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Relative ordering in the radial evolution of solar wind turbulence: the S-Theorem approach
Language
English
Obiettivo Specifico
3.9. Fisica della magnetosfera, ionosfera e meteorologia spaziale
Status
Published
JCR Journal
JCR Journal
Peer review journal
Yes
Title of the book
Issue/vol(year)
special issue/29 (2011)
Publisher
Copernicus Publications
Pages (printed)
2317-2326
Issued date
December 23, 2011
Alternative Location
Abstract
Over the past few decades scientists have shown growing interest in space plasma complexity and in understanding the turbulence in magnetospheric and interplanetary media. At the beginning of the 1980s, Yu. L. Klimontovich introduced a criterion, named S-Theorem, to evaluate the degree of order in far-from-equilibrium open systems, which applied to hydrodynamic turbulence showed that turbulence flows were more organized than laminar ones. Using the
same theorem we have evaluated the variation of the degree of self-organization in both Alfv´enic and non-Alfv´enic turbulent
fluctuations with the radial evolution during a long time interval characterized by a slow solar wind. This analysis seems to show that the radial evolution of turbulent fluctuations is accompanied by a decrease in the degree of order, suggesting that, in the case of slow solar wind, the turbulence
decays with radial distance.
same theorem we have evaluated the variation of the degree of self-organization in both Alfv´enic and non-Alfv´enic turbulent
fluctuations with the radial evolution during a long time interval characterized by a slow solar wind. This analysis seems to show that the radial evolution of turbulent fluctuations is accompanied by a decrease in the degree of order, suggesting that, in the case of slow solar wind, the turbulence
decays with radial distance.
References
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streams from Helios 2 observations, Solar Phys., 78, 373–384,
doi:10.1007/BF00151617, 1982b.
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in polar wind: A statisical study on cross-helicity and
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Bruno, R., Carbone, V., Veltri, P., Pietropaolo, E., and Bavassano,
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Alfv´enic turbulence in the solar wind, Space Sci. Rev., 122, 321–
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wind fluctuations, in: 12th International Solar Wind Conference,
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120–123, 2010.
Consolini, G., Bavassano, B., and De Michelis, P.: A probabilistic
approach to heterogeneity in space plasmas: the case of magnetic
field intensity in solar wind, Nonlin. Processes Geophys.,
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structures, Phys. Scripta, T25, 238–242, doi:10.1088/0031-
8949/1989/T25/043, 1989.
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in Liquids, Teubner, Leipzig, 1984.
Freeman, J. W., Totten, T., and Ayra, S.: A determination of polytropic
index of the free streaming solar wind using improved temperature
and density radial power-law indices, Eos Trans. AGU,
73, 238, 1992.
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J. T., McComas, D., Wang, Y.-M., Sheeley, N. R., and Suess, S.
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1995.
Klimontovich, Yu. L.: Entropy decrease in process of self organization.
S-Theorem, Pis’ma v ZhTP, 9, 1089–1093, 1983.
Klimontovich, Yu. L.: Entropy and entropy production in the laminar
and the turbulent flows, Pis’ma v ZhTP, 10, 80–83, 1984.
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A new approach to the statistical theory of open systems, Kluwer
Academic Publishers, 1991.
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or kinetic description of turbulent motion more natural?,
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9, 1996.
Mariani, F., Bavassano, B., Villante, U., and Ness, N. F.: Variations
of the Occurrence Rate of Discontinuities in the Interplanetary
Magnetic Field, J. Geophys. Res., 78, 8011–8022,
doi:10.1029/JA078i034p08011, 1973.
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and Bavassano, B.: Heating the solar wind by a magnetohydrodynamic
turbulent energy cascade, Astrophys. J., 677, L71–L74, doi:10.1086/587957, 2008.
McCracken, K. G. and Ness, N. F.: The Collimation of Cosmic
Rays by the Interplanetary Magnetic Field, J. Geophys. Res., 71,
3315–3318, doi:10.1029/JZ071i013p03315, 1966.
Ness, N. F., Scearce, C. S., and Cantarano, S.: Preliminary Results
from the Pioneer 6 Magnetic Field Experiment, J. Geophys. Res.,
71, 3305–3313, doi:10.1029/JZ071i013p03305, 1966.
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Dynamics, Statistical Physics, Information and Prediction,
World Scientific Publishing Co. Pte. Ltd., 2007.
Prigogine, I. and Stengers, I.: Order out of chaos, Heinemamm,
London, 1984.
Roberts, D. A., Goldstein, M. L., Klein, L. W., and Matthaeus, W.
H.: Origin and evolution of fluctuations in the solar wind: Helios
observations and Helios-Voyager comparisons, J. Geophys. Res.,
92, 12023–12035, doi:10.1029/JA092iA11p12023, 1987.
