Low-frequency 1f fluctuations in hydrodynamic and magnetohydrodynamic turbulence

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 76, Issue 3, 2007, Pages

  Dmitruk, Pablo ^a   Matthaeus, W H ^a  

^a UNIVERSITY OF DELAWARE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FOURIER TRANSFORMS; MAGNETOHYDRODYNAMICS;

HYDRODYNAMIC TURBULENCE SIMULATIONS; LOW-FREQUENCY FLUCTUATIONS; MAGNETOHYDRODYNAMIC SIMULATIONS; RANDOM FORCING;

TURBULENCE;

EID: 34548845094     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.76.036305     Document Type: Article

References (24)

1. P (f) = (2π) -1 R (t) e-2πift dt, for time lag t, and autocorrelation R (t) = b (0) b (t) defined in terms of an appropriate average », with b (t) as the fluctuating field.
2. S. Machlup, Sixth International Conference on Noise in Physical Systems (National Bureau of Standards, Washington, DC, 1981), p. 157.
3. A. VanderZiel, Physica 16, 359 (1950). 0031-8914
4. E. W. Montroll and M. F. Shlesinger, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.79.10.3380 79, 3380 (1982).
5. P. Bak, C. Tang, and K. Wiesenfeld, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.38.364 38, 364 (1988).
6. Y. Ponty, H. Politano, and J.-F. Pinton, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.144503 92, 144503 (2004).
7. Y. Zhou, W. H. Matthaeus, and P. Dmitruk, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.76.1015 76, 1015 (2004).
8. R. H. Kraichnan Phys. Fluids PFLDAS 0031-9171 10.1063/1.1761079 8, 1385 (1965).
9. S. Chen and R. H. Kraichnan, Phys. Fluids A PFADEB 0899-8213 10.1063/1.857475 1, 2019 (1989).
10. W. H. Matthaeus and M. L. Goldstein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.57.495 57, 495 (1986).
11. W. H. Matthaeus, B. Breech, P. Dmitruk, A. Bemporad, G. Poletto, M. Velli, and M. Romoli, Astrophys. J. 657, L121 (2007). 0004-637X
12. L. Ofman, J. Geophys. Res. JGREA2 0148-0227 10.1029/2003JA010221 109, A07102 (2004).
13. S. Ghosh, M. Hossain, and W. H. Matthaeus, Comput. Phys. Commun. CPHCBZ 0010-4655 10.1016/0010-4655(93)90103-J 74, 18 (1993).
14. P. Dmitruk, W. H. Matthaeus, and L. Lanzerotti, Geophys. Res. Lett. GPRLAJ 0094-8276 10.1029/2004GL021119 31, L21805 (2004).
15. J. Shebalin, W. H. Matthaeus, and D. C. Montgomery, J. Plasma Phys. 29, 525 (1983). 0022-3778
16. S. Oughton, W. H. Matthaeus, and E. R. Priest, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112094002867 280, 95 (1994).
17. W. C. Muller, D. Biskamp, and R. Grappin, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.066302 67, 066302 (2003).
18. W. C. Muller and R. Grappin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.114502 95, 114502 (2005).
19. W. H. Matthaeus, P. C. Gray, D. H. Pontius, and J. W. Bieber, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.2136 75, 2136 (1995).
20. D. Fyfe and D. Montgomery, J. Plasma Phys. 16, 181 (1976). 0022-3778
21. D. Fyfe, D. Montgomery, and G. Joyce, J. Plasma Phys. 17, 369 (1977). 0022-3778
22. O. Debliquy, M. K. Verma, and D. Carati, Phys. Plasmas PHPAEN 1070-664X 10.1063/1.1867996 12, 042309 (2005).
23. A. Alexakis, P. D. Mininni, and A. Pouquet, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.046301 72, 046301 (2005).
24. G. Dar, M. K. Verma, and V. Eswaran, Physica D 157, 207 (2001). 0167-2789