Ordered vs Disordered: Correlation Lengths of 2D Potts Models at β_t

Wolfhard Janke; Stefan Kappler

doi:10.1016/0920-5632(95)00377-L

paper

Ordered vs Disordered: Correlation Lengths of 2D Potts Models at β_t

arXiv:hep-lat/9411078 · doi:10.1016/0920-5632(95)00377-L

Abstract

We performed Monte Carlo simulations of two-dimensional $q$ -state Potts models with $q = 10, 15$ , and $20$ and measured the spin-spin correlation function at the first-order transition point $β_{t}$ in the disordered and ordered phase. Our results for the correlation length $ξ_{d} (β_{t})$ in the disordered phase are compatible with an analytic formula. Estimates of the correlation length $ξ_{o} (β_{t})$ in the ordered phase yield strong numerical evidence that $R \equiv ξ_{o} (β_{t}) / ξ_{d} (β_{t}) = 1$ .

3 pages, uuencoded compressed postscript file, contribution to the LATTICE'94 conference