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Description of diffusive and propagative behavior on fractals
Campos, Daniel (Universitat Autònoma de Barcelona. Departament de Física)
Méndez López, Vicenç (Universitat Autònoma de Barcelona. Departament de Física)
Fort Viader, Joaquim (Universitat de Girona. Departament de Física)

Data: 2004
Resum: The known properties of diffusion on fractals are reviewed in order to give a general outlook of these dynamic processes. After that, we propose a description developed in the context of the intrinsic metric of fractals, which leads us to a differential equation able to describe diffusion in real fractals in the asymptotic regime. We show that our approach has a stronger physical justification than previous works on this field. The most important result we present is the introduction of a dependence on time and space for the conductivity in fractals, which is deduced by scaling arguments and supported by computer simulations. Finally, the diffusion equation is used to introduce the possibility of reaction-diffusion processes on fractals and analyze their properties. Specifically, an analytic expression for the speed of the corresponding travelling fronts, which can be of great interest for application purposes, is derived.
Drets: Tots els drets reservats.
Llengua: Anglès.
Document: article ; recerca ; publishedVersion
Publicat a: Physical review. E : statistical, nonlinear, and soft matter physics, Vol. 69, Number 3 (March 2004) , p. 031115/1-031115/5, ISSN 1539-3755

DOI: 10.1103/PhysRevE.69.031115

5 p, 54.3 KB

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