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Constant flux relation for driven dissipative systems
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Connaughton, Colm, Rajesh, R. and Zaboronski, Oleg V.. (2007) Constant flux relation for driven dissipative systems. Physical Review Letters, Vol.98 (No.8). ISSN 0031-9007
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Official URL: http://dx.doi.org/10.1103/PhysRevLett.98.080601
Abstract
Conservation laws constrain the stationary state statistics of driven dissipative systems because the average flux of a conserved quantity between driving and dissipation scales should be constant. This requirement leads to a universal scaling law for flux-measuring correlation functions, which generalizes the 4/5th law of Navier-Stokes turbulence. We demonstrate the utility of this simple idea by deriving new exact scaling relations for models of aggregating particle systems in the fluctuation-dominated regime and for energy and wave action cascades in models of strong wave turbulence.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
| Divisions: | Faculty of Science > Centre for Complexity Science Faculty of Science > Mathematics |
| Library of Congress Subject Headings (LCSH): | Turbulence, Energy conservation, Dynamics of a particle |
| Journal or Publication Title: | Physical Review Letters |
| Publisher: | American Physical Society |
| ISSN: | 0031-9007 |
| Date: | 23 February 2007 |
| Volume: | Vol.98 |
| Number: | No.8 |
| Number of Pages: | 4 |
| Identification Number: | 10.1103/PhysRevLett.98.080601 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| Funder: | United States. Dept. of Energy |
| Grant number: | DE-AC52-06NA25396 (DoE) |
| Related URLs: | |
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| URI: | http://wrap.warwick.ac.uk/id/eprint/32333 |
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