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  • Title: Anomalous diffusion for inertial particles under gravity in parallel flows.
    Author: Martins Afonso M.
    Journal: Phys Rev E Stat Nonlin Soft Matter Phys; 2014 Jun; 89(6):063021. PubMed ID: 25019893.
    Abstract:
    We investigate the bounds between normal or anomalous effective diffusion for inertial particles transported by parallel flows. The infrared behavior of the fluid kinetic-energy spectrum, i.e., the possible presence of long-range spatiotemporal correlations, is modeled as a power law by means of two parameters, and the problem is studied as a function of these latter. Our results, obtained in the limit of weak relative inertia, extend well-known results for tracers and apply to particles of any mass density, subject to gravity and Brownian diffusion. We consider both steady and time-dependent flows, and cases of both vanishing and finite particle sedimentation.
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