The phase transition of the 3-dimensional 3-state potts model

https://doi.org/10.1016/0920-5632(90)90265-VGet rights and content

Abstract

A preliminary account of a series analysis study of the isotropic 3-dimensional 3-state Potts model is presented. Using the finite lattice method of series expansions, two and three dimensional lattice series expansions are obtained and analysed. An analysis method is developed by studying the two-dimensional series, and this is then applied to the three dimensional series. The three-dimensional model appears to have a first order phase transition, with a discontinuity in the order parameter of 0.365 ±0.03 and a latent heat ΔU/J of 0.28±0.06.

References (11)

  • A.J. Guttmann

    Asymptotic analysis of power series expansions

  • R.R. Brown et al.

    Phys. Rev. Lett.

    (1988)
    P. Bacilieri

    Phys. Rev. Lett.

    (1988)
  • M. Fukugita et al.

    KEK preprint, KEK-TH-228

    (1989)
  • F.R. Brown, First-Order nature of pure gauge SU(3) deconfinement: Proc. Intl. Workshop “LATTICE '89”, Nucl. Phys. B,...
  • G. Parisi, The Deconfining Phase Transition according to APE: Proc. Intl. Workshop “LATTICE '89”, Nucl. Phys. B, Proc....
There are more references available in the full text version of this article.

Cited by (13)

  • Grassmann integrals by machine

    1999, Nuclear Physics B - Proceedings Supplements

  • First-order phase transition with global Z<inf>3</inf> and Z<inf>4</inf> symmetry

    1994, Nuclear Physics B (Proceedings Supplements)

  • First-order phase transition with global Z(3) symmetry

    1994, Nuclear Physics, Section A

  • Yet another way to obtain low temperature expansions for discrete spin systems

    1993, Physics Letters B

  • Large scale numerical simulation of the three-state Potts model

    1993, Nuclear Physics B (Proceedings Supplements)

  • Series Analysis of a Kosterlitz-Thouless Transition: The 6-State Planar Potts Model

    2011, Journal of Statistical Physics
View all citing articles on Scopus
View full text
Copyright © 1990 Published by Elsevier B.V.