Geomagnetic substorms as perturbed self-organized critical dynamics of the magnetosphere

Journal of Atmospheric and Solar-Terrestrial Physics

Volumn 63, Issue 13, 2001, Pages 1415-1424

  Uritsky, Vadim ^a,b   Pudovkin, Mikhail ^b   Steen, Ake ^c  

^a NASA GODDARD SPACE FLIGHT CENTER   (United States)

^b ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

^c SWEDISH INSTITUTE OF SPACE PHYSICS   (Sweden)

Author keywords

Phase transitions; Sandpiles; Self organized criticality; Substorms

Indexed keywords

EID: 0346789845     PISSN: 13646826     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1364-6826(00)00243-1     Document Type: Article

References (30)

1. Bak, P., Tang, C., Wiesenfeld, K., 1987. Self-organized criticality: an explanation of 1/f noise. Physical Review Letters 59, 381-384.
2. Bak, P., Tang, C., Wiesenfeld, K., 1988. Self-organized criticality. Physical Review A 38, 364-372.
3. Bak, P., 1992. Self-organized criticality in nonconservative models. Physica A 191, 41-46.
4. Bak, P., 1997. How Nature Works: The Science of Self-Organized Criticality. Oxford University Press, Oxford, 212pp.
5. Burlaga, L.F., Ness, N.F., 1998. Magnetic field strength distributions and spectra in the heliosphere and their significance for cosmic ray modulation: voyager 1, 1980-1994. Journal of Geophysical Research-Space Physics 103 (A12), 29,719-29,732.
6. Chang, T.S., 1992. Low-dimensional behavior and symmetry breaking of stochastic systems near criticality - can these effects be observed in space and in the laboratory? IEEE Transactions of Plasma Science 20 (6) 691-694.
7. Chang, T.S., 1999. Self-organized criticality, multi-fractal spectra, sporadic localized reconnections and intermittent turbulence in the magnetotail. Physics of Plasmas 6 (11), 4137-4145.
8. Chapman, S.C., Watkins, N.W., Dendy, R.O., Helander, P., Rowlands, G., 1998. A simple avalanche model as an analogue for magnetospheric activity. Geophysical Research Letters 25 (13), 2397-2400.
9. Chopard, B., Droz, M., 1998. Cellular Automata Modeling of Physical Systems. Cambridge University Press, New York, 341 pp.
10. Consolini, G., 1997. Sandpile cellular automata and magnetospheric dynamics. In: Aiello, S., Iuci, N., Sironi, G., Treves, A., Villante, U. (Eds.), Conference Proceedings "Cosmic Physics in the Year 2000", Vol. 58. Bologna, SIF.
11. Consolini, G., Lui, A.T.Y., 1999. Sign-singularity analysis of current disruption. Geophysical Research Letters 26 (12), 1673-1676.
12. Gershenfeld, N.A., 1992. Dimension measurement on high-dimensional systems. Physica D 55, 135-154.
13. Ghaffari, P., Lise, S., Jensen, H.J., 1997. Nonconservative sandpile models. Physical Review E 56 (6), 6702-6709.
14. Klimas, A.J., Valdivia, J.A., Vassiliadis, D., Baker, D.N., Hesse, M., 2000. The role of self-organized criticality in the substorm phenomenon and its relation to localized reconnection in the magnetospheric plasma sheet. Journal of Geophysical Research (in print).
15. Klimas, A.J., Vassiliadis, D., Baker, D.N., 1998. Dst index prediction using data-derived analogues of the magnetospheric dynamics. Journal of Geophysical Research 103 (A9), 20,435-20,447.
16. Lewis, Z.V., 1991. On the apparent randomness of substorm onset. Geophysical Research Letters 18, 1627-1630.
17. Liperovsky, V.A., Pudovkin, M.I., 1983. Anomalous Resistivity and Double Layers in the Magnetospheric Plasma. Moscow: Nauka, Results of Researches on the International Geophysical Projects, 182pp.
18. Pinho, S.T.R., Prado, C.P.C., Kinouchi, O., 1998. Absence of self-organized criticality in a random-neighbor version of the OFC stick-slip model. Physica A 257, 488-494.
19. Pudovkin, M.I., 1991. Physics of magnetospheric substorms: a review. In: Kan, J.R., Potemra, T.A., Kokubun, S., lijima, T. (Eds.), Magnetospheric Substorms, Geophysical Monograph 64, AGU, Washington, pp. 17-27.
20. Pudovkin, M.I., Semenov, V.S., 1985. Magnetic field reconnection theory and the solar wind-magnetosphere interaction: a review. Space Science Review 41 (1-2), 1-89.
21. Semenov, V.S., Lebedeva, V.V., Biernat, H.K., Heyn, M.F., Rijnbeek, R.P., Farrugia, C.J., 1995. Time-varying reconnection - implications for magnetopause observations. Journal of Geophysical Research - Space Physics 100 (A11), 21,779-21,789.
22. Takalo, J., Timonen, J., Klimas, A., Valdivia, J., Vassiliadis, D., 1999. Nonlinear energy dissipation in a cellular automaton magnetotail field model. Geophysical Research Letters 26, 1813-1816.
23. Tsurutani, B.T., Sugiura, M., Iyemori, T., Goldstein, B.E., Gonzalez, W.D., Akasofu, S.-I., Smith, E.J., 1990. The nonlinear response of AE to the IMF Bs driver: a spectral break at 5 hours. Geophysical Research Letters 17, 279-282.
24. Uritsky, V.M., 1996. 1/f-like spectra of geomagnetic fluctuations: expression of self-organized criticality? In: Book of abstracts of the International Conference on Problems of Geocosmos, June 17-23, St. Petersburg, Russia, p. 110.
25. Uritsky, V.M., Pudovkin, M.I., 1998a. Fractal dynamics of AE-index of geomagnetic activity as a marker of the self-organized criticality in the magnetosphere. Geomagnetizm i Aeronomia, 38 (3), 17-28 (in Russian).
26. Uritsky, V.M., Pudovkin, M.I., 1998b. Low frequency 1/f-like fluctuations of the AE-index as a possible manifestation of self-organized criticality in the magnetosphere. Annales Geophysicae 16 (12), 1580-1588.
27. Uritsky, V.M., Semenov, V.S., 2000. A sandpile model for global statistics of reconnection events in the magnetotail. In: Biernat, H.K., Farrugia, C.J., Vogl, D.F. (Eds.), The Solar Wind - Magnetosphere System 3. Wien: Osterreichische Akademie der Wissenschaften, pp. 299-308.
28. Valdivia, J.A., Vassiliadis, D., Klimas, A., Sharma, A.S., Papadopoulos, K., 1999. Spatial activity of magnetospheric storms. Journal of Geophysical Research 104, 12,239-12,250.
29. Vassiliadis, D., Klimas, A.J., Baker, D.N., Roberts, D.A., 1995. A description of the solar wind - magnetosphere coupling based on nonlinear filters. Journal of Geophysical Research 100, 3495-3512.
30. Vespignani, A., Zaperri, S., 1998. How self-organized criticality works: a unified mean-field picture. Physical Review E 57 (6), 6345-6362.