Multifractal scaling of the kinetic energy flux in solar wind turbulence

Annales Geophysicae

Volumn 14, Issue 3, 1996, Pages 259-269

  Marsch, E ^a   Tu, C Y ^b   Rosenbauer, H ^a  

^a MAX PLANCK INSTITUT FÜR SONNENSYSTEMFORSCHUNG   (Germany)

^b PEKING UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0141541245     PISSN: 09927689     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00585-996-0259-4     Document Type: Article

References (34)

1. Burlaga, L. F., and L. W. Klein, Fractal structure of the interplanetary magnetic field, J. Geophys Res., 91, 347, 1986.
2. Burlaga, L. F., Multifractal structure of speed fluctuations in recurrent streams at 1 AU and near 6 AU, Geophys. Res. Lett., 18, 1651, 1991a.
3. Burlaga, L. F., Multifractal structure of the interplanetary magnetic field: Voyager 2 observations near 25 AU, 1987-1988, Geophys. Res. Lett., 18, 69, 1991b.
4. Burlaga, L. F., Multifractal structure of the magnetic field and plasma in recurrent streams at 1 AU, J. Geophys. Res., 97, 4283, 1992.
5. Burlaga, L. F., Intermittent turbulence in large-scale velocity fluctuations at 1 AU near solar maximum, J. Geophys. Res., 98, 17467, 1993.
6. Chhabra, A., and R. V. Jensen, Direct determination of the f(α) singularity spectrum, Phys. Rev. Lett., 62, 1327, 1989.
7. Dobrowolny, M., A. Mangeney, and P. Veltri, Fully developed anisotropic turbulence in interplanetary space, Phys. Rev. Lett., 45, 144, 1980.
8. Eckman, J. P., and D. Ruelle, Ergodic theory of chaos and strange attractors, Rev. Mod Phys., 57, 617, 1985.
9. Fedder, J., Fractals, Plenum Press, New York, 1988.
10. Feynman, J., and A. Ruzmaikin, Distributions of the interplanetary field revisited, J. Geophys Res., 99, 17645, 1994.
11. Frisch, U., and G. Parisi, in Turbulence and Predictibility in Geophysical Flud Dynamics and Climate Dynamics, Eds. M. Ghil, R. Benzi and G. Parisi, North Holland, New York, p. 84, 1983
12. Goldstein M., D. A. Roberts and W. H. Matthaeus, Magnetohydrodynamic turbulence in cosmic winds, Proceedings of the Tucson conference on Cosmic winds and the heliosphere, in press, 1995.
13. Halsey, T. C., M. H. Jensen, L. P. Kadanoff, I. Procaccia, and B. I. Shraiman, Fractal measures and their singularities: the characterization of strange sets, Phys. Rev., A33, 141, 1986.
14. Hentschel, E. G. E., and I. Procaccia, The infinite number of generalized dimensions of fractals and strange attractors, Physica, 8D, 435, 1983.
15. Kolmogorov, A. N., The local structure of turbulence in compressible viscous fluid for very large Reynolds numbers, C.R. Acad. Sci. U.R.S.S., 30, 301, 1941.
16. Kraichnan, R. H., Inertial-range spectrum of hydromagnetic turbulence, Phys. Fluids, 8, 1385, 1965.
17. Marsch, E., K.-H. Mühlhäuser, R. Schwenn, H. Rosenbauer, W. Pilipp, and F. M. Neubauer, Solar wind protons: three-dimensional velocity distributions and derived plasma parameters measured between 0.3 and 1 AU, J. Geophys. Res., 87, 52, 1982.
18. Marsch, E., MHD turbulence in the solar wind, in Physics of the Inner Heliosphere, Vol. II, Eds. R. Schwenn and E. Marsch, Springer, Heidelberg, pp. 159-241, 1991a.
19. Marsch, E., Kinetic physics of the solar wind plasma, in Physics of the Inner Heliosphere, Vol II. Eds. R. Schwenn and E. Marsch, Springer, Heidelberg, pp. 45-131, 1991b.
20. Marsch, E., C.-Y. Tu, S. Liu, and H. Rosenbauer, Spectra and structure functions of temperature fluctuations in the inner solar wind, ESPA SP-346, 315, 1992.
21. Marsch, E., and S. Liu, Structure functions and intermittency of velocity fluctuations in the inner solar wind, Ann. Geophysicae, 11, 227, 1993.
22. Marsch, E., and C.-Y. Tu, Non-Gaussian probability distributions of solar wind fluctuations, Ann. Geophysicae, 12, 1127, 1994.
23. Meneveau, C., and K. R. Sreenivasan, The multifractal spectrum of the dissipation field in turbulent flow, Nuclear Physics, B2, 49, 1987a.
24. Meneveau, C., and K. R. Sreenivasan, Simple multifractal cascade model for fully developed turbulence, Phys. Rev. Lett., 59, 1424, 1987b.
25. Meneveau, C., and K. R. Sreenivasan, The multifractral nature of turbulent energy dissipation, Fluid Mech., 224, 429, 1991.
26. Meneveau, C., and K. R. Sreenivasan, Measurement of f(α) from scalings of histograms, and applications to dynamical systems and fully developed turbulence, Phys. Lett., A137, 03, 1989.
27. Montgomery, D., Theory of hydromagnetic turbulence, in Proceedings of Solar Wind Five, Ed M. Neugebauer, NASA Conference Publication, 2280, p. 107, 1983.
28. Paladin, G., and A. Vulpiani, Anomalous scaling laws in multifractal objects, Phys. Rep., 156, 147, 1987.
29. Polygiannakis, J. M., and X. Moussas, Fractal properties of the interplanetary magnetic field fluctuations: indications of chaotic dynamics, Astron. Astrophys., 283, 990, 1994.
30. Tel, T., Fractals, multifractals, and thermodynamics: an introductory review, Z. Naturforsch., 43a, 1154, 1988.
31. Tu, C.-Y., The damping of interplanetary fluctuations and the heating of the solar wind, J. Geophys. Res., 93, 7, 1988.
32. Tu, C.-Y., F. Marsch, and K. M. Thieme, Basic properties of solar wind MHD turbulence near 0.: AU analysed by means of Elsässer Variables, J. Geophys. Res., 94, 11739, 1989.
33. Tu, C.-Y., and E. Marsch, MHD structures, waves and turbulence in the solar wind: observations and theories, Space Sci. Rev., 73, 1-210, 1995.
34. Tu, C.-Y., E. Marsch, and H. Rosenbauer, An extended structure function model and its application to the analysis of solar wind intermittency properties, Ann. Geophysicae, in press, 1995.