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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

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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, Engineering and Medicine > Research Centres > Centre for Complexity Science
Faculty of Science, Engineering and Medicine > 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
Official Date: 23 February 2007
Dates:
DateEvent
23 February 2007Published
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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