Dynamics of Passive-Scalar Turbulence

Details Dynamics of Passive-Scalar Turbulence Dynamics of Passive-Scalar Turbulence

2004-12-03

arxiv.org/abs/nlin/0412013v3

Phys. Rev. Lett., 95, 144501 (2005)

Nonlinear Sciences

Chaotic Dynamics

published version

Scientific paper

10.1103/PhysRevLett.95.144501

We present the first study of the dynamic scaling or multiscaling of passive-scalar and passive-vector turbulence. For the Kraichnan version of passive-scalar and passive-vector turbulence we show analytically, in both Eulerian and quasi-Lagrangian frameworks, that simple dynamic scaling is obtained but with different dynamic exponents. By developing the multifractal model we show that dynamic multiscaling occurs in passive-scalar turbulence only if the advecting velocity field is itself multifractal. We substantiate our results by detailed numerical simulations in shell models of passive-scalar advection.

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