Multifractal structure of the large-scale heliospheric magnetic field strength fluctuations near 85 AU

Nonlinear Processes in Geophysics

Volumn 11, Issue 4, 2004, Pages 441-445

  Burlaga, L F ^a  

^a NASA GODDARD SPACE FLIGHT CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

SOLAR ACTIVITY;

EID: 10644225962     PISSN: 10235809     EISSN: None     Source Type: Journal    
DOI: 10.5194/npg-11-441-2004     Document Type: Article

References (26)

1. Bruno, R., Carbone, V., Sorriso-Valvo, L., and Bavassano, B.: Radial evolution of solar wind intermittency in the inner heliosphere, J. Geophys. Res. S. P., 108 (A3), doi:10.1029/2002JA009615, 2003.
2. Burlaga, L. F.: Intermittent turbulence in the solar wind, J. Geophys. Res. S. P., 96 (A4), 5847-5851, 1991.
3. Burlaga L. F.: Multifractal structure of the magnetic field and plasma in recurrent streams at 1 AU, J. Geophys. Res., 97, 4283-4293, 1992.
4. Burlaga, L. F.: Interplanetary Magnetohydrodynamics, Oxford University Press, New York, 1995.
5. Burlaga, L. F.: Lognormal and multifractal distributions of the heliospheric magnetic field, J. Geophys. Res., 106, 15 917-15 927, 2001.
6. Burlaga, L. F., McDonald, F. B., Ness, N. F., and Lazarus, A. J.: Multifractal structure of the interplanetary magnetic field: Voyager 2 observations near 25 AU, 1987-1988, J. Geophys. Res., 96, 3789-3799, 1991.
7. Burlaga, L. F., Perko, J., and Pirraglia, J.: Cosmic ray modulation, merged interaction regions, and multifractals, Astrophys. J., 407, 347-358, 1993.
8. Burlaga, L. F., Wang, C., Richardson, J. D., and Ness, N. F.: Largescale magnetic field fluctuations and development of the 1999-2000 GMIR: 1 to 60 AU, Astrophys. J., 585, 1158-1168, 2003a.
9. Burlaga, L. F., Wang, C., and Ness, N. F.: A model and observations of the multifractal spectrum of the heliospheric magnetic field strength fluctuations near 40 AU, Geophys. Res. Lett., 30, 501-504, 2003b.
10. Carbone, V. and Bruno, R.: High-order velocity structure functions and anomalous scaling laws in the interplanetary space, Nuovo Cimento Della Societa Italiana Di Fisica C-Geophysics and Space Physics, 20 (6), 933-938, 1997.
11. Frisch U., Sulem, P.-L., and Nelkin, M.: A simple dynamical model of intermittent fully developed turbulence, J. Fluid Mech., 87, 719, 1978.
12. Halsey, T. C., Jensen, M. H., Kadanoff, L. P., Procaccia, I., and Shraiman, B. I.: Fractal measures and their singularities: The characterization of strange sets, Phys. Rev. A, 33(2), 1141-1151, 1986.
13. Hentschel, H. G. E. and Procaccia, I.: The infinite number of generalized dimensions of fractals and strange attractors, Physica D: Nonlinear Phenomena 8, Issue 3, 435-444, 1983.
14. Horbury, T. S., Balogh, A., Forsyth, R. J., and Smith, E. J.: Ulysses observations of intermittent heliospheric turbulence, Advances in Space Research, 847-850, 1997.
15. Krimigis, S. M., Decker, R. B., Hill, M. E., Armstrong, T. P., Gloeckler, G., Hamilton, D. C., Lanzerotti, L. J., and Roelof, E. C.: Evidence that Voyager-1 exited the solar wind at ∼85 AU, Nature, 426 (6962), 45-48, 2003.
16. Mandelbrot, B.: Possible refinement of the lognormal hypothesis concerning the distribution of energy dissipation in intermittent turbulence, in: Statistical Models and Turbulence, edited by Rosenblatt, M. and Van Atta, C., Springer-Verlag, Berlin-Heidelberg, 333, 1972.
17. Marsch, E., and Liu, S.: Structure and intermittency of velocity fluctuations in the inner solar wind, Ann. Geoph., 11 (4), 227-238, 1993.
18. Marsch, E., and Tu, C. Y.: Spatial evolution of the magnetic field spectral exponent in the solar wind: Helios and Ulysses comparison, J. Geophys. Res. S. P., 101 (A5), 11 149-11 152, 1996.
19. Marsch, E. and Tu, C.-Y.: Intermittency, non-Gaussian statistics and fractal scaling of MHD fluctuations in the solar wind, Nonl. Proc. Geophys., 4, 101-124, 1997, SRef-ID: 1607-7946/npg/1997-4-101.
20. McDonald, F. B., Stone, E. C., Cummings, A. C., Heikkila, B., Lal, N., and Webber, W. R.: Enhancements of energetic particles near the heliospheric termination shock, Nature, 426 (6962), 48-51, 2003.
21. Milovanov, A. and Zelenyi, P.: Development of fractal structure in the solar wind and distribution of magnetic field in the photosphere: Solar System Plasmas in Space and Time, AGU Geophys. Monograph, 84, Washington D.C., 43-52, 1994.
22. Sreenivasan, K. R.: Fractals and multifractals in fluid turbulence, Annu. Rev. Fluid Mech., 23, 539, 1991.
23. Stanley, H. E. and Meakin, P.: Multifractal phenomena in physics and chemistry, Nature, 335, 405, 1988.
24. Tel, T.: Fractals, multifractals, and thermodynamics, Z. Naturforsch 43a, 1154, 1988.
25. Wang, C. and Richardson, J. D.: Energy partition between solar wind protons and pickup ions in the distant heliosphere: A three-fluid approach, J. Geophys. Res., 106 (A12), 29401-29408, 2001.
26. Wang, C., Richardson, J. D., and Gosling, J. T.: A numerical study of the evolution of the solar wind from Ulysses to Voyager 2, J. Geophys. Res., 105 (A2), 2337-2344, 2000.