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

Research output: Contribution to journalArticleResearchpeer-review

5 Citations (Scopus)


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 approach.
Original languageEnglish
Pages (from-to)769-775
JournalEurophysics Letters
Publication statusPublished - 1 Dec 2004


Dive into the research topics of 'Propagation through fractal media: The Sierpinski gasket and the Koch curve'. Together they form a unique fingerprint.

Cite this