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: https://doi.org/10.1103/PhysRevE.82.031127

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.

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About

• Item ORO ID
• 41209
• Item Type
• Journal Item
• ISSN
• 1550-2376
• Project Funding Details

• Funded Project Name	Project ID	Funding Body
  Not Set	Grant Nos. FIS2009-12964-C05-02 and 05	DGI (Ministerio de Educación y Ciencia, Spain)

• Academic Unit or School
• Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
  Faculty of Science, Technology, Engineering and Mathematics (STEM)
• Copyright Holders
• © 2010 The American Physical Society
• Depositing User
• Marc Pradas