ANOMALOUS SCALING BEHAVIOR IN A SOLID-ON-SOLID MODEL FOR EPITAXIAL-GROWTH

We study the correlation function in a solid-on-solid model for epitax ial growth on one-dimensional substrates. In the transient regime, we find an anomalous situation that the roughness exponent (alpha approxi mate to 1) obtained from the surface width is different from that (alp ha' approximate to 0.75) of the correlation function, which is well de scribed by the scaling hypotheses previously proposed by Schroeder et al. [M. Schroeder, M. Siegert, D. E. Wolf, J. D. Shore, and M. Plischk e, Europhys. Lett. 24, 563 (1993)] and Das Sarma, Ghaisas, and Kim [S. Das Sarma, S. V. Ghaisas, and J. M. Kim, Phys. Rev. E 49, 122 (1994)] . Few have been reported for anomalous scaling behaviors of the correl ation function in growth models with alpha less than or equal to 1. We also measure the surface width for various ranges in a fixed size of system as in experiments. In case a surface width for a very small sca le shows a power-law increase with time, the roughness exponent alpha' measured in experiments should be converted to alpha determining the universality classes.