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Activity statistics, avalanche kinetics, and velocity correlations in surface growth

López, Juan M.; Pradas, Marc and Hernández-Machado, A. (2010). Activity statistics, avalanche kinetics, and velocity correlations in surface growth. Physical Review E, 82(3) 031127.

DOI (Digital Object Identifier) Link: https://doi.org/10.1103/PhysRevE.82.031127
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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.

Item Type: Journal Item
Copyright Holders: 2010 The American Physical Society
ISSN: 1550-2376
Project Funding Details:
Funded Project NameProject IDFunding Body
Not SetGrant Nos. FIS2009-12964-C05-02 and 05DGI (Ministerio de Educación y Ciencia, Spain)
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 41209
Depositing User: Marc Pradas
Date Deposited: 30 Oct 2014 12:32
Last Modified: 07 Dec 2018 10:26
URI: http://oro.open.ac.uk/id/eprint/41209
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