Monte Carlo simulation of a planar Ising model roughening transition

Abstract

Reports Monte Carlo simulations of a 65*65 planar square Ising model with boundary conditions chosen to allow examination of the roughening transition recently described by Abraham (1980). Magnetisation profiles in excellent agreement with the known exact result were obtained. Equilibrium spin pair correlation functions are described: those across the interface which is established show anomalously long-ranged effects. The spin autocorrelation functions show anomalously slow decay.