Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1996-12-08
Nucl.Phys. B489 (1997) 679-696
Physics
High Energy Physics
High Energy Physics - Lattice
25 pages, LaTeX + 9 postscript figures. Submitted to Nucl. Phys. B. See also http://www.cond-mat.physik.uni-mainz.de/~janke/do
Scientific paper
10.1016/S0550-3213(96)00710-9
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.
Janke Wolfhard
Villanova Ramon
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