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Propagation through fractal media: The Sierpinski gasket and the Koch curve

We present new analytical tools able to predict the averaged behavior of fronts spreading through self-similar spatial systems starting from reaction-diffusion equations. The averaged speed for these fronts is predicted and compared with the predictions from a more general equation (proposed in a previous work of ours) and simulations. We focus here on two fractals, the Sierpinski gasket (SG) and the Koch curve (KC), for two reasons, i.e. i) they are widely known structures and ii) they are deterministic fractals, so the analytical study of them turns out to be more intuitive. These structures, despite their simplicity, let us observe several characteristics of fractal fronts. Finally, we discuss the usefulness and limitations of our approa

© Europhysics Letters, 2004, vol. 68, núm. 6, p. 769-775

EDP Sciences

Author: Campos, Daniel
Fort, Joaquim
Méndez López, Vicenç
Date: 2004
Abstract: We present new analytical tools able to predict the averaged behavior of fronts spreading through self-similar spatial systems starting from reaction-diffusion equations. The averaged speed for these fronts is predicted and compared with the predictions from a more general equation (proposed in a previous work of ours) and simulations. We focus here on two fractals, the Sierpinski gasket (SG) and the Koch curve (KC), for two reasons, i.e. i) they are widely known structures and ii) they are deterministic fractals, so the analytical study of them turns out to be more intuitive. These structures, despite their simplicity, let us observe several characteristics of fractal fronts. Finally, we discuss the usefulness and limitations of our approa
Format: application/pdf
ISSN: 0295-5075 (versió paper)
1286-4854 (versió electrònica)
Document access: http://hdl.handle.net/10256/7869
Language: eng
Publisher: EDP Sciences
Collection: Reproducció digital del document publicat a: http://dx.doi.org/10.1209/epl/i2004-10284-4
Articles publicats (D-F)
Is part of: © Europhysics Letters, 2004, vol. 68, núm. 6, p. 769-775
Rights: Tots els drets reservats
Subject: Fractals
Fluctuacions (Física)
Moviment brownià
Brownian mouvements
Title: Propagation through fractal media: The Sierpinski gasket and the Koch curve
Type: info:eu-repo/semantics/article
Repository: DUGiDocs

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