# Inverse cascade and intermittency of passive scalar in one-dimensional smooth flow

@article{Chertkov1997InverseCA, title={Inverse cascade and intermittency of passive scalar in one-dimensional smooth flow}, author={Michael Chertkov and Igor V. Kolokolov and M. Vegrassola}, journal={Physical Review E}, year={1997}, volume={56}, pages={5483-5499} }

Random advection of a Lagrangian tracer scalar field $\ensuremath{\theta}(t,x)$ by a one-dimensional, spatially smooth and short-correlated in time velocity field is considered. Scalar fluctuations are maintained by a source concentrated at the integral scale $L.$ The statistical properties of both scalar differences and the dissipation field are analytically determined, exploiting the dynamical formulation of the model. The Gaussian statistics known to be present at small scales for…

## 40 Citations

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- 2015

In this paper, we investigated the statistical differences between active and passive scalars in isotropic compressible turbulence. In the inertial range, the kinetic energy and scalar have the…

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The existence of additional regimes, which could not be found using the direct perturbative approach of the previous work, are explored, and the crossover between different regimes is analyzed to determine them near the special value of space dimension 4 in the framework of double y and ɛ expansion.

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