Interface dynamics and kinetic roughening in fractals

Tutkimustuotos: Lehtiartikkelivertaisarvioitu

Tutkijat

Organisaatiot

Kuvaus

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.

Yksityiskohdat

AlkuperäiskieliEnglanti
Artikkeli052104
Sivut1-4
JulkaisuPhysical Review E
Vuosikerta65
Numero5
TilaJulkaistu - 2002
OKM-julkaisutyyppiA1 Julkaistu artikkeli, soviteltu

    Tutkimusalat

  • fractals, interface dynamics, kinetic roughening

ID: 3523832