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Schwenn, R.: The average solar wind in the inner heliosphere:
Structure and slow variations, in: SolarWind FIVE, NASA Conf.
Publ., CP-2280, 485, 1983. Tu, C.-Y. and Marsch, E.: Evidence for a Background Spectrum
of Solar Wind Turbulence in the Inner Heliosphere, J. Geophys.
Res., 95, 4337–4341, doi:10.1029/JA095iA04p04337, 1990.
Tu C.-Y. and Marsch, E.: A Model of Solar Wind Fluctuations with
Two Components: Alfv´en Waves and Convective Structures, J.
Geophys. Res., 98, 1257–1276, doi:10.1029/92JA01947, 1993.
Tu, C.-Y., Pu, Z.-Y., and Wei, F.-S.: The power spectrum of interplanetary
Alfv´enic fluctuations: deviation of the governing
equation and its solution, J. Geophys. Res., 89, 9695–9702,
doi:10.1029/JA089iA11p09695, 1984.
Tu, C.-Y., Marsch, E., and Thieme, K. M.: Basic properties of
solar wind MHD turbulence near 0.3AU analysed by mean
of Els¨asser variables, J. Geophys. Res., 94, 11739–11759,
doi:10.1029/JA094iA09p11739, 1989.
Verma, M. K., Roberts, D. A., and Goldstein, M. L.: Turbulent heating
and temperature evolution in the solar wind plasma, J. Geophys.
Res., 100, 19839–19850, doi:10.1029/95JA01216, 1995.
Ann. Geophys., 29, 2317–2326, 2011 www.ann-geophys.net/29/2317/2011/
scaling in physics, Cambridge University Press, 1997.
Bavassano, B., Dobrowolny, M., Fanfoni, G., Mariani, F., and
Ness, N. F.: Radial evolution of power specta of interplanetary
Alfvnic turbulence, J. Geophys. Res., 87, 3617–3622,
doi:10.1029/JA087iA05p03617, 1982a.
Bavassano, B., Dobrowolny, M., Mariani, F., and Ness, N. F.: Statistical
properties of MHD fluctuations associated with high-speed
streams from Helios 2 observations, Solar Phys., 78, 373–384,
doi:10.1007/BF00151617, 1982b.
Bavassano, B., Pietropaolo, E., and Bruno, R.: Alfv´enic turbulence
in polar wind: A statisical study on cross-helicity and
residual energy variations, J. Geophys. Res., 105, 12697–12704,
doi:10.1029/2000JA900004, 2000. Borovsky, J. E.: Flux tube texture of the solar wind: Strands of
the magnetic carpet at 1AU?, J. Geophys. Res., 113, A08110,
doi:10.1029/2007JA012684, 2008.
Bruno, R. and Carbone, V.: The solar wind as a turbulence laboratory,
Living Rev. Sol. Phys., 2, 4, 2005.
Bruno, R., Carbone, V., Veltri, P., Pietropaolo, E., and Bavassano,
B.: Identifying intermittency events in the solar wind, Planet.
Space Sci., 49, 1201–1210, doi:10.1016/S0032-0633(01)00061-
7, 2001.
Bruno, R., Bavassano, B., D’Amicis, R., Carbone, V., Sorriso-
Valvo, L., and Pietropaolo, E.: On the radial evolution of
Alfv´enic turbulence in the solar wind, Space Sci. Rev., 122, 321–
328, doi:10.1007/s11214-006-5232-8, 2006.
Consolini, G.: Relative degree of order in radial evolution of solar
wind fluctuations, in: 12th International Solar Wind Conference,
edited by: Maksimovic, M., Issautier, K., Meyer-Vernet,
N., Moncuquet, M., and Pantellini, F., AIP Conf. Proc., 1216,
120–123, 2010.
Consolini, G., Bavassano, B., and De Michelis, P.: A probabilistic
approach to heterogeneity in space plasmas: the case of magnetic
field intensity in solar wind, Nonlin. Processes Geophys.,
16, 265–273, doi:10.5194/npg-16-265-2009, 2009.
Ebeling, W.: On the entropy of dissipative and turbulent
structures, Phys. Scripta, T25, 238–242, doi:10.1088/0031-
8949/1989/T25/043, 1989.
Ebeling, W. and Klimontovich, Yu. L.: Self Organization and Turbulence
in Liquids, Teubner, Leipzig, 1984.
Freeman, J. W., Totten, T., and Ayra, S.: A determination of polytropic
index of the free streaming solar wind using improved temperature
and density radial power-law indices, Eos Trans. AGU,
73, 238, 1992.
