Interface dynamics and kinetic roughening in fractals

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Abstract

We consider the dynamics and kinetic roughening of single-valued interfaces in two-dimensional fractal media. Assuming that the local height difference distribution function of the fronts obeys Levý statistics with a well-defined power-law decay exponent, we derive analytic expressions for the local scaling exponents. We also show that the kinetic roughening of the interfaces displays anomalous scaling and multiscaling in the relevant correlation functions. For invasion percolation models, the exponents can be obtained from the fractal geometry of percolation clusters. Our predictions are in excellent agreement with numerical simulations.

Details

Original languageEnglish
Article number052104
Pages (from-to)1-4
JournalPhysical Review E
Volume65
Issue number5
Publication statusPublished - 2002
MoE publication typeA1 Journal article-refereed

    Research areas

  • fractals, interface dynamics, kinetic roughening

ID: 3523832