Volume 61, Number 5, March 2003
|Page(s)||625 - 631|
|Section||Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics|
|Published online||01 February 2003|
Persistent patterns in deterministic mixing flows
Department of Physics, University of Potsdam PF 601553, D-14415 Potsdam, Germany
Accepted: 13 December 2002
We present a theoretical approach to the description of persistent passive scalar patterns observed in recent experiments with non-turbulent time-periodic two-dimensional fluid flows. The behaviour of the passive scalar is described in terms of eigenmodes of the evolution operator which coincides with the Frobenius-Perron operator for the corresponding Lagrangian dynamics with small noise; the latter represents the molecular diffusion. The asymptotic behaviour is dominated by the eigenmode with the slowest decay rate, which is shown to be localized in the non-mixing region of the flow.
PACS: 47.52.+j – Fluid dynamics: Chaos / 05.40.Jc – Brownian motion
© EDP Sciences, 2003
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