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Phys. Rev. E 80, 050101(R) (2009) [4 pages]

Avalanche dynamics in fluid imbibition near the depinning transition

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Marc Pradas1, Juan M. López2, and A. Hernández-Machado1
1Departament d’Estructura i Constituents de la Matèria, Universitat de Barcelona, Avinguda Diagonal 647, E-08028 Barcelona, Spain
2Instituto de Física de Cantabria (IFCA), CSIC–UC, E-39005 Santander, Spain

Received 13 January 2009; published 4 November 2009

We study avalanche dynamics and local activity of forced-flow imbibition fronts in disordered media. We focus on the front dynamics as the mean velocity of the interface v̅ is decreased and the pinning state is approached. Scaling arguments allow us to obtain the statistics of avalanche sizes and durations, which become power-law distributed due to the existence of a critical point at v̅ =0. Results are compared with phase-field numerical simulations.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.80.050101
DOI:
10.1103/PhysRevE.80.050101
PACS:
05.40.−a, 47.56.+r, 45.70.Ht, 68.35.Ct