstract: | ![]()
A recent analysis of the propagation of order in a dilute 3-state Potts antiferromagnetic model on a triangular lattice at zero temperature by Adleret al. has shown the importance of nonlocality in the propagation of order. We study a linearized continuous version of this model, which can be mapped onto three independent percolation problems. We discuss the respective roles of nonlocality and nonlinearity, in particular in connection with central-force percolation. |
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| Keywords: | Potts model percolation central-force percolation |
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