Apparent First-Order Wetting and Anomalous Scaling in the Two-Dimensional Ising Model

作者:Wu, X. -T.*; Abraham, D. B.; Indekeu, J. O.
来源:Physical Review Letters, 2016, 116(4): 046101.
DOI:10.1103/PhysRevLett.116.046101

摘要

The global phase diagram of wetting in the two-dimensional Ising model is obtained through the exact calculation of the surface excess free energy. In addition to a surface field for inducing wetting, a surface-coupling enhancement is also included. The wetting transition ( of second order) is critical for any finite ratio of surface coupling J(s) to bulk coupling J, and becomes of first order in the limit J(s)/J -> infinity. However, for J(s)/J >> 1, the critical region is exponentially small and is practically invisible to numerical studies. A distinct preasymptotic regime exists in which the transition displays first-order character. In this regime, surprisingly, the surface susceptibility and surface specific heat develop a divergence and show anomalous scaling with an exponent equal to 3/2.