The Library

Solar cycle dependence of scaling in solar wind fluctuations

Tools

Chapman, Sandra C., Hnat, B. and Kiyani, K.. (2008) Solar cycle dependence of scaling in solar wind fluctuations. Nonlinear Processes in Geophysics, Vol.15 (No.3). pp. 445-455. ISSN 1023-5809

Preview

PDF
WRAP_Chapman_Solar_Cycle.pdf - Draft Version - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
Download (594Kb)

Official URL: http://dx.doi.org/10.5194/npg-15-445-2008

Abstract

In this review we collate recent results for the statistical scaling properties of fluctuations in the solar wind with a view to synthesizing two descriptions: that of evolving MHD turbulence and that of a scaling signature of coronal origin that passively propagates with the solar wind. The scenario that emerges is that of coexistent signatures which map onto the well known "two component" picture of solar wind magnetic fluctuations. This highlights the need to consider quantities which track Alfvénic fluctuations, and energy and momentum flux densities to obtain a complete description of solar wind fluctuations.

Item Type:	Journal Article
Subjects:	Q Science > QB Astronomy
Divisions:	Faculty of Science > Physics
Library of Congress Subject Headings (LCSH):	Solar wind -- Mathematical models, Magnetohydrodynamic waves
Journal or Publication Title:	Nonlinear Processes in Geophysics
Publisher:	Copernicus GmbH
ISSN:	1023-5809
Date:	2008
Volume:	Vol.15
Number:	No.3
Page Range:	pp. 445-455
Identification Number:	10.5194/npg-15-445-2008
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Open Access
Funder:	Science and Technology Facilities Council (Great Britain) (STFC)
References:	Aschwanden, M. J.: Time variability of the “quiet” sun observed with TRACE. II. Physical parameters, temperature evolution, and energetics of extreme-ultraviolet nanoflares Astrophys. J., 535, 1047, 2000. Aschwanden, M. J. and Parnell, C. E.: Nanoflare statistics from first principles: fractal geometry and temperature synthesis, Astrophys. J., 572, 1048, 2002. Barenblatt, G. I.: Scaling, self-similarity, and intermediate asymptotics, CUP, 1996. Buckingham, E.: On Physically Similar Systems; Illustrations of the Use of Dimensional Equations, Phys Rev., 4, 345, 1914. Boldyrev, S.: Spectrum of Magnetohydrodynamic turbulence, Phys. Rev. Lett., 96, 11 5002, 2006. Bruno, R. and Carbone, V.: The Solar Wind as a Turbulence Laboratory, Living Reviews in Solar Physics, 4, http://www. livingreviews.org/lrsp-2005-4, 2005. Burlaga, L. F.: Lognormal and multifractal distributions of the heliospheric magnetic field, J. Geophys. Res., 106, 15 917–15 927, 2001. Carbone, V.: Cascade model for intermittency in fully developed magnetohydrodynamic turbulence, Phys. Rev. Lett., 71, 1546, 1993. Carbone, V., Veltri, P., and Bruno, R.: Experimental evidence for differences in the extended self similarity scaling laws between fluid and magnetohydrodynamic turbulent flows, Phys. Rev, Lett., 75, 3110, 1995. Chapman, S. C., Hnat, B., Rowlands G., and Watkins, N. W.: Scaling collapse and structure functions: identifying self-affinity in finite length time series, Nonlin. Processes Geophys., 12, 767– 774, 2005, http://www.nonlin-processes-geophys.net/12/767/2005/. Chapman, S. C. and Hnat, B.: Quantifying scaling in the anisotropic turbulent solar wind, Geophys. Rev. Lett., 34, L17103, doi:10.1029/2007GL030518, 2007. Dendy, R. O., Chapman, S. C., and Paczuski, M.: Fusion, space, and solar