Interface dynamics and kinetic roughening in fractals

Loading...
Thumbnail Image
Journal Title
Journal ISSN
Volume Title
School of Science | A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
Date
2002
Major/Subject
Mcode
Degree programme
Language
en
Pages
052104/1-4
Series
Physical Review E, Volume 65, Issue 5
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.
Description
Keywords
two-dimensional fractal media, single-valued interfaces, dynamics, kinetic roughening
Other note
Citation
Asikainen, J. & Majaniemi, S. & Dubé, M. & Ala-Nissilä, Tapio. 2002. Interface dynamics and kinetic roughening in fractals. Physical Review E. Volume 65, Issue 5. P. 052104/1-4. ISSN 1539-3755 (printed). DOI: 10.1103/physreve.65.052104.