Dynamic scaling and self-organized criticality in diffusion fronts growth

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作者
A. Memsouk
Y. Boughaleb
R. Nassif
H. Ennamiri
机构
[1] Université Hassan II-Mohammedia,Laboratoire de Physique de la matière Condensée
[2] Faculté des Sciences Ben M'Sik,Laboratoire de Physique de la Matière Condensée
[3] Université Choua¨Doukkali,undefined
[4] Faculté des Sciences,undefined
关键词
PACS. 05.50.+q Lattice theory and statistics (Ising, Potts, etc.) - 05.60.-k Transport processes - 68.35.Fx Diffusion; interface formation;
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摘要
We study the dynamics of the growth process of fluctuating diffusion fronts of interacting particles. The description of the kinetics is based on the mean field master equation within the framework of a lattice gas model. We analyse the time evolution of diffusion fronts by a dynamic scaling approach, and find that the scaling behaviour of these interfaces is characterised by anomalously large exponents which agree with the numerical and experimental results. Using a theoretical model of diffusion fronts' fluctuations developed in [#!ref1!#], we have also illustrated the diffusion fronts' propagation via avalanches.
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页码:137 / 142
页数:5
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