Surface growth and crossover behaviour in a restricted solid-on-solid model

Abstract

The authors describe results of numerical simulations of growth in a restricted solid-on-solid model. They first extract the exponent beta by comparing the surface width W(t) approximately tbeta with a spatially averaged height correlation function G(t). The latter is shown to give a more accurate estimate for beta , even for relatively small systems. The exponent X is obtained from the saturation of the interface fluctuations in the late time regime. Their results lead to a conjecture of dimension dependent exponents as beta (d)=1/(d+1), X (d)=2(d+2). In addition they study time dependent crossover phenomena by relaxing the local height constraint, and using a noise reduction method in the model. They demonstrate how the effect of such crossover effects may lead to spurious values of the growth exponents. Finally, they discuss their results in relation to other discrete models and the continuum growth equations.