Aperiodicity-Induced Second-Order Phase Transition in the 8-State Potts Model
Statistical Mechanics
2009-10-30 v1
Abstract
We investigate the critical behavior of the two-dimensional 8-state Potts model with an aperiodic distribution of the exchange interactions between nearest-neighbor rows. The model is studied numerically through intensive Monte Carlo simulations using the Swendsen-Wang cluster algorithm. The transition point is located through duality relations, and the critical behavior is investigated using FSS techniques at criticality. For strong enough fluctuations of the aperiodic sequence under consideration, a second order phase transition is found. The exponents and are obtained at the new fixed point.
Cite
@article{arxiv.cond-mat/9711205,
title = {Aperiodicity-Induced Second-Order Phase Transition in the 8-State Potts Model},
author = {Pierre Emmanuel Berche and Christophe Chatelain and Bertrand Berche},
journal= {arXiv preprint arXiv:cond-mat/9711205},
year = {2009}
}
Comments
LaTeX file with Revtex, 4 pages, 5 eps figures, to appear in Phys. Rev. Lett