Scaling of Rough Surfaces: Effects of Surface Diffusion on Growth and Roughness Exponents

TL;DR

This paper investigates how surface diffusion influences the growth and roughness exponents of rough surfaces, extending previous models to include multiple diffusion steps and revealing new dependencies.

Contribution

It introduces an extended random deposition model with surface diffusion over multiple neighbors, demonstrating how diffusion length affects surface growth exponents.

Findings

Results align with Family for nearest neighbor diffusion

Growth and roughness exponents depend on diffusion length for larger steps

Surface diffusion significantly impacts surface roughness dynamics

Abstract

Random deposition model with surface diffusion over several next nearest neighbours is studied. The results agree with the results obtained by Family for the case of nearest neighbour diffusion [F. Family, J. Phys. A 19(8), L441, 1986]. However for larger diffusion steps, the growth exponent and the roughness exponent show interesting dependence on diffusion length.