MONTE-CARLO STUDY OF SURFACE PHASE-TRANSITIONS IN THE 3-DIMENSIONAL ISING-MODEL

We present the results of extensive Monte Carlo simulations of phase transitions and critical behavior at the surface of a simple cubic Ising model. Profiles of the magnetization and internal energy are determined as a function of the distance from the surface, and we extract surface and bulk properties as a function of temperature and surface coupling Js. The surface-bulk multicritical point is located with improved precision, Js/J=1.520.02, and crossover behavior is studied. New estimates for critical exponents are extracted, 1=0.780.06, 1m=1.410.14, 11m=0.960.09, and along with critical amplitude ratios these are compared with theoretically predicted values. © 1990 The American Physical Society.