Abstract
Recently, several observations suggested that the Earth's magnetospheric dynamics in response to solar wind changes may resemble the behavior of a complex system which operates out-of-equilibrium and near criticality. Here, we discuss the emergence of complexity and topological disorder in the magnetotail regions. In detail, we will show how several aspects regarding the multiscale nature of the magnetospheric response may be connected to the evolution of a complex topology of multiscale magnetic and plasma coherent structures.
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References
Akasofu, S.-I. “Magnetospheric substorm, a model”, In Dryer, D., editor, Solar Terrestrial Physics, Part I. Pag. 131. D. Reidel, Norwell, Mass., 1972.
Aktinson, G. “An approximate flow equation for geomagnetic flux tubes and its application to polar substorms”, Jour. Geophys. Res., 72: 5373, 1967.
Andersen, J. V., D. Sornette and K. Leung. “Tricritical behavior in rupture induced by disorder”, Phys. Rev. Lett., 78: 2140, 1997.
Angelopoulos, V., T. Mukai and S. Kokubun. “Evidence for intermittency in Earth's plasma sheet and implications for self-organized criticality”, Phys. Plasmas, 6: 4161, 1999.
Angelopoulos, V., F. S. Mozer, T. Mukai, K. Tsuruda, S. Kokubun and T.J. Hughes. “On the relationship between bursty flows, current disruption and substorms”, Geophys. Res. Lett., 26: 2841, 1999a.
Baker, D. N., A. J. Klimas, R. I. McPherron and J. Büchner. “The evolution from weak to strong geomagnetic activity: an interpretation in terms of deterministic chaos”, Geophys. Res. Lett., 17: 41, 1990.
Berker, A. N. “Critical behavior induced by quenched disorder”, Physica A, 194: 72, 1993.
Bruno, R., B. Bavassano, E. Pietropaolo, V. Carbone and P. Veltri. “Effects of intermittency on interplanetary velocity and magnetic field fluctuations”, Geophys. Res. Lett., 26: 3185, 1999.
Bruno, R., V. Carbone, P. Veltri, E. Pietropaolo and B. Bavassano “Identifying intermittency events in the solar wind”, Planet. Space Sci., 49: 1201, 2001.
Chang, T. “Low-dimensional behavior and symmetry breaking of stochastic systems near criticality: can these effects be observed in space and in the laboratory”, IEEE Trans, Plasma Phys., 20: 691, 1992.
Chang, T., D. D. Vevedensky and J. F. Nicoll “Differential renormalization-group generators for static and dynamic critical phenomena”, Phys. Rep., 217: 279, 1992.
Chang, T. “Sporadic localized reconnections and multiscale intermittent turbulence in the magnetotail”, In Horvitz, J. L et al., editors, Geospace Mass and Energy Flow. Geophysical Monograph, Vol. 104., pag. 193. AGU, Washington DC, 1998.
Chang, T. “Self-organized criticality, multifractal spectra, sporadic localized reconnections and intermittent turbulence in magnetotail”, Phys. Plasmas, 6: 4137, 1999a.
Chang, T. “Self-organized criticality, multi-fractal spectra, and intermittent merging of coherent structures in the magnetotail”, Astr. and Space Sci., 264: 303, 1999b.
Chang, T. “Colloid-like behavior and topological phase transitions in space plasmas: intermittent lowfrequency turbulence in the auroral zone”, Physica Scripta, T89: 80, 2001.
Chang, T., and C. C. Wu “Complexity and anomalous transport in space plasmas”, Phys. Plasmas, 9: 3679, 2002.
Chang, T., C. C. Wu and V. Angelopoulos. “Preferential acceleration of coherent magnetic structures and bursty bulk flows in Earth's magnetotail”, Physica Scripta, T98: 48, 2002.
Chang, T., S. W. Y. Tam, C. C. Wu and G. Consolini “Complexity, forced and/or self-organized criticality, and topological phase transitions in space plasmas”, Space Sci. Rev., 107: 425, 2003a.
Chang, T., S. W. Y. Tam, and C. C. Wu “Complexity induced anisotropic bimodal intermittent turbulence in space plasmas”, submitted to Phys. Plasmas, 2003b.
Chapman, S. C., N. W. Watkins, R. O. Dendy, P. Helander and G. Rowlands “A simple avalanche model as an analogue for the magnetospheric activity”, Geophys. Res. Lett., 25: 2397, 1998.
Chapman, S. C., R. O. Dendy and G. Rowlands “A sandpile model with dual scaling regimes for laboratory, space, and astrophysical plasmas”, Phys. Plasmas, 6: 4169, 1999.
Consolini, G., M. F. Marcucci and M. Candidi “Multifractal structure of auroral electrojet index data”, Phys. Rev. Lett., 76: 4082, 1996.
