Correlation Function at ${\beta }_t$ in the Disordered Phase of 2D Potts Models

Abstract

We use Monte Carlo simulations to measure the spin-spin correlation function in the disordered phase of two-dimensional $q$-state Potts models with $q=10,15$, and $20$ at the first-order transition point ${\beta }_t$. To extract the correlation length ${\xi }_d$ from the exponential decay of the correlation function over several decades with the desired accuracy we make extensively use of cluster-update techniques and improved estimators. Our results for ${\xi }_d$ are compatible with an analytic formula. As a byproduct we also measure the energy moments in the disordered phase and find very good agreement with a recent large $q$ expansion at ${\beta }_t$.

18 pages, LATEX + 7 postscript files as uuencoded compressed tar file, Mainz preprint JOGU-COMA 2/94

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Cited by in corpus (6)

• Curvature-driven coarsening in the two dimensional Potts model
• 2D Potts Model Correlation Lengths: Numerical Evidence for ${\xi }_o={\xi }_d$ at ${\beta }_t$
• Fisher Zeroes and Singular Behaviour of the Two Dimensional Potts Model in the Thermodynamic Limit
• Correlation Length From Cluster-Diameter Distribution
• Singular Behaviour of the Potts Model in the Thermodynamic Limit
• Monte Carlo Study of Cluster-Diameter Distribution: A New Observable to Estimate Correlation Lengths