Hnat, B., Chapman, Sandra C., Rowlands, G. (George), Watkins, Nicholas W. and Farrell, W. M. (William M.). (2002) Finite size scaling in the solar wind magnetic field energy density as seen by WIND. Geophysical Research Letters, Vol.29 (No.10). ISSN 0094-8276

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Abstract

Statistical properties of the interplanetary magnetic field fluctuations can provide an important insight into the solar wind turbulent cascade. Recently, analysis of the Probability Density Functions (PDF) of the velocity and magnetic field fluctuations has shown that these exhibit non-Gaussian properties on small time scales while large scale features appear to be uncorrelated. Here we apply the finite size scaling technique to explore the scaling of the magnetic field energy density fluctuations as seen by WIND. We find a single scaling sufficient to collapse the curves over the entire investigated range. The rescaled PDF follow a non Gaussian distribution with asymptotic behavior well described by the Gamma distribution arising from a finite range Lévy walk. Such mono scaling suggests that a Fokker-Planck approach can be applied to study the PDF dynamics. These results strongly suggest the existence of a common, nonlinear process on the time scale up to 26 hours.

Item Type:	Journal Article
Subjects:	Q Science > QB Astronomy
Divisions:	Faculty of Science > Physics
Library of Congress Subject Headings (LCSH):	Solar wind, Interplanetary magnetic fields, Magnetohydrodynamic waves
Journal or Publication Title:	Geophysical Research Letters
Publisher:	American Geophysical Union
ISSN:	0094-8276
Date:	2002
Volume:	Vol.29
Number:	No.10
Identification Number:	10.1029/2001GL014587
Status:	Peer Reviewed
Access rights to Published version:	Open Access
Funder:	Leverhulme Trust (LT), Particle Physics and Astronomy Research Council (Great Britain) (PPARC)
References:	Bardou, F., and J.-P. Bouchaud, A. Aspect and C. Cohen-Tannoudji, Le´vy Statistics and Laser Cooling, Cambridge University Press, Cambridge, 2002. Bohr, T., M. H. Jensen, G. Paladin, and A. Vulpiani, Dynamical Systems Approach to Turbulence, Cambridge University Press, Cambridge, 1998. Burlaga, L. F., Lognormal and multifractal distributions of the heliospheric magnetic field, J. Geophys. Res., 106, 15,917– 15,927, 2001. Castaing, B., Y. Gagne, and E. J. Hopfinger, Velocity Probability Density Functions of High Reynolds Number Turbulence, Physica D, 46, 177– 200, 1990. Freeman, M. P., N. W. Watkins, and D. J. Riley, Evidence for a solar wind origin of the power law burst lifetime distribution of the AE indices, Geophys. Res. Lett., 27, 1087– 1090, 2000a. Freeman, M. P., N. W. Watkins, and D. J. Riley, Power law distribution of burst duration and interburst interval in the solar wind: Turbulence or dissipative self-organized criticality?, Phys. Rev. E, 62, 8794 – 8797, 2000b. Frisch, U., Turbulence. The legacy of A.N. Kolmogorov, Cambridge University Press, Cambridge, 1995. Goldstein, M. L., and D. A. Roberts, Magnetohydrodynamic Turbulence in the solar wind, Phys. Plasmas, 6, 4154–4160, 1999. Kolmogorov, A. N., A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number, J. Fluid Mech., 13, 82– 85, 1962. Lepping, R. P., M. Acuna, L. Burlaga, W. Farrell, J. Slavin, K. Schatten, F. Mariani, N. Ness, F. Neubauer, Y. C. Whang, J. Byrnes, R. Kennon, P. Panetta, J. Scheifele, and E. Worley, The WIND Magnetic Field Investigation, Space Sci. Rev., 71, 207, 1995. Mantegna, R. N., and H. E. Stanley, Scaling behaviour in the dynamics of an economic index, Nature, 376, 46– 49, 1995. Mantegna, R. N., and H. E. Stanley, An Introduction to Econophysics, Cambridge University Press, Cambridge, 2000. Milovanov, A. V., and L. M. Zelenyi, Fracton excitations as a driving mechanism for the self-organized dynamical structuring in the solar wind, Astrophys. Space Sci., 264, 317– 345, 1998. Naert, A., B. Castaing, B. Chabaud, B. He´bral, and J. Peinke, Conditional statistics of velocity fluctuations in turbulence, Physica D, 113, 73– 78, 1998. Padhye, N. S., C. W. Smith, and W. H. Matthaeus, Distribution of magnetic field components in the solar wind plasma, J. Geophys. Res., 106, 18,635– 18,650, 2001. Schertzer, D., L. Larcheveˆque, J. Duan, V. V. Yanovsky, and S. Lovejoy, Fractional Fokker-Planck equation for nonlinear stochastic differential equations driven by non-Gaussian Le´vy stable noise, J. Math. Phys., 41, 200– 212, 2001. Sornette, D., Critical Phenomena in Natural Sciences; Chaos, Fractals, Selforganization and Disorder: Concepts and Tools, Springer-Verlag, Berlin, 2000. Sorriso-Valvo, L., V. Carbone, P. Veltri, G. Consolini, and R. Bruno, Intermittency in the solar wind turbulence through probability distribution functions of fluctuations, Geophys. Res. Lett., 26, 1801 – 1804, 1999. Sorriso-Valvo, L., V. Carbone, P. Giuliani, P. Veltri, R. Bruno, V. Antoni, and E. Martines, Intermittency in plasma turbulence, Planet. Space Sci., 49, 1193–1200, 2001. 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. van Atta, C., and J. T. Park, Statistical Self-Similarity and Inertial Subrange Turbulence, Lecture Notes in Physics, Volume 12, edited by M. Rosenblatt and C. Van Atta, Springer Verlag, Berlin, 1972, pp. 402– 426. van Kampen, N.G., Stochastic Processes in Physics and Chemistry, North- Holland, Amsterdam, 1992.
URI:	http://wrap.warwick.ac.uk/id/eprint/3866

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