Three-Dimensional 3-State Potts Model Revisited With New Techniques

Abstract

We report a fairly detailed finite-size scaling analysis of the first-order phase transition in the three-dimensional 3-state Potts model on cubic lattices with emphasis on recently introduced quantities whose infinite-volume extrapolations are governed `only' by exponentially small terms. In these quantities no asymptotic power series in the inverse volume are involved which complicate the finite-size scaling behaviour of standard observables related to the specific-heat maxima or Binder-parameter minima. Introduced initially for strong first-order phase transitions in q-state Potts models with ``large enough'' q, the new techniques prove to be surprisingly accurate for a q value as small as 3. On the basis of the high-precision Monte Carlo data of Alves `et al.' [Phys. Rev. B43 (1991) 5846], this leads to a refined estimate of ${\beta }_t=0.550,565(10)$ for the infinite-volume transition point.

Comments: 25 pages, LaTeX + 9 postscript figures. Submitted to Nucl. Phys. B. See also http://www.cond-mat.physik.uni-mainz.de/~janke/doc/home_janke.html