Microscopic Selection of Fluid Fingering Pattern

Details Microscopic Selection of Fluid Fingering Pattern Microscopic Selection of Fluid Fingering Pattern

2001-01-18

arxiv.org/abs/nlin/0101032v1

Nonlinear Sciences

Pattern Formation and Solitons

6 pages, 5 figures

Scientific paper

10.1103/PhysRevLett.86.4532

We study the issue of the selection of viscous fingering patterns in the limit of small surface tension. Through detailed simulations of anisotropic fingering, we demonstrate conclusively that no selection independent of the small-scale cutoff (macroscopic selection) occurs in this system. Rather, the small-scale cutoff completely controls the pattern, even on short time scales, in accord with the theory of microscopic solvability. We demonstrate that ordered patterns are dynamically selected only for not too small surface tensions. For extremely small surface tensions, the system exhibits chaotic behavior and no regular pattern is realized.

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