Apparent first-order wetting and anomalous scaling in the two-dimensional Ising model
Abstract
The global phase diagram of wetting in the two-dimensional (2d) Ising model is obtained through exact calculation of the surface excess free energy. Besides a surface field for inducing wetting, a surface-coupling enhancement is included. The wetting transition is critical (second order) for any finite ratio of surface coupling J_s to bulk coupling J, and turns first order in the limit J_s/J to infinity. However, for J_s/J much larger than 1 the critical region is exponentially small and practically invisible to numerical studies. A distinct pre-asymptotic regime exists in which the transition displays first-order character. Surprisingly, in this regime the surface susceptibility and surface specific heat develop a divergence and show anomalous scaling with an exponent equal to 3/2.
Keywords
Cite
@article{arxiv.1410.8574,
title = {Apparent first-order wetting and anomalous scaling in the two-dimensional Ising model},
author = {X. T. Wu and D. B. Abraham and J. O. Indekeu},
journal= {arXiv preprint arXiv:1410.8574},
year = {2016}
}
Comments
This new version presents the exact solution and its properties whereas the older version was based on an approximate numerical study of the model