Consolini, G., “Sandpile cellular automata and the magnetospheric dynamics”, In Aiello, S. et al., editors, Cosmic Physics in the Year 2000, Proceedings of VIII GIFCO Conference, pag. 123, SIF, Bologna, 1997.
Consolini, G. and P. De Michelis “Non-Gaussian distribution of AE-index fluctuations. Evidence for time intermittency”, Geophys. Res. Lett., 25: 4087, 1998.
Consolini, G. and A. T. Y. Lui “Sign-singularity analysis of current dsruption”, Geophys. Res. Lett., 26: 1673, 1999.
Consolini, G. and A. T. Y. Lui “Symmetry Breaking and Nonlinear Wave-Wave Interaction in Current disruption: Possible evidence for a phase Transition”, In S. Ohtani et al., editors, Magnetospheric Current Systems. Geophysical Monograph, Vol. 118., pag. 395. AGU, Washington DC, 2000.
Consolini, G. and P. De Michelis “A revised forest-fire cellular automaton for the nonlinear dynamics of the Earth's magnetotail”, Jour. Atmos. Solar Terr. Phys., 63: 1371, 2001.
Consolini, G. and T. Chang “Magnetic field topology and criticality in geotail dynamics: relevance to substorm phenomena”, Space Sci. Rev., 95: 309, 2001.
Consolini, G. and T. Chang “Complexity, magnetic field topology, criticality, and metastability in magnetotail dynamics”, Jour. Atmos. Solar Terr. Phys., 64: 541, 2002.
Consolini, G. “Self-organized criticality: a new paradigm for the magnetotail dynamics”, Fractals, 10: 275, 2002.
Deng, X. H. and H. Matsumoto “Rapid magnetic reconnection in the Earth's magnetosphere mediated by whistler waves”, Nature, 410: 557, 2001.
Farge, M. “Wavelet transforms and their applications to turbulence”, Ann. Rev. Fluid Mech., 24: 395, 1992.
Freeman, M. P., N. W. Watkins and D. J. Riley “Evidence for a solar wind origin of the power law burst lifetime distribution of AE indices”, Geophys. Res. Lett., 27: 1087, 2000.
Klimas, A. J., D. V. Vassiliadis, D. N. Baker and D. A. Roberts. “The organized nonlinear dynamics of the magnetosphere”, Jour. Geophys. Res., 101: 13089, 1996.
Klimas, A. J., Valdivia J. A., D. V. Vassiliadis, D. N. Baker, M. Hesse and J. Takalo. “Self-organized criticality in the substorm phenomenon and its relation to localized reconnection in the magnetospheric plasma sheet”, Jour. Geophys. Res., 105: 18765, 2000.
Lui, A. T. Y., R. E. Lopez, S.M. Krimigis, R. W. McEntire, L. J. Zanetti and T. A. Potemra, “A case study of magnetotail current sheet disruption and diversion”, Geophys. Res. Lett., 15: 721, 1988.
Lui, A. T. Y. “A synthesis of magnetospheric substorm models”, Jour. Geophys. Res., 96: 1849, 1991.
Lui, A. T. Y. “Current disruption in the Earth's magnetosphere: observations and models”, Jour. Geophys. Res., 101: 13067, 1996.
Lui, A. T. Y. and A.-H. Najimi “Time-frequency decomposition of signals in a current disruption event”, Geophys. Res. Lett., 24: 3157, 1997.
Lui, A. T. Y., K. Liou, P. T. Newell, C. I. Meng, S.-I. Ohtani, T. Ogino, S. Kokubun, M. Brittnacher and G. K. Parks. “Plasma and magnetic flux transport associated with auroral breakups”, Geophys. Res. Lett., 25: 4059, 1998.
Lui, A. T. Y., K. Liou, M. Nosé, S.-I. Ohtani, D. J. Williams, T. Mukai, K. Tsuruda, and S. Kokubun. “Near-Earth Dipolarization: Evidence for a non-MHD Process”, Geophys. Res. Lett., 26: 2905, 1999.
Lui, A. T. Y. “Particle acceleration in disruption of the tail current sheet”, Phys. Chem. Earth, 24C: 259, 1999.
Lui, A. T. Y., S. Chapman, K. Liou, P. T. Newell, C. I. Meng, M. Brittnacher and G. K. Parks. “Is the dynamic magnetosphere an avalanching system?”, Geophys. Res. Lett., 27: 911, 2000.
Lui, A. T. Y. “Multiscale phenomena in the near-Earth magnetosphere”, Jour. Atmos. Solar Terr. Phys., 64: 125, 2002.
Milovanov, A. V., L. M. Zelenyi, P. Veltri, G. Zimbardo and A. L. Taktakishvili. “Geometric description of the magnetic field and plasma coupling in the near-Earth stretched tail prior to a substorm”, Jour. Atmos. Solar Terr. Phys., 63: 705, 2001.
Nicolis, G. and I. Prigogine “Exploring Complexity. An Introduction”, R. Piper GmbH & Co., Monaco, 1987.
