Eur. Phys. J. B 28, 315-319 (2002)
https://doi.org/10.1140/epjb/e2002-00235-5

Universality in diffusion front growth dynamics

Laboratoire de Physique de la Matière Condensée, Université Hassan II- Mohammedia, Faculté des Sciences Ben M'sik, BP 7955, Casablanca, Morocco

Corresponding author: ^a yboughaleb@yahoo.fr

Received: 14 November 2001
Revised: 20 April 2002
Published online: 31 July 2002

Abstract

We have studied the scaling properties of diffusion fronts by numerical calculations based on the mean field approach in the context of a lattice gas model, performed in a triangular lattice. We find that the height-height correlation function scales with time t and length l as with and . These exponent values are identical to those characterising the roughness of the diffusion fronts evolving through a square lattice [1,2], thus confirming their universality.