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

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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.
4 pages, 4 figures, published in Physical Review Letters

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Statistical Mechanics, Fluid Dynamics

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http://salesiana.dossiersoluciones.com/handle/123456789/115974

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0609062
 http://arxiv.org/abs/cond-mat/0609062
 Phys. Rev. Lett. 89, 244101 (2002)
 doi:10.1103/PhysRevLett.89.244101

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