Coarsening of fractal viscous fingering patterns

We have measured the coarsening due to surface tension of radially grown fractal viscous fingering patterns. The patterns at late times depend on the structural form at the onset of coarsening, providing information on the age of the fractal. The coarsening process is not dynamically scale invariant...

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Bibliographic Details
Published in:Physical review letters 2003-11, Vol.91 (20), p.205504-205504, Article 205504
Main Authors: Sharon, Eran, Moore, Mitchell G, McCormick, William D, Swinney, Harry L
Format: Article
Language:English
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Summary:We have measured the coarsening due to surface tension of radially grown fractal viscous fingering patterns. The patterns at late times depend on the structural form at the onset of coarsening, providing information on the age of the fractal. The coarsening process is not dynamically scale invariant, exhibiting two dynamic length scales that grow as L1(t) approximately t(0.22+/-0.02) and L2(t) approximately t(0.31+/-0.02). The measured exponents are in agreement with the results of recent numerical studies of diffusion-controlled coarsening of a diffusion-limited aggregation fractal [Phys. Rev. E 65, 050501 (2002)]].
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.91.205504