Multifractal structure of turbulence in the magnetospheric cusp

Annales Geophysicae

Volumn 22, Issue 7, 2004, Pages 2431-2440

  Yordanova, E ^a,b   Grzesiak, M ^a   Wernik, A W ^a   Popielawska, B ^a   Stasiewicz, K ^c  

^a Polish Academy of Sciences   (Poland)

^b Faculty of Physics Sofia University St Kliment Ohridski   (Bulgaria)

^c SWEDISH INSTITUTE OF SPACE PHYSICS   (Sweden)

Author keywords

Magnetospheric physics (Magnetopause,cusp, and boundary layers); Space plasma physics (Turbulence; nonlinear phenomena)

Indexed keywords

MAGNETIC FIELD; MAGNETOSPHERE; TURBULENCE;

EID: 4344628466     PISSN: 09927689     EISSN: None     Source Type: Journal    
DOI: 10.5194/angeo-22-2431-2004     Document Type: Article

References (29)

1. Arneodo, A., Argoul, F., Muzy, J. F., Pouligny, B., and Freysz, E.: The optical wavelet transform, in Wavelets and Their Application, edited by Ruskai, M. B., Beylkin, G., Coifman, R., Daubechies, I., Mallat, S., Meyer, Y., and Raphael, L., Jones and Bartlett Publishers, Boston, 241-273, 1992.
2. Arneodo, A., Bacry, E., and Muzy, J. F.: The thermodynamics of fractals revisited with wavelets, in Wavelets in Physics, edited by van den Berg, J. C., Cambridge University Press, Cambridge, 339-390,1999.
3. Carbone, V.: Cascade model for intermittency in fully developed magneto-hydrodynamic turbulence, Phys. Rev. Lett., 71, 1546-1548, 1993.
4. Frisch, U.: Turbulence, Cambridge University Press, Cambridge, 1995.
5. Horbury, T. S., Balogh, A., Forsyth, R. J., and Smith, E. J.: Ulysses observations of intermittent heliospheric turbulence, Adv. Space Res., 19, 847-850, 1997.
6. Iroshnikov, P. S.: Turbulence of conducting fluids in a strong magnetic field, Sov. Astron., 7, 566-571, 1963.
7. Jaffard, S.: Some mathematical results about the multifractal formalism for functions, in Wavelets: Theory, Algorithms and Applications, edited by Chui, C. K., Montefusco, L., and Puccio, L., Academic Press, San Diego, 325-361, 1994.
8. Kolmogorov, A. N.: The local structure of turbulence in incompressible viscous fluid for very large Reynolds number, Dokl. Akad. Nauk SSSR, 31, 301-305, 1941.
9. Kraichnan, R. H.: Inertial-range spectrum in hydrodynamic turbulence, Phys. Rev. Lett., 8, 1385-1387, 1965.
10. Mallat, S. and Hwang, W. H.: Singularity detection and processing with wavelets, IEEE Trans, Inform. Theory, 38, 617-643, 1992.
11. Mallat, S. and Zhong, S.: Characterization of signals from multiscale edges, IEEE Trans. On Pattern Analysis and Machine Intelligence, 14, 710-732, 1992.
12. Marsch, E. and Tu, C.-Y.: Intermittency, non-Gaussian statistics and fractal scaling of MHD fluctuations in the solar wind, Nonlinear Processes in Geophysics, 4, 101-124, 1997.
13. Marsch, E., Tu, C.-Y., and Rosenbauer, H.: Multifractal scaling of the kinetic energy flux in solar wind turbulence, Ann. Geophys., 14,259-269, 1996.
14. Meneveau, C. and Sreenivasan, K. R.: Simple multifractal cascade model for fully developed turbulence, Phys. Rev. Lett., 59, 1424-1427 ,1987.
15. Meneveau, C. and Sreenivasan, K. R.: The multifractal nature of turbulent energy dissipation, J. Fluid Mech., 224,429-484, 1991.
16. Muzy, J. F., Bacry, E., and Ameodo, A.: Wavelets and multifractal formalism for singular signals: Application to turbulence data, Phys. Rev. Lett., 67, 3515-3518, 1991.
17. Muzy, J. F., Bacry, E., and Ameodo, A.: The multifractal formalism revisited with wavelets, Int. J. Bifurcation and Chaos, 4, 245-302, 1994.
18. Paladin, G. and Vulpiani, A.: Anomalous scaling laws in multifractal objects, Physics Reports, 156, 147-225, 1987.
19. Parisi, G. and Frisch, U.: On the singularity structure of fully developed turbulence, in Turbulence and Predictability in Geophysical Fluid Dynamics, edited by Ghil, M., Benzi, R., and Parisi, G., North-Holland, Amsterdam, 84-87, 1985.
20. Pickett, J. S., Menietti, J. D., Hospodarsky, G. B., Gumett, D. A., and Stasiewicz, K.: Analysis of the turbulence observed in the outer cusp turbulent boundary layer, Adv. Space Res., 30, 2809-2814, 2002.
21. Press, W. H., Flannery, B. P., Teukolsky, S. A., and Vetterling, W. T.: Numerical Recipes, Cambridge Univ. Press, Cambridge, 1986.
22. Russell, C. T., Snare, R. C., Means, J. D., Pierce, D., Dearborn, D., Larson, M., Barr, G., and Le, G.: The GGS/Polar magnetic field investigations, Space Sci. Rev., 71, 563-582, 1995.
23. Savin, S., Borodkova, N. L., Budnik, E. Yu., et al.: Interball tail probe measurements in outer cusp and boundary layers, in Geospace Mass and Energy Flow: Results from the International Solar-Terrestrial Physics Program, edited by Horwitz, J. L., Gallagher, D. L., and Peterson, W. K., Geophysical Monograph 104, American Geophysical Union, Washington D.C., 25-44, 1998.
24. Savin, S., Budnik, E., Nozdracheva, M., et al.: On the plasma turbulence and transport at the polar cusp outer border, Czech. J. Phys., 49, 679-693, 1999.
25. Savin, S., Zelenyi, L., Rauch, J. L., Romanov, S., et al.: On the properties of turbulent boundary layer over polar cusps, Nonlinear Processes in Geophysics, 9, 443-451, 2002a.
26. Savin, S., Zelenyi, L. M., Maynard, N. C., Sandahl, I., et al.: Multispacecraft tracing of turbulent boundary layer, Adv. Space Res., 30,2821-2830,2002b.
27. Sorriso-Valvo, L., Carbone, V., Giuliani, P., Veltri, P., Bruno, R., Antoni, V., and Martines, E.: Intermittency in plasma turbulence, Planet. Space Sci., 49, 1193-1200, 2001.
28. Taylor, M. G. G. T. and Cargill, P. J.: A magnetohydrodynamic model of plasma flow in the high-latitude cusp, J. Geophys. Res., 107 (A6), doi: 10. 1029/2001JA900159, 2002.
29. Tu, C.-Y., Marsch, E., and Rosenbauer, H.: An extended structure function model and its application to the analysis of solar wind measurements, Ann. Geophys., 14, 270-285, 1996.