Dissipation Statistics of a Passive Scalar in a Multidimensional Smooth Flow |
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| Authors: | Gamba Andrea Kolokolov Igor V |
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| Institution: | (1) Dipartimento di Matematica, Politecnico di Torino, 10129 Torino, Italy;(2) Budker Institute, Novosibirsk, 630090, Russia |
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| Abstract: | We compute analytically the probability distribution function
( ) of the dissipation field =(  )2 of a passive scalar advected by a d-dimensional random flow, in the limit of large Peclet and Prandtl numbers (Batchelor–Kraichnan regime). The tail of the distribution is a stretched exponential: for   , ln
() –(d
2
)1/3. |
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| Keywords: | dissipation statistics passive scalar turbulence intermittency functional integral |
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