Citation

López JM, Pradas M, Hernández-Machado A. Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 2010; 82(3 Pt 1): 031127.

Affiliation

Instituto de Física de Cantabria (IFCA), CSIC-UC, E-39005 Santander, Spain.

Copyright

(Copyright © 2010, American Physical Society, Publisher American Institute of Physics)

DOI

unavailable

PMID

21230045

Abstract

We investigate the complex spatiotemporal dynamics in avalanche driven surface growth by means of scaling theory. We study local activity statistics, avalanche kinetics, and temporal correlations in the global interface velocity, obtaining different scaling relationships among the involved critical exponents depending on how far from or close to a critical point the system is. Our scaling arguments are very general and connect local and global magnitudes through several scaling relationships. We expect our results to be applicable in a wide range of systems exhibiting interface kinetic roughening driven by avalanches of local activity, either critical or not. As an example we apply the scaling theory to analyze avalanches and roughening of forced-flow imbibition fronts in excellent agreement with phase-field numerical integrations.

Language: en