Diffusion fronts and gradient percolation: A survey

Twenty years ago, Bernard Sapoval suggested that the solders obtained by inter-diffusion of two metals, could have a fractal structure. He, then, initiated simulation calculations based on a lattice gas model, describing the diffusion of non-interacting particles on a square lattice. These ideas are...

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Bibliographic Details
Published inPhysica A Vol. 357; no. 1; pp. 86 - 96
Main Authors Gouyet, Jean-François, Rosso, Michel
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.11.2005
Subjects
Diffusion front
Fractals
Gradient percolation
Gradient percolation
Diffusion front
Fractals
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Summary:Twenty years ago, Bernard Sapoval suggested that the solders obtained by inter-diffusion of two metals, could have a fractal structure. He, then, initiated simulation calculations based on a lattice gas model, describing the diffusion of non-interacting particles on a square lattice. These ideas are nowadays a mainstream field of research, developing in various domains including topics as different as fractal etching, imbibition experiments, fractal structures of polymer interfaces, image treatment, fracture surfaces, urban growth, predatory–prey interaction, etc.
ISSN:0378-4371
1873-2119
DOI:10.1016/j.physa.2005.05.054