Anomalous diffusion of inertial particles in random parallel flows: theory and numerics face to face

The large-scale transport of inertial particles is investigated by means of Lagrangian simulations. Our main focus is on the possible emergence of anomalous diffusion for the class of random parallel flows. For such flows, a perturbative prediction in the limit of small inertia has recently become a...

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Bibliographic Details
Published inJournal of statistical mechanics Vol. 2015; no. 10; pp. P10023 - 21
Main Authors Boi, S, Martins Afonso, M, Mazzino, A
Format Journal Article
LanguageEnglish
Published IOP Publishing and SISSA 21.10.2015
Subjects
Diffusion
Diffusivity
Emergence
Inertia
Inertial
Parallel flow
Statistical mechanics
Transport
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Summary:The large-scale transport of inertial particles is investigated by means of Lagrangian simulations. Our main focus is on the possible emergence of anomalous diffusion for the class of random parallel flows. For such flows, a perturbative prediction in the limit of small inertia has recently become available in the literature. Anomalous diffusion was traced back to the possible divergence of the first-order correction to the eddy diffusivity of the tracer limit. Our numerical results show that the conditions for the emergence of anomalous diffusion are affected by resummations of higher-order perturbative contributions which regularize the resulting diffusion process, thus ruling out the occurrence of anomalous diffusion.
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ISSN:1742-5468
1742-5468
DOI:10.1088/1742-5468/2015/10/P10023