Fluctuations in the irreversible decay of turbulent energy

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 56, Issue 5, 1997, Pages 5413-5422

  Eyink, Gregory L ^a  

^a University of Arizona   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CORRELATION METHODS; DIFFERENTIATION (CALCULUS); ENERGY DISSIPATION; LINEARIZATION; MATHEMATICAL MODELS; PROBABILITY DENSITY FUNCTION; RANDOM PROCESSES; REYNOLDS NUMBER; STATISTICAL MECHANICS; TURBULENT FLOW; VARIATIONAL TECHNIQUES;

ENERGY HISTORY FLUCTUATION; FLUCTUATION DISSIPATION RELATION; LANGEVIN EQUATION; MEAN ENERGY DECAY THEORY; VARIATIONAL PRINCIPLE;

TURBULENCE;

EID: 0031275808     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.56.5413     Document Type: Article

References (26)

1. A S. Monin and A M. Yaglom, Statistical Fluid Mechanics (MIT Press, Cambridge, MA, 1975), Vol. 2.
2. T. von Kármán and L. Howarth, Proc. R. Soc. London, Ser. A164, 92 (1938).PRLAAZ
3. A N. Kolmogorov, Dokl. Acad. Nauk. SSSR31, 538 (1941) [English translation in C. R. Acad. Sci. URSS 31, 538 (1941)].
4. I. Proudman and W H. Reid, Philos. Trans. R. Soc. London, Ser. A247, 163 (1954).PTRMAD
5. S A. Orszag, in Fluid Dynamics, Les Houches 1973, edited by R. Balian and J. L. Peube (Gordon and Breach, New York, 1977).
6. W C. Reynolds, Annu. Rev. Fluid Mech.8, 183 (1976).ARVFA3
7. U. Frisch, Turbulence (Cambridge University Press, Cambridge, England, 1995).
8. G L. Eyink and F J. Alexander, Phys. Rev. Lett.78, 2563 (1997).PRLTAO
9. L. Onsager, Phys. Rev.37, 405 (1931)
10. 38, 2265 (1931).
11. L. Onsager and S. Machlup, Phys. Rev.91, 1505 (1953)
12. 91, 1512 (1953).
13. G L. Eyink, J. Stat. Phys.83, 955 (1996).JSTPBS
14. G L. Eyink, Phys. Rev. E54, 3419 (1996).PLEEE8
15. H. Chen, S. Chen, and R H. Kraichnan, Phys. Rev. Lett.65, 575 (1990).PRLTAO
16. T. Gotoh and R H. Kraichnan, Phys. Fluids A5, 445 (1992).PFADEB
17. D C. Haworth and S B. Pope, Phys. Fluids29, 387 (1986).PFLDAS
18. S B. Pope, Annu. Rev. Fluid Mech.26, 23 (1994).ARVFA3
19. G. Comte-Bellot and S. Corrsin, J. Fluid Mech.25, 657 (1966).JFLSA7
20. G K. Batchelor, The Theory of Homogeneous Turbulence (Cambridge University Press, Cambridge, England, 1953).
21. J M. Burgers, The Nonlinear Diffusion Equation (Reidel, Dordrecht, 1974).
22. G L. Eyink, Physica D78, 222 (1994).PDNPDT
23. A. Juneja, D P. Lathrop, K R. Sreenivasan, and G. Stolovitsky, Phys. Rev. E49, 5179 (1994).PLEEE8
24. G. Comte-Bellot and S. Corrsin, J. Fluid Mech.48, 273 (1971).JFLSA7
25. C. Itzykson and J.-B. Zuber, Quantum Field Theory (McGraw-Hill, New York, 1980).
26. K. Huang, Quarks, Leptons, and Gauge Fields (World Scientific, Singapore, 1982).