TY - JOUR
T1 - Renormalization theory for eddy diffusivity in turbulent transport
AU - Avellaneda, Marco
AU - Majda, Andrew J.
PY - 1992
Y1 - 1992
N2 - We examine the derivation of eddy-diffusivity equations for transport of passive scalars in a turbulent velocity field. Our main contention is that, in the long-time-large-distance limit, the eddy-diffusivity equations can take very different forms according to the statistical properties of the subgrid velocity, and that these equations depend very sensitively on the interplay between spatial and temporal velocity fluctuations. Such crossovers can be represented in a phase diagram involving two relevant statistical parameters. Strikingly, the Kolmogorov-Obukhov statistical theory is shown to lie on a phase-transition boundary.
AB - We examine the derivation of eddy-diffusivity equations for transport of passive scalars in a turbulent velocity field. Our main contention is that, in the long-time-large-distance limit, the eddy-diffusivity equations can take very different forms according to the statistical properties of the subgrid velocity, and that these equations depend very sensitively on the interplay between spatial and temporal velocity fluctuations. Such crossovers can be represented in a phase diagram involving two relevant statistical parameters. Strikingly, the Kolmogorov-Obukhov statistical theory is shown to lie on a phase-transition boundary.
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U2 - 10.1103/PhysRevLett.68.3028
DO - 10.1103/PhysRevLett.68.3028
M3 - Article
AN - SCOPUS:0001546155
VL - 68
SP - 3028
EP - 3031
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 20
ER -