Anomalous scaling of a randomly advected passive scalar

Journal Article · Mon Feb 14 04:00:00 EST 1994 · Physical Review Letters; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.72.1016· OSTI ID:5202020

Kraichnan, R H ^[1]

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1. 369 Montezuma 108, Santa Fe New Mexico (United States)

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] .

• DOE Contract Number: FG03-90ER14118
• OSTI ID: 5202020
• Journal Information: Physical Review Letters; (United States), Journal Name: Physical Review Letters; (United States) Vol. 72:7; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

665000* -- Physics of Condensed Matter-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ADVECTION
DIFFUSION
FLUID FLOW
MANY-BODY PROBLEM
MASS TRANSFER
MOLECULES
MOMENT OF INERTIA
RANDOMNESS
SCALARS
SCALING LAWS
TURBULENT FLOW
TWO-BODY PROBLEM
VELOCITY