Universal and Non-Universal First-Passage Properties of Planar Multipole Flows

Details Universal and Non-Universal First-Passage Properties of Planar Multipole Flows Universal and Non-Universal First-Passage Properties of Planar Multipole Flows

1994-06-30

arxiv.org/abs/cond-mat/9406120v1

Phys. Rev. Lett. 74, 82 (1995)

Physics

Condensed Matter

7 pages, LaTeX

Scientific paper

10.1103/PhysRevLett.74.82

The dynamics of passive Brownian tracer particles in steady two-dimensional potential flows between sources and sinks is investigated. The first-passage probability, $p(t)$, exhibits power-law decay with a velocity-dependent exponent in radial flow and an order-dependent exponent in multipolar flows. For the latter, there also occur diffusive ``echo'' shoulders and exponential decays associated with stagnation points in the flow. For spatially extended dipole sinks, the spatial distribution of the collected tracer is independent of the overall magnitude of the flow field.

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