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Anomalous scaling of a randomly advected passive scalar

Solenoidal advection in [ital d] dimensions may induce inertial-range behavior [l angle][vert bar][ital T]([bold x],[ital t])[minus][ital T]([bold x]+[bold r],[ital t])[vert bar][sup [ital n]][r angle][proportional to][ital r][sup [zeta][ital n]([ital T])] of a passive scalar field [ital T]([bold x]...

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Published in:	Physical review letters 1994-02, Vol.72 (7), p.1016-1019
Main Author:	Kraichnan, RH
Format:	Article
Language:	English
Subjects:	665000 - Physics of Condensed Matter- (1992-) ADVECTION CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY DIFFUSION FLUID FLOW MANY-BODY PROBLEM MASS TRANSFER MOLECULES MOMENT OF INERTIA RANDOMNESS SCALARS SCALING LAWS TURBULENT FLOW TWO-BODY PROBLEM VELOCITY
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cited_by	cdi_FETCH-LOGICAL-c446t-21b20ed8c41a48bcfc518abbba7024cc667857565c836309221007ed897b144a3
cites	cdi_FETCH-LOGICAL-c446t-21b20ed8c41a48bcfc518abbba7024cc667857565c836309221007ed897b144a3
container_end_page	1019
container_issue	7
container_start_page	1016
container_title	Physical review letters
container_volume	72
creator	Kraichnan, RH
description	Solenoidal advection in [ital d] dimensions may induce inertial-range behavior [l angle][vert bar][ital T]([bold x],[ital t])[minus][ital T]([bold x]+[bold r],[ital t])[vert bar][sup [ital n]][r angle][proportional to][ital r][sup [zeta][ital n]([ital T])] of a passive scalar field [ital T]([bold x],[ital t]). If the velocity field changes very rapidly in time, the [zeta][sub [ital n]]([ital T]) are determined by the two-particle eddy-diffusion coefficient [eta]([ital r])[proportional to][ital r][sup [zeta]([eta])]. An approximation to the molecular-diffusion terms yields [zeta][sub [ital n]]([ital T])=1/2 [radical]2[ital nd][2[minus][zeta]([eta])]+[alpha][sup 2] [minus]1/2[alpha] where [alpha]=[ital d]+[zeta]([eta])[minus]2. As [ital n][r arrow][infinity], [zeta][sub [ital n]]([ital T])[proportional to] [radical][ital nd] .
doi_str_mv	10.1103/physrevlett.72.1016
format	article
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If the velocity field changes very rapidly in time, the [zeta][sub [ital n]]([ital T]) are determined by the two-particle eddy-diffusion coefficient [eta]([ital r])[proportional to][ital r][sup [zeta]([eta])]. An approximation to the molecular-diffusion terms yields [zeta][sub [ital n]]([ital T])=1/2 [radical]2[ital nd][2[minus][zeta]([eta])]+[alpha][sup 2] [minus]1/2[alpha] where [alpha]=[ital d]+[zeta]([eta])[minus]2. 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If the velocity field changes very rapidly in time, the [zeta][sub [ital n]]([ital T]) are determined by the two-particle eddy-diffusion coefficient [eta]([ital r])[proportional to][ital r][sup [zeta]([eta])]. An approximation to the molecular-diffusion terms yields [zeta][sub [ital n]]([ital T])=1/2 [radical]2[ital nd][2[minus][zeta]([eta])]+[alpha][sup 2] [minus]1/2[alpha] where [alpha]=[ital d]+[zeta]([eta])[minus]2. 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subjects	665000 - Physics of Condensed Matter- (1992-) ADVECTION CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY DIFFUSION FLUID FLOW MANY-BODY PROBLEM MASS TRANSFER MOLECULES MOMENT OF INERTIA RANDOMNESS SCALARS SCALING LAWS TURBULENT FLOW TWO-BODY PROBLEM VELOCITY
title	Anomalous scaling of a randomly advected passive scalar
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