The growth of one-dimensional islands in two dimensions: Effects of anisotropic diffusion and island sizes on the island density exponent

K. I. MAZZITELLO; H. O. MÁRTIN; J. L. IGUAIN

JOURNAL OF PHYSICS. A - MATHEMATICAL AND GENERAL

IOP PUBLISHING LTD

Año: 1999 vol. 32 p. 4389 - 4396

0305-4470

We study a model of deposition, diffusion and aggregation of particles forming one-dimensional islands in a square lattice. The dependence of the island density exponent chi on the anisotropy diffusion parameter A is analysed. It is found that continuously decreases from chi= (1/3) to chi= (1/4) when A increases from A = 1 to infinity. This nonuniversal behaviour is a direct consequence of the finite island size and, when A>1, the fast diffusion direction is perpendicular to the growth direction of the islands. For infinite anisotropic diffusion, A = infty, the anomalous result chi= 0 is obtained.