Progress of Theoretical Physics
General Scaling Theory of Magnetization and Susceptibility Profiles for a Semi-Infinite System
Yutaka Okabe, Macoto Kikuchi, Kaoru Ohno
Abstract
We study the critical behavior of the magnetization profile m(z) and the susceptibility profile χ(z) for a semi-infinite system. The scaling property of the surface magnetization ms and the surface susceptibility χs, which are the integrated quantities of m(z) and χ(z) respectively, are calculated for general temperature and magnetic field within the mean-field theory. The Monte Carlo method is applied to the study of ms and χs for a three-dimensional Ising model.