Steady Stokes flow with long-range correlations, fractal Fourier spectrum, and anomalous transport

Details Steady Stokes flow with long-range correlations, fractal Fourier spectrum, and anomalous transport Steady Stokes flow with long-range correlations, fractal Fourier spectrum, and anomalous transport

2006-09-04

arxiv.org/abs/cond-mat/0609062v1

Phys. Rev. Lett. 89, 244101 (2002)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures, published in Physical Review Letters

Scientific paper

10.1103/PhysRevLett.89.244101

We consider viscous two-dimensional steady flows of incompressible fluids past doubly periodic arrays of solid obstacles. In a class of such flows, the autocorrelations for the Lagrangian observables decay in accordance with the power law, and the Fourier spectrum is neither discrete nor absolutely continuous. We demonstrate that spreading of the droplet of tracers in such flows is anomalously fast. Since the flow is equivalent to the integrable Hamiltonian system with 1 degree of freedom, this provides an example of integrable dynamics with long-range correlations, fractal power spectrum, and anomalous transport properties.

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