plasmas as complex systems, Plasma Phys. Cont. Fusion, 49, A95, 2007. Frisch U.: Turbulence. The legacy of A.N. Kolmogorov, p. 136, Cambridge University Press, Cambridge, 1995. Galtier, S., Nazarenko, S. V., Newell, A. C., and Pouquet, A.: Anisotropic turbulence of shear Alfven waves, J. Plasma Phys.,63, 447, 2000. Giacalone, J., Jokipii, J. R. and Matthaeus, W. H.: Structure of the turbulent interplanetary magnetic field, Ap. J., 641, L61, 2006. Goldstein, M. L. and Roberts, D. A.: Magnetohydrodynamic Turbulence in the solar wind, Phys. Plasmas, 6, 4154–4160, 1999. Goldstein, M. L.: Major unsolved problems in space plasma physics, Astrophys. Space Sci.,277, 349, 2001. Goldreich, P. and Sridhar, S.: Magnetohydrodynamic turbulence revisited, Ap. J,485, 680, 1997. Hnat, B., Chapman, S. C., Rowlands, G., Watkins, N. W., and Farrell, W. M.: Finite size scaling in the solar wind magnetic field energy density as seen by WIND, Geophys. Res. Lett., 29, 86, 2002. Horbury, T. S., Forman, M. A., and Oughton, S.: Spacecraft observations of solar wind turbulence: an overview, Plasma Phys. Cont. Fusion,47, B703, 2005. Hnat, B., Chapman, S. C., and Rowlands, G.: Intermittency, scaling, and the Fokker-Planck approach to fluctuations of the solar wind bulk plasma parameters as seen by the WIND spacecraft, Phys. Rev. E 67, 056404, 2003. Hnat, B., Chapman, S. C., and Rowlands, G.: Compressibility in Solar Wind Plasma Turbulence, Phys. Rev. Lett. 94, 204502, 2005. Hnat, B., Chapman, S. C., and Rowlands, G.: Scaling and a Fokker- Planck model for fluctuations in geomagnetic indices and comparison with solar wind epsilon as seen by WIND and ACE., J. Geophys. Res., 110, A08206, doi:10.1029/2004JA010824, 2005. Hnat, B., Chapman, S. C., Kiyani, K., Rowlands, G., and Watkins, N. W.: On the fractal nature of the magnetic field energy density in the solar wind, Geophys. Res. Lett., 34, L15108, doi:10.1029/2007GL029531, 2007. Horbury T. S. and Balogh, A.: Structure function measurements of the intermittent MHD turbulent cascade, Nonlin. Processes Geophys., 4, 185–199, 1997. Hughes, D., Paczuski, M., Dendy, R. O., Helander, P., and Mc- Clements, K. G.: Solar Flares as Cascades of Reconnecting Magnetic Loops Phys. Rev. Lett.,90, 131101, 2003. Iroshnikov, P. S.: Turbulence of a conducting fluid in a strong magnetic field, Sov. Astron., 7, 566, 1964. Katul, G. G., Albertson, J. D., Chu, C. R., and Parlange, M. B.: Intermittency in Atmospheric Surface Layer Turbulence: The OrthonormalWavelet Representation, Wavelets in Geophysics, 81, 1997. Kiyani, K., Chapman, S. C., and Hnat, B.: Extracting the scaling exponents of a self-affine, non-Gaussian process from a finitelength time series, Phys. Rev. E, 74, 051122, 2006. Kiyani, K., Chapman, S. C., Hnat, B., and Nicol, R. M.: Self- similar signature of the active solar corona within the inertial range of solar wind turbulence,Phys. Rev. Lett., 98, 211101, 2007. Klimchuk, J. A., and Porter, L. J.: Scaling of heating rates in solar coronal loops, Nature, 377, 131, 1995. Kolmogorov, A. N.: Local structure of turbulence in an incompressible viscous fluid at very high Reynolds numbers, C. R. Acad. Sci., 30, 301, 1941. Kraichnan, R. H.: Inertial range spectrum of hydromagetic turbulence, Phys. Fluids, 8, 1385, 1965. Lu, E. T. and Hamilton, R. J.: Avalanches and the distribution of solar flares, Astrophys. J., 380, L89, 1991. Matthaeus, W. H. and Goldstein, M. L.: Low-Frequency 1/f Noise in