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Initial studies of high latitude magnetic field data during different magnetospheric conditions


We investigate the statistical properties of high-latitude magnetometer data for differing geomagnetic activity. This is achieved by characterizing changes in the nonlinear statistics of the geomagnetic field, by means of the Hurst exponent, measured from a single ground-based magnetometer station. The long-range statistical nature of the geomagnetic field at a local observation site can be described as a multifractional Brownian motion, thus suggesting the statistical structure required of mathematical models of magnetospheric activity. We also find that, in general, the average Hurst exponent for quiet magnetospheric intervals is smaller than that for more active intervals.


  • Bartels, J., Discussion of time variations of geomagnetic indices Kp and Ap, Ann. Geophysicae, 19, 1, 19323–19361, 1963.

    Google Scholar 

  • Burlaga, L. F., Multifractal structure of the interplanetary magnetic field, Voyager 2 observations near 25 AU, 1987–1988, Geophys. Res. Lett., 18(1), 69, 1991.

    Article  Google Scholar 

  • Burlaga, L. F. and W. H. Mish, Large-Scale fluctuation in the interplanetary medium, J. Geophys. Res., 92, A2, 1261–1266, 1987.

    Article  Google Scholar 

  • Consolini, G. and A. T. Y. Lui, Symmetry breaking and nonlinear wavewave interaction in current disruption: Possible evidence for a phase transition, in Magnetospheric Current Systems, Geophys. Monogr. Ser., vol. 118, edited by S.-I. Ohtani et al., p. 395, AGU, Washington, D. C, 2000.

    Chapter  Google Scholar 

  • Daglis, I. A., J. U. Kozyra, Y. Kamide, D. Vassiliadis, A. S. Sharma, M. W. Liemohn, W. D. Gonzalez, B. T. Tsurutani, and G. Lu, Intense space storms: Critical issues and open disputes, J. Geophys. Res., 108, A5 1208, 2003.

    Article  Google Scholar 

  • Gonzalez, W. D., J. A. Joselyn, Y. Kamide, H. W. Kroehl, G. Rostoker, B. T. Tsurutani, and V. M. Vasyliunas, What is a geomagnetic storm?, J. Geophys. Res., 99, A4, 5771–5792, 1994.

    Article  Google Scholar 

  • Gosling, J.T., D.J. McComas, J.L. Phillips, and S.J. Bame, Geomagnetic activity associated with earth passage of interplanetary shock disturbances and coronal mass ejections, J. Geophys. Res., 96, 7831–7839, 1991.

    Article  Google Scholar 

  • Hergarten, S., Self-organized Criticality in Earth Systems, Springer Academic Press, 49, 2002.

    Book  Google Scholar 

  • Hnat, B., S. C. Chapman, G. Rowlands, N.W. Watkins, and M. P. Freeman, Scaling in long term data set of geomagnetic indices and solar wind as seen by WIND spacecraft, Geophys. Res. Lett., 30, 22, 2174–2178, 2003.

    Article  Google Scholar 

  • Huttunen, K. E. J., H. E. J. Koskinen, T. I. Pulkkinen, A. Pulkkinen, M. Palmroth, E. G. D. Reeves, and H. J. Singer, April 2000 magnetic storm: Solar wind driver and magnetospheric response, J. Geophys. Res., 107, A12, 1440–1461, 2003.

    Article  Google Scholar 

  • Kamide, Y., W. Baumjohann, I. A. Daglis, W. D. Gonzalez, M. Grande, J. A. Joselyn, R. L. McPherron, J. L. Phillips, E. G. D. Reeves, G. Rostoker, A. S. Sharma, H. J. Singer, B. T. Tsurutani, and V. M. Vasyliunas, Current understanding of magnetic storms: Storm-substorm relationships, J. Geophys. Res., 103, A8, 17705–17728, 1998.

    Article  Google Scholar 

  • Ohtani, S., T. Higuchi, A. T. Y. Lui, and K. Takahashi, Magnetic fluctuations associated with tail current disruption: Fractal analysis, J. Geophys. Res., 100, A10, 19135–19145, 1995.

    Article  Google Scholar 

  • Peltier, R. and J. Lévy Vehel, Multifractional Brownian motion: Definition and preliminary results, Technical report INRIA 2645, 1995.

    Google Scholar 

  • Peng, C. K., S. Havlin, H. E. Stanley, and A. L. Goldberger, Quantification of Scaling Exponents and Crossover Phenomena in Nonstationary Heartbeat Time Series, American Institute of Physics, 82 pp., 1995.

    Google Scholar 

  • Rangarajan, G. K. and T. Iyemori, Time variations of geomagnetic activity indices Kp and Ap: an update, Ann. Geophysicae, 15, 1271–1290, 1997.

    Article  Google Scholar 

  • Richardson, I. G., E. W. Cliver, and H. V. Cane, Sources of geomagnetic storms for solar minimum and maximum conditions during 1972–2000, Geophys. Res. Lett., 28, 2569, 2001.

    Article  Google Scholar 

  • Stanley, H. E., L. A. N. Amaral, A. L. Goldberger, S. Havlin, P. Ch. Ivanov, and C. K. Peng, Statistical physics and physiology: monofractal and multifractal approaches, Physica, A270, 309–324, 1999.

    Article  Google Scholar 

  • Takalo, J., J. Timonen, A. Klimas, J. Valdivia, and D. Vassiliadis, Nonlinear energy dissipation in a cellular automaton magnetotail field model, Geophys. Res. Lett., 26, 13, 1813–1816, 1999.

    Article  Google Scholar 

  • Tsurutani, B. T., W. D. Gonzalez, F. Tang, and Y. T. Lee, Great magnetic storms, Geophys. Res. Lett., 19, 1, 73–76, 1992.

    Article  Google Scholar 

  • Vörös, Z., On multifractality of high-latitude geomagnetic fluctuations, Ann. Geophysicae, 18, 1273–1282, 2000.

    Article  Google Scholar 

  • Wanliss, J. A., Nonlinear variability of SYM-H over two solar cycles, Earth Planets Space, 56, e13–e16, 2004.

    Article  Google Scholar 

  • Wanliss, J., Fractal properties of SYM-H during quiet and active times, J. Geophys. Res., 110, A03202, doi:10.1029/2004JA010544, 2005.

  • Wanliss, J. A. and P. Dobias, Space Storm as a Phase Transition, J. Atmos. Sol. Terr. Physics, 2006 (in press).

    Google Scholar 

  • Wanliss and Reynolds, Measurement of the stochasticity of low-latitude geomagnetic temporal variations, Ann. Geophysicae, 21, 1–6, 2003.

    Article  Google Scholar 

  • Weigel, R. S., D. Vassiliadis, and A. J. Klimas, Coupling of the solar wind to temporal fluctuations in ground magnetic fields, Geophys. Res. Lett., 29, 19, 1915, 2002.

    Article  Google Scholar 

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Cersosimo, D.O., Wanliss, J.A. Initial studies of high latitude magnetic field data during different magnetospheric conditions. Earth Planet Sp 59, 39–43 (2007).

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