The Library

Constant flux relation for driven dissipative systems

Tools

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

Preview

PDF
WRAP_Connaughton_Constant_flux_relation_0607656v2.pdf - Submitted Version - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
Download (175Kb)

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

Official Date:

23 February 2007

Dates:

Date	Event
23 February 2007	Published

Volume:

Vol.98

Number:

No.8

Number of Pages:

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:

Other Repository

References:

[1] U. Frisch, Turbulence: The Legacy of A. N. Kolmogorov
(Cambridge University Press, Cambridge, 1995).
[2] A. N. Kolmogorov, Dokl. Akad. Nauk. SSSR 32, 16
(1941), reprinted in Proc. Roy. Soc. Lond. A, 434, 15-
17, (1991).
[3] L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Pergamon
Press, London, 1987), 2nd ed.
[4] G. Falkovich, K. Gawedzki, and M. Vergassola, Rev.
Modern Phys. 73, 913 (2001).
[5] G. Falkovich, in Encyclopedia of Nonlinear Science,
edited by A. Scott (Routledge, New York and London,
2004).
[6] C. Connaughton, R. Rajesh, and O. Zaboronski, Physica
D 222, 97 (2006).
[7] V. Zakharov, V. Lvov, and G. Falkovich, Kolmogorov
Spectra of Turbulence (Springer-Verlag, Berlin, 1992).
[8] A. Newell, S. Nazarenko, and L. Biven, Physica D 152-
153, 520 (2001).
[9] P. L. Krapivsky, J. F. F. Mendes, and S. Redner, Phys.
Rev. B 59, 15950 (1999).
[10] A. E. Scheidegger, Bull. I. A. S. H. 12, 15 (1967).
[11] P. S. Dodds and D. H. Rothman, Phys. Rev. E 59, 4865
(1999).
[12] S. N. Coppersmith, C. Liu, S. Majumdar, O. Narayan,
and T. A. Witten, Phys. Rev. E 53, 4673 (1996).
[13] S. N. Majumdar, S. Krishnamurthy, and M. Barma,
Phys. Rev. E 61, 6337 (2000).
[14] R. Rajesh, Phys. Rev. E 69, 036128 (2004).
[15] D. Dhar, preprint arXiv:cond-mat/9909009 (1999).
[16] D. Dhar and R. Ramaswamy, Phys. Rev. Lett. 63, 1659
(1989).
[17] V. S. Zakharov, F. Dias, and A. Pushkarev, Phys. Rep.
398, 1 (2004).
[18] E. Kuznetsov and V. Lvov, Physica D 2, 203 (1981).
[19] R. H. Kraichnan, Phys. Fluids 10, 1417 (1967).
[20] C. Connaughton, R. Rajesh, and O. Zaboronski, Phys.
Rev. E 69, 061114 (2004).
[21] R. Rajesh and S. N. Majumdar, Phys. Rev. E 62, 3186
(2000).