Fingerprints of Random Flows?

Details Fingerprints of Random Flows? Fingerprints of Random Flows?

2008-09-18

arxiv.org/abs/0809.3120v1

Nonlinear Sciences

Pattern Formation and Solitons

21 pages, 11 figures

Scientific paper

We consider the patterns formed by small rod-like objects advected by a random flow in two dimensions. An exact solution indicates that their direction field is non-singular. However, we find from simulations that the direction field of the rods does appear to exhibit singularities. First, ` scar lines' emerge where the rods abruptly change direction by $\pi$. Later, these scar lines become so narrow that they ` heal over' and disappear, but their ends remain as point singularities, which are of the same type as those seen in fingerprints. We give a theoretical explanation for these observations.

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