the Interplanetary Magnetic Field, Phys. Rev. Lett. 57, 495– 498, 1986. Matthaeus, W. H., Goldstein, M. L., and Roberts, D. A.: Evidence for the presence of quasi- two dimesional nearly incompressible fluctuations in the solar wind, J. Geophys. Res., 95, 20673, 1990. Matthaeus, W. H., Dasso, S., Weygand, J. M., Milano, L. J., Smith, C. W., and Kivelson, M. G.: Spatial correlation of solar wind turbulence from two point measurements, Phys. Rev. Lett., 95, 231101, 2005. Merrifield, J. A., Arber, T. D., Chapman, S. C., and Dendy, R. O.: The scaling properties of two dimensional compressible magnetohydrodynamic turbulence, Phys. Plasmas, 13, 012305, 2006. Merrifield, J. A., Chapman, S. C., and Dendy, R. O.: Intermittency, dissipation and scaling in two dimensional magnetohydrodynamic turbulence, Phys. Plasmas, 14, 012301, 2007. Milano, L. J., Dasso, S., Matthaeus, W. H., Smith, C. W.: Spectral distribution of the cross helicity in the solar wind, Phys. Rev. Lett., 93, 155005, 2004. Milovanov, A. V. and Zelenyi, L. M.: Fracton excitations as a driving mechanism for the self-organized dynamical structuring in the solar wind, Astrophys. Space Sci., 264, 317–345, 1998. M¨uller, W. -C. and Grappin, R.: Spectral energy dynamics in Magnetohydrodynamic turbulence, Phys. Rev. Lett., 95, 114502, 2005. M¨uller, W.-C. and Biskamp, D.: Scaling Properties of Three- Dimensional Magnetohydrodynamic Turbulence Phys. Rev. Lett., 84, 475, 2000. Politano, H. and Pouquet, A.: Model of intermittency in magnetohydrodynamic turbulence, Phys. Rev. E, 52, 636, 1995. Politano, H. and Pouquet, A.: von K´arm´anHowarth equation for magnetohydrodynamics and its consequences on third-order longitudinal structure and correlation functions, Phys. Rev. E, 57(R21), 1998. Schrijver, C. J., Title, A. M., Harvey, K. L., Sheeley Jr., N. R., Wang, Y.-M., van den Oord, G. H. J., Shine, R. A., Tarbell, T. D., and Hurlburt, N. E.: Large-scale coronal heating by the smallscale magnetic field of the Sun, Nature, 94, 152, 1998. She, Z.-S. and Leveque, E.: Universal scaling laws in fully developed turbulence, Phys. Rev. Lett., 72, 336, 1994. Sethna, J. P., Dahmen, K. A., Myers, C. R.: Crackling noise, Nature, 410, 242, 2001. Sorriso-Valvo, L., Carbone, V., Veltri, P., Consolini, G., and Bruno, R.: Intermittency in the solar wind turbulence through probability distribution finctions of fluctuations, Geophys. Res. Lett., 26, 1801, 1999. Sornette, D.: Critical Phenomena in Natural Sciences, Springer, 2004. Spangler, S. R. and Spiller, L. G.: An empirical investigation of compressibility in magnetohydrodynamic turbulence, Phys. Plasmas, 11, 1969, 2004. Taylor G. I.: The spectrum of Turbulence, Proc. R. Soc. A 164, 476, 1938. Tu, C.-Y. and Marsch, E.: MHD Structures, Waves and Turbulence in the Solar Wind: Observations and Theories, Space Sci. Rev.73, 1–210, 1995. Tu, C.-Y., Zhou, C., Marsch, E., Xia, L.-D., Zhao, L., Wang, J.-X., andWilhelm, K.: SolarWind Origin in Coronal Funnels Science, 308, 519, 2005. Veltri, P.: MHD turbulence in the solar wind: self- similarity, intermittency and coherent structures, Plasma Phys. Cont. Fusion, 41, A787, 1999. Watkins, N. W., Credgington, D., Hnat, B., Chapman, S. C., Freeman, M. P., and Greenhough, J.: Towards Synthesis of Solar Wind and Geomagnetic Scaling Exponents: A Fractional L´evy Motion Model, Space Sci. Rev. 121, 271–284, doi:10.1007/s11214-006-4578-2, 2005.
URI:	http://wrap.warwick.ac.uk/id/eprint/590