Universality in diffusion front growth dynamics |
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Authors: | A. Hader A. Memsouk Y. Boughaleb |
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Affiliation: | (1) Laboratoire de Physique de la Matière Condensée, Université Hassan II- Mohammedia, Faculté des Sciences Ben M'sik, BP 7955, Casablanca, Morocco, MA |
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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. Received 14 November 2001 / Received in final form 20 April 2002 Published online 31 July 2002 |
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Keywords: | PACS. 05.50.+q Lattice theory and statistics (Ising, Potts, etc.) – 05.60.Cd Classical transport – 68.35.Fx Diffusion interface formation |
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