World Library  

Add to Book Shelf
Flag as Inappropriate
Email this Book

Asymmetric Multifractal Model for Solar Wind Intermittent Turbulence : Volume 15, Issue 4 (30/07/2008)

By Szczepaniak, A.

Click here to view

Book Id: WPLBN0003986574
Format Type: PDF Article :
File Size: Pages 6
Reproduction Date: 2015

Title: Asymmetric Multifractal Model for Solar Wind Intermittent Turbulence : Volume 15, Issue 4 (30/07/2008)  
Author: Szczepaniak, A.
Volume: Vol. 15, Issue 4
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection, Copernicus GmbH
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


APA MLA Chicago

Macek, W. M., & Szczepaniak, A. (2008). Asymmetric Multifractal Model for Solar Wind Intermittent Turbulence : Volume 15, Issue 4 (30/07/2008). Retrieved from

Description: Space Research Centre, Polish Academy of Science, Bartycka 18A, 00-716 Warsaw, Poland. We consider nonuniform energy transfer rate for solar wind turbulence depending on the solar cycle activity. To achieve this purpose we determine the generalized dimensions and singularity spectra for the experimental data of the solar wind measured in situ by Advanced Composition Explorer spacecraft during solar maximum (2001) and minimum (2006) at 1 AU. By determining the asymmetric singularity spectra we confirm the multifractal nature of different states of the solar wind. Moreover, for explanation of this asymmetry we propose a generalization of the usual so-called p-model, which involves eddies of different sizes for the turbulent cascade. Naturally, this generalization takes into account two different scaling parameters for sizes of eddies and one probability measure parameter, describing how the energy is transferred to smaller eddies. We show that the proposed model properly describes multifractality of the solar wind plasma.

Asymmetric multifractal model for solar wind intermittent turbulence

Marsch, E. and Tu, C.-Y.: Intermittency, non-Gaussian statistics and fractal scaling of MHD fluctuations in the solar wind, Nonlin. Processes Geophys., 4, 101–124, 1997.; 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.; Meneveau, C. and Sreenivasan, K. R.: Simple multifractal cascade model for fully developed turbulence, Phys. Rev. Lett., 59, 1424–1427, 1987.; Meneveau, C. and Sreenivasan, K. R.: The multifractal nature of turbulent energy dissipation, J. Fluid Mech., 224, 429–484, 1991.; Ott, E.: Chaos in Dynamical Systems, Cambridge University Press, Cambridge, 1993.; Schwenn, R.: Large-scale structure of the interplanetary medium, in: Physics of the Inner Heliosphere, edited by: Schwenn, R. and Marsch, E., 20, Springer-Verlag, Berlin, 99–182, 1990.; Anselmet, F., Gagne, Y., Hopfinger, E. J., and Antonia, R. A.: High-order velocity structure functions in turbulent shear flows, J. Fluid Mech., 140, 63–89, 1984.; Benzi, R., Paladin, G., Vulpiani, A., and Parisi, G.: On the multifractal nature of fully developed turbulence and chaotic systems, J. Phys. A, 17, 3521–3531, 1984.; Biskamp, D.: Magnetohydrodynamic Turbulence, Cambridge, Cambridge University Press, 2003.; She, Z.-S. and Leveque, E.: Universal scaling laws in fully developed turbulence, Phys. Rev. Lett., 72, 336–339, 1994.; 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.; Sorriso-Valvo, L., Marino, R., Carbone, V., Lepreti, F., Veltri, P., Noullez, A., Bruno, R., Bavassano, B., and Pietropaolo, E.: Observation of inertial energy cascade in interplanetary space plasma, Phys. Rev. Lett., 99, 115001, doi:10.1103/PhysRevE.71.066313, 2007.; Stanley, H. E. and Meakin, P.: Multifractal phenomena in physics and chemistry, Nature, 335, 405–409, 1988.; Tsang, Y.-K., Ott, E., Antonsen Jr., T. M., and Guzdar, P. N.: Intermittency in two-dimensional turbulence with drag, Phys. Rev. E, 71, 066313, doi:10.1103/PhysRevE.71.066313, 2005.; Borgas, M. S.: A comparison of intermittency models in turbulence, Phys. Fluids A, 4, 2055–2061, 1992.; Bruno, R., Carbone, V., and Sorriso-Valvo, L.: Radial evolution of solar wind intermittency in the inner heliosphere, J. Geoophys. Res., 108, 1130, doi:10.1029/2002JA009615, 2003.; Burlaga, L. F.: Intermittent turbulence in the solar wind, J. Geophys. Res., 96, 5847–5851, 1991a.; Burlaga, L. F.: Multifractal structure of the interplanetary magnetic field: Voyager 2 observations near 25 AU, 1987–1988, Geophys. Res. Lett., 18, 69–72, 1991b.; Burlaga, L. F.: Multifractal structure of speed fluctuations in recurrent streams at 1 AU and near 6 AU, Geophys. Res. Lett., 18, 1651–1654, 1991c.; Burlaga, L. F.: Multifractal structure of the magnetic field and plasma in recurrent streams at 1 AU, J. Geophys. Res., 97, 4283–4293, 1992a.; Burlaga, L. F.: Multifractals in the solar wind, in: Solar Wind Seven, edited by: Marsch, E. and Schwenn, R., Proceedings of the 3rd COSPAR Colloquium, Goslar, Germany, 16–20 September 1991, COSPAR Colloquia Series, vol. 3, 429–432, Pergamon Press, Oxford, 1992b.; Burlaga, L. F.: Intermittent turbulence in large-scale velocity fluctuations at 1 AU near solar maximum, J. Geophys. Res., 98, 17 467–17 474, 1993.; Burlaga, L F.: Lognormal and multifractal distributions of the heliospheric magnetic field, J. Geophys. Res., 106, 15 917–15 927, doi:10.1029/2000JA000107, 2001.; Burlaga, L. F.: Multifractal structure of the large-scale heliospheric magnetic field strength fluctuations near 85 AU, Nonlin. Processes Geophys., 11, 441–445, 2004.; Burlaga, L F., Perko, J., and Pirraglia, J.: Cosmic-ray modulation, merged interaction regions, and multifractals, Astrophys. J., 407, 347–358, 1993.; Burlaga, L. F., Wang, C., and Ness, N. F.: A model and observations of the multifractal spectrum of the heliospheric m


Click To View

Additional Books

  • Multivariate Localization Methods for En... (by )
  • The Effect of Nonlinear Ionospheric Cond... (by )
  • Numerical Simulation of Ion Dynamics in ... (by )
  • Width Dependent Collisionless Electron D... (by )
  • Voyager 2 Observation of the Multifracta... (by )
  • Brief Communication: the Double Layer in... (by )
  • Synchronization and Desynchronization in... (by )
  • Comment on Chaos and Magnetospheric Dyna... (by )
  • Alfvén Waves in Space and Astrophysical ... (by )
  • Forced Versus Coupled Dynamics in Earth ... (by )
  • Search for the 531 Day-period Wobble Sig... (by )
  • Earthquake Source Parameters Which Displ... (by )
Scroll Left
Scroll Right


Copyright © World Library Foundation. All rights reserved. eBooks from Hawaii eBook Library are sponsored by the World Library Foundation,
a 501c(4) Member's Support Non-Profit Organization, and is NOT affiliated with any governmental agency or department.