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We have studied spin-spin correlation functions in the ordered phase of thetwo-dimensional $q$-state Potts model with $q=10$, 15, and 20 at thefirst-order transition point $\beta_t$. Through extensive Monte Carlosimulations we obtain strong numerical evidence that the correlation length inthe ordered phase agrees with the exactly known and recently numericallyconfirmed correlation length in the disordered phase: $\xi_o(\beta_t) =\xi_d(\beta_t)$. As a byproduct we find the energy moments in the ordered phaseat $\beta_t$ in very good agreement with a recent large $q$-expansion.

2D Potts-Model Correlation Lengths: Numerical Evidence for ξ o = ξ d at β t

2D Potts-Model Correlation Lengths: Numerical Evidence for ξ _o = ξ _d at β _t