Goldstein, B. E., Neugebauer, M., Phillips, J. L., Bame, S., Gosling,
J. T., McComas, D., Wang, Y.-M., Sheeley, N. R., and Suess, S.
T.: ULYSSES plasma parameters: latitudinal, radial, and temporal
variations, Astron. & Astrophys., 316, 296–303, 1996.
Horbury, T. S., Balogh, A., Forsyth, R. J., and Smith, E. J.:
Anisotropy of inertial range turbulence in the polar heliosphere,
Geophys. Res. Lett., 22, 3405–3408, doi:10.1029/95GL03012,
1995.
Klimontovich, Yu. L.: Entropy decrease in process of self organization.
S-Theorem, Pis’ma v ZhTP, 9, 1089–1093, 1983.
Klimontovich, Yu. L.: Entropy and entropy production in the laminar
and the turbulent flows, Pis’ma v ZhTP, 10, 80–83, 1984.
Klimontovich, Yu. L.: Turbulent Motion and the Sructure of Chaos.
A new approach to the statistical theory of open systems, Kluwer
Academic Publishers, 1991.
Klimontovich, Yu. L.: Statistical Theory of Open Systems, Vol.1,
Kluwer Academic Publishers, 1995.
Klimontovich, Yu. L.: Is turbulent motion chaos or order? Is the hydrodynamic
or kinetic description of turbulent motion more natural?,
Physica B, 228, 51–62, doi:10.1016/S0921-4526(96)00338-
9, 1996.
Mariani, F., Bavassano, B., Villante, U., and Ness, N. F.: Variations
of the Occurrence Rate of Discontinuities in the Interplanetary
Magnetic Field, J. Geophys. Res., 78, 8011–8022,
doi:10.1029/JA078i034p08011, 1973.
Marino R., Sorriso-Valvo, L., Carbone, V., Noullez, A., Bruno, R.,
and Bavassano, B.: Heating the solar wind by a magnetohydrodynamic
turbulent energy cascade, Astrophys. J., 677, L71–L74, doi:10.1086/587957, 2008.
McCracken, K. G. and Ness, N. F.: The Collimation of Cosmic
Rays by the Interplanetary Magnetic Field, J. Geophys. Res., 71,
3315–3318, doi:10.1029/JZ071i013p03315, 1966.
Ness, N. F., Scearce, C. S., and Cantarano, S.: Preliminary Results
from the Pioneer 6 Magnetic Field Experiment, J. Geophys. Res.,
71, 3305–3313, doi:10.1029/JZ071i013p03305, 1966.
Nicolis, G. and Nicolis, C.: Foundations of Complex Systems. Nonlinear
Dynamics, Statistical Physics, Information and Prediction,
World Scientific Publishing Co. Pte. Ltd., 2007.
Prigogine, I. and Stengers, I.: Order out of chaos, Heinemamm,
London, 1984.
Roberts, D. A., Goldstein, M. L., Klein, L. W., and Matthaeus, W.
H.: Origin and evolution of fluctuations in the solar wind: Helios
observations and Helios-Voyager comparisons, J. Geophys. Res.,
92, 12023–12035, doi:10.1029/JA092iA11p12023, 1987.
Russell, C. T.: Solar wind and interplanetary magnetic field: A tutorial,
Space Weather, Geophysical Monograph, 125, 2001.
Schwenn, R.: The average solar wind in the inner heliosphere:
Structure and slow variations, in: SolarWind FIVE, NASA Conf.
Publ., CP-2280, 485, 1983. Tu, C.-Y. and Marsch, E.: Evidence for a Background Spectrum
of Solar Wind Turbulence in the Inner Heliosphere, J. Geophys.
Res., 95, 4337–4341, doi:10.1029/JA095iA04p04337, 1990.
Tu C.-Y. and Marsch, E.: A Model of Solar Wind Fluctuations with
Two Components: Alfv´en Waves and Convective Structures, J.
Geophys. Res., 98, 1257–1276, doi:10.1029/92JA01947, 1993.
Tu, C.-Y., Pu, Z.-Y., and Wei, F.-S.: The power spectrum of interplanetary
Alfv´enic fluctuations: deviation of the governing
equation and its solution, J. Geophys. Res., 89, 9695–9702,
doi:10.1029/JA089iA11p09695, 1984.
Tu, C.-Y., Marsch, E., and Thieme, K. M.: Basic properties of
solar wind MHD turbulence near 0.3AU analysed by mean
of Els¨asser variables, J. Geophys. Res., 94, 11739–11759,
doi:10.1029/JA094iA09p11739, 1989.
Verma, M. K., Roberts, D. A., and Goldstein, M. L.: Turbulent heating
and temperature evolution in the solar wind plasma, J. Geophys.
Res., 100, 19839–19850, doi:10.1029/95JA01216, 1995.
Ann. Geophys., 29, 2317–2326, 2011 www.ann-geophys.net/29/2317/2011/
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