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Warm cascades and anomalous scaling in a diffusion model of turbulence
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UNSPECIFIED. (2004) Warm cascades and anomalous scaling in a diffusion model of turbulence. PHYSICAL REVIEW LETTERS, 92 (4). -. ISSN 0031-9007
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Official URL: http://dx.doi.org/10.1103/PhysRevLett.92.044501
Abstract
A phenomenological turbulence model in which the energy spectrum obeys a nonlinear diffusion equation is analyzed. The general steady state contains a nonlinear mixture of the constant-flux Kolmogorov and fluxless thermodynamic components. Such "warm cascade" solutions describe a bottleneck phenomenon of spectrum stagnation near the dissipative scale. Transient self-similar solutions describing a finite-time formation of steady cascades are analyzed and found to exhibit nontrivial scaling behavior.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QC Physics |
| Journal or Publication Title: | PHYSICAL REVIEW LETTERS |
| Publisher: | AMERICAN PHYSICAL SOC |
| ISSN: | 0031-9007 |
| Date: | 30 January 2004 |
| Volume: | 92 |
| Number: | 4 |
| Number of Pages: | 4 |
| Page Range: | - |
| Identification Number: | 10.1103/PhysRevLett.92.044501 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/8810 |
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