Interfacial adsorption in two-dimensional Potts models

Abstract

The interfacial adsorption W at the first-order transition in two-dimensional q-state Potts models is studied. In particular, findings of Monte Carlo simulations and of density-matrix renormalization group calculations, at q= 16, are consistent with the analytic result, obtained in the Hamiltonian limit at large values of q, that W \propto t^{-1/3} on approach to the bulk critical temperature T_c, t=|T_c-T|/T_c. In addition, the numerical findings allow to estimate corrections to scaling. Our study supports and specifies a previous conclusion by Bricmont and Lebowitz based on low-temperature expansions.

7 pages, 4 figures, submitted to Journal of Statistical Physics

References in corpus (2)

• Density Profiles, Casimir Amplitudes and Critical Exponents in the Two Dimensional Potts Model: A Density Matrix Renormalization Study
• Boundary and Bulk Phase Transitions in the Two Dimensional Q > 4 State Potts Model

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• Interfacial adsorption in two-dimensional pure and random-bond Potts models
• Coexistence of excited states in confined Ising systems
• Surface critical exponents at a discontinuous bulk transition
• Numerical study of the critical behavior of the Ashkin-Teller model at a line defect
• Phenomenological theory of the Potts model evaporation-condensation transition