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Probability distribution of power fluctuations in turbulence
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Bandi, M. M., Chumakov, Sergei G. and Connaughton, Colm (2009) Probability distribution of power fluctuations in turbulence. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), Vol.79 (No.1 Part 2). Article no.016309. doi:10.1103/PhysRevE.79.016309 ISSN 1539-3755.
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Official URL: http://dx.doi.org/10.1103/PhysRevE.79.016309
Abstract
We study local power fluctuations in numerical simulations of stationary, homogeneous, isotropic turbulence in two and three dimensions with Gaussian forcing. Due to the near-Gaussianity of the one-point velocity distribution, the probability distribution function (pdf) of the local power is well modeled by the pdf of the product of two joint normally distributed variables. In appropriate units, this distribution is parametrized only by the mean dissipation rate, epsilon. The large deviation function for this distribution is calculated exactly and shown to satisfy a fluctuation relation (FR) with a coefficient which depends on epsilon. This FR is entirely statistical in origin. The deviations from the model pdf are most pronounced for positive fluctuations of the power and can be traced to a slightly faster than Gaussian decay of the tails of the one-point velocity pdf. The resulting deviations from the FR are consistent with several recent experimental studies.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QC Physics | ||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
| Journal or Publication Title: | Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) | ||||
| Publisher: | American Physical Society | ||||
| ISSN: | 1539-3755 | ||||
| Official Date: | January 2009 | ||||
| Dates: |
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| Volume: | Vol.79 | ||||
| Number: | No.1 Part 2 | ||||
| Number of Pages: | 5 | ||||
| Page Range: | Article no.016309 | ||||
| DOI: | 10.1103/PhysRevE.79.016309 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access | ||||
| Funder: | National Nuclear Security Administration of the U. S. Department of Energy at Los Alamos National Laboratory | ||||
| Grant number: | DE-AC52-06NA25396 |
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