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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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:	Date Event 23 February 2007 Published
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)
Related URLs:	Other Repository

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