Ohtani, S., T. Higuchi, A. T. Y. Lui, and K. Takahashi. “Magnetic fluctuations associated with tail current disruption: Fractal analysis”, Jour. Geophys. Res., 100: 19135, 1995.
Ohtani, S., K. Takahashi, T. Higuchi, A. T. Y. Lui, H. E. Spnce and J. F. Fennell. “AMPTE/CCE-SCATHA simultaneous observations of substorm-associated magnetic fluctuations”, Jour. Geophys. Res., 103: 4671, 1998.
Price, C. P. and D. E. Newman. “Using the R/S statistics to analyse AE data”, Jour. Atmos. Solar Terr. Phys., 63: 1387, 2001.
Roberts, D. A., D. N. Baker, A. J. Klimas and L. F. Bargatze. “Indications of low dimensionality in magnetospheric dynamics”, Geophys. Res. Lett., 18:151, 1991.
Sethna, J. P., K. A. Dahmen and C. R. Myers. “Crackling noise”, Nature, 410:242, 2001.
Sharma, A. S., D. V. Vassiliadis, and K. Papadopoulos. EOS, Trans. AGU, 72: 402, 1991.
Sharma, A. S., “Assessing the magnetosphere's nonlinear behavior: its dimensional is low, its predictability is high”, Rev. Geophys., 33: 645, 1995.
Sharma, A. S., M. I. Sitnov and K. Papadopoulos. “Substorms as nonequilibrium transitions of the magnetosphere”, Jour. Atmos. Sol. Terr. Phys., 63: 1399, 2001.
Sitnov, M. I., A. S. Sharma, K. Papadopoulos, D. Vassiliadis, J. A. Valdivia, A. J. Klimas and D. N. Baker. “Phase transition-like behavior of the magnetosphere during substorms”, Jour. Geophys. Res., 105: 12955, 2000.
Sitnov, M. I., A. S. Sharma, K. Papadopoulos, and D. Vassiliadis. “Modeling substorm dynamics of the magnetosphere: from self-organization and self-organized criticality to non'equilibrium phase transitions”, Phys. Rev. E, 65: 16116, 2001.
Takalo, J., J. Timonen, A. J. Klimas, J. Valdivia and D. V. Vassiliadis. “Nonlinear energy dissipation in a cellular automaton magnetotail field model”, Geophys. Res. Lett., 26: 1813, 1999.
Takalo, J., K. Mursula and J. Timonen “Role of the driver in the dynamics of a coupled-map model of the magnetotail: Does the magnetosphere act as a low-pass filter?”, Jour. Geophys. Res., 105: 27665, 2000.
Tam, S. W. Y., T. Chang, S. Chapman and N. W. Watkins. “Analytical determination of power-law index for the Chapman et al. sandpile (FSOC) analog for magnetospheric activity—a renormalization-group analysis”, Geophys. Res. Lett., 27: 1367, 2000.
Tetrault, D. “Turbulent relaxation of magnetic fields. 1. Coarse-grained dissipation and reconnection”, Jour. Geophys. Res., 97: 8631, 1992a.
Tetrault, D. “Turbulent relaxation of magnetic fields. 2. Self-organization and intermittency”, Jour. Geophys. Res., 97: 8541, 1992b.
Uritsky, V. M. and M. I. Pudovkin. “Low frequency 1/f—like fluctuations of the AE-index as a possible manifestation of self-organized criticality in the magnetosphere”, Annals of Geophysics, 16: 1580, 1998.
Uritsky, V. M. and A. J. Klimas, D. Vassiliadis, D. Chua and G. D. Parks. “Scalefree statistics of spatiotemporal auroral emissions as depicted by POLAR UVI images: The dynamic magnetosphere is an avalanching system”, Jour. Geophys. Res., 107: 1426, 2002.
Vassiliadis, D. V., A. S. Sharma, T. E. Eastman and K. Papadopoulos. “Low-dimensional chaos in magnetospheric activity from AE time series”, Geophys. Res. Lett., 17: 1841, 1990.
Wolfram, S. A new kind of science, Wolfram Media Inc., 2002.
Wu, C. C. and T. Chang. “2D MHD simulation of the emergence and merging of coherent structures”, Geophys. Res. Lett., 27: 863, 2000.
Wu, C. C. and T. Chang. “Further study of the dynamics of two-dimensional MHD coherent structures—a large scale simulation”, Jour. Atmos. Sol. Terr. Phys., 63: 1447, 2001.
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Consolini, G., Chang, T., Lui, A.T.Y. (2005). Complexity and Topological Disorder in the Earth's Magnetotail Dynamics. In: Burton, W., et al. Nonequilibrium Phenomena in Plasmas. Astrophysics and Space Science Library, vol 321. Springer, Dordrecht. https://doi.org/10.1007/1-4020-3109-2_3
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DOI: https://doi.org/10.1007/1-4020-3109-2_3
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