Effect of Dilution on First Order Transitions: The Three Dimensional Three States Potts Model

H. G. Ballesteros; L. A. Fernandez; V. Martin-Mayor; A. Munoz Sudupe; G. Parisi; J. J. Ruiz-Lorenzo

doi:10.1103/PhysRevB.61.3215

Effect of Dilution on First Order Transitions: The Three Dimensional Three States Potts Model

Statistical Mechanics 2009-10-31 v1 Disordered Systems and Neural Networks High Energy Physics - Lattice

Authors: H. G. Ballesteros , L. A. Fernandez , V. Martin-Mayor , A. Munoz Sudupe , G. Parisi , J. J. Ruiz-Lorenzo

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Abstract

We have studied numerically the effect of quenched site dilution on a first order phase transition in three dimensions. We have simulated the site diluted three states Potts model studying in detail the second order region of its phase diagram. We have found that the $\nu$ exponent is compatible with the one of the three dimensional diluted Ising model whereas the $\eta$ exponent is definitely different.

Keywords

site dilution first order transition three dimensional potts model phase diagram critical exponents ising model

Cite

@article{arxiv.cond-mat/9906195,
  title  = {Effect of Dilution on First Order Transitions: The Three Dimensional Three States Potts Model},
  author = {H. G. Ballesteros and L. A. Fernandez and V. Martin-Mayor and A. Munoz Sudupe and G. Parisi and J. J. Ruiz-Lorenzo},
  journal= {arXiv preprint arXiv:cond-mat/9906195},
  year   = {2009}
}

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RevTex. 6 pages and 6 postscript figures

Effect of Dilution on First Order Transitions: The Three Dimensional Three States Potts Model

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