Dynamics of Passive-Scalar Turbulence
Chaotic Dynamics
2009-11-10 v3 Statistical Mechanics
Abstract
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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Cite
@article{arxiv.nlin/0412013,
title = {Dynamics of Passive-Scalar Turbulence},
author = {Dhrubaditya Mitra and Rahul Pandit},
journal= {arXiv preprint arXiv:nlin/0412013},
year = {2009}
}
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