Universal decay of scalar turbulence

Abstract

The asymptotic decay of passive scalar fields is solved analytically for the Kraichnan model, where the velocity has a short correlation time. At long times, two universality classes are found, both characterized by a distribution of the scalar -- generally non-Gaussian -- with global self-similar evolution in time. Analogous behavior is found numerically with a more realistic flow resulting from an inverse energy cascade.

4 pages, 3 Postscript figures, submitted to PRL

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Cited by in corpus (13)

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• Burgers Turbulence
• A reversible mesoscopic model of diffusion in liquids: from giant fluctuations to Fick's law
• The Decay of Passive Scalars Under the Action of Single Scale Smooth Velocity Fields in Bounded 2D Domains : From non self similar pdf's to self similar eigenmodes
• Decay of scalar turbulence revisited
• The decay of homogeneous anisotropic turbulence
• Dynamo effect in the Kraichnan magnetohydrodynamic turbulence
• Diffusion of passive scalar in a finite-scale random flow
• Self-similar turbulent dynamo
• Phase-space entropy cascade and irreversibility of stochastic heating in nearly collisionless plasma turbulence
• Probability Density Functions of Decaying Passive Scalars in Periodic Domains : An Application of Sinai-Yakhot Theory
• Small-Scale Kinematic Dynamo and Non-Dynamo in Inertial-Range Turbulence
• Passive scalar mixing and decay at finite correlation times in the Batchelor regime