Ordered vs Disordered: Correlation Lengths of 2D Potts Models at βt
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 βt in the disordered and ordered phase. Our results for the correlation length d(βt) in the disordered phase are compatible with an analytic formula. Estimates of the correlation length o(βt) in the ordered phase yield strong numerical evidence that R o(βt)/d(βt) = 1.
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