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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). doi:10.1103/PhysRevLett.98.080601 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 | ||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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Divisions: | Faculty of Science, Engineering and Medicine > Research Centres > Centre for Complexity Science Faculty of Science, Engineering and Medicine > Science > Mathematics |
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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 | ||||
Official Date: | 23 February 2007 | ||||
Dates: |
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Volume: | Vol.98 | ||||
Number: | No.8 | ||||
Number of Pages: | 4 | ||||
DOI: | 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) | ||||
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