Convection-enhanced diffusion for random flows | Zendy

Albert Fannjiang | Zendy; George Papanicolaou | Zendy

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Convection-enhanced diffusion for random flows

Author(s) -

Albert Fannjiang,

George Papanicolaou

Publication year - 1997

Publication title -

journal of statistical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.71

H-Index - 115

eISSN - 1572-9613

pISSN - 0022-4715

DOI - 10.1007/bf02732425

Subject(s) - thermal diffusivity , péclet number , scalar (mathematics) , statistical physics , convection , percolation (cognitive psychology) , convection–diffusion equation , physics , diffusion , mathematics , mechanics , thermodynamics , geometry , neuroscience , biology

We analyze the effective diffusivity of a passive scalar in a two dimensional, steady, incompressiblerandom flow that has mean zero and a stationary stream function. We show that in thelimit of small diffusivity or large Peclet number, with convection dominating, there is substantialenhancement of the effective diffusivity. Our analysis is based on some new variational principlesfor convection diffusion problems [5,9] and on some facts from continuum percolation theory, someof which are...

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