Two complementary descriptions of intermittency

Abstract

We describe two complementary formalisms designed for the description of probability density function (PDF) of the gradients of turbulent fields. The first approach, we call it adiabatic, describes PDF at the values much less than dispersion. The second, instanton, approach gives the tails of PDF at the values of the gradient much larger than dispersion. Together, both approaches give satisfactory description of gradient PDFs, as illustrated here by an example of a passive scalar advected by a one-dimensional compressible random flow.

4 pages, RevTeX, submitted to PRE

References in corpus (3)

• Inverse cascade and intermittency of passive scalar in 1d smooth flow
• Single-point velocity distribution in turbulence
• Structures and intermittency in a passive scalar model

Cited by in corpus (6)

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• Instanton for the Kraichnan Passive Scalar Problem
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• Persisting asymmetry in the probability distribution function for a random advection-diffusion equation in impermeable channels
• Large Deviation Approach to the Randomly Forced Navier-Stokes Equation