280 citations · 1.3k across the 15 of their papers we have counts for
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Small-scale turbulent dynamo
M. Chertkov, G. Falkovich, I. Kolokolov +1
Kinematic dynamo theory is presented here for turbulent conductive fluids. We describe how inhomogeneous magnetic fluctuations are generated below the viscous scale of turbulence w…
Notes about Passive Scalar in Large-Scale Velocity Field
I. Kolokolov, V. Lebedev, M. Stepanov
We consider advection of a passive scalar theta(t,r) by an incompressible large-scale turbulent flow. In the framework of the Kraichnan model the whole PDF's (probability distribut…
Dissipation statistics of a passive scalar in a multidimensional smooth flow
A. Gamba, I. V. Kolokolov
We compute analytically the probability distribution function of the dissipation field of a passive scalar advected by a -dimensional random…
Inverse cascade and intermittency of passive scalar in 1d smooth flow
M. Chertkov, I. Kolokolov, M. Vegrassola
Random advection of Lagrangian tracer scalar field by a one-dimensional, spatially smooth and short-correlated in time velocity field is considered. Scalar fluctuations ar…
Inverse versus direct cascades in turbulent advection
M. Chertkov, I. Kolokolov, M. Vegrassola
A model of scalar turbulent advection in compressible flow is analytically investigated. It is shown that, depending on the dimensionality of space and the degree of compressib…
Intermittency of Burgers' Turbulence
E. Balkovsky, G. Falkovich, I. Kolokolov +1
We consider the tails of probability density function (PDF) for the velocity that satisfies Burgers equation driven by a Gaussian large-scale force. The saddle-point approximation…