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 C(l, t) ≈l α f (t/l α/β) with α = 0.62±0.01 and β = 0.39±0.02. 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.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received 14 November 2001 / Received in final form 20 April 2002 Published online 31 July 2002
Rights and permissions
About this article
Cite this article
Hader, A., Memsouk, A. & Boughaleb, Y. Universality in diffusion front growth dynamics. Eur. Phys. J. B 28, 315–319 (2002). https://doi.org/10.1140/epjb/e2002-00235-5
Issue Date:
DOI: https://doi.org/10.1140/epjb/e2002-00235-5