Scaling and a fokker-planck model for fluctuations in geomagnetic indices and comparison with solar wind ε as seen by wind and ACE

Journal of Geophysical Research: Space Physics

Volumn 110, Issue A8, 2005, Pages

  Hnat, B ^a   Chapman, S C ^a   Rowlands, G ^a  

^a UNIVERSITY OF WARWICK   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33746324510     PISSN: None     EISSN: 21699402     Source Type: Journal    
DOI: 10.1029/2004JA010824     Document Type: Article

References (44)

1. Angelopoulos, V., W. Baumjohann, C. F. Kennel, F. V. Coroniti, M. G. Kivelson, R. Pellat, R. J. Walker, H. Lühr, and G. Paschmann (1992), Bursty bulk flows in the inner central plasma sheet, J. Geophys. Res., 97(A4), 4027-4039.
2. Angelopoulos, V., T. Mukai, and S. Kokubun (1999), Evidence for intermittency in Earth's plasma sheet and implications for self-organized criticality, Phys. Plasmas, 6(11), 4161-4168.
3. Baumjohann, W., and R. A. Treumann (1996), Basic Space Plasma Physics, pp. 89-100, Imperial College Press, London.
4. Chang, T. (1992), 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 Sci., 20, 691.
5. Chapman, S. C., and N. W. Watkins (2001), Avalanching and self organised criticality: a paradigm for magnetospheric dynamics?, Space Sci. Rev., 95, 293-307.
6. Chapman, S. C., B. Hnat, G. Rowlands, and N. W. Watkins (2005), Scaling collapse and structure functions: Identifying self-affinity in finite length time series, Nonlinear Processes Geophys., 12, 767-774.
7. Consolini, G., and P. De Michelis (1998), Non-Gaussian distribution function of AE-index fluctuations: Evidence for time intermittency, Geophys. Res. Lett., 25, 4087-4090.
8. Consolini, G., M. F. Marcucci, and M. Candidi (1996), Multifractal structure of auroral electrojet index data, Phys. Rev. Lett., 76, 4082-4085.
9. Freeman, M. P., N. W. Watkins, and D. J. Riley (2000), Evidence fora solar wind origin of the power law burst lifetime distribution of the AE indices, Geophys. Res. Lett., 27, 1087-1090.
10. Frisch, U. (1995), Turbulence: The Legacy of A. N. Kolmogorov, 89 pp., Cambridge Univ. Press, New York.
11. Hnat, B., S. C. Chapman, G. Rowlands, N. W. Watkins, and M. P. Freeman (2003a), Scaling in long term data sets of geomagnetic indices and solar wind e as seen by WIND spacecraft, Geophys. Res. Lett., 30(22), 2174, doi:10.1029/2003GL018209.
12. Hnat, B., S. C. Chapman, and G. Rowlands (2003b), 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.
13. Horbury, T. S., and A. Balogh (1997), Structure function measurements of the intermittent MHD turbulent cascade, Nonlinear Proc. Geophys., 4, 185-199.
14. Horton, W., J. P. Smith, R. Weigel, C. Crabtree, I. Doxas, and B. Goode (1999), The solar-wind driven magnetosphere-ionosphere as a complex dynamical system, Phys. Plasmas, 6(11), 4178-4184.
15. Klimas, A. J., D. Vassiliadis, D. N. Baker, and D. A. Roberts (1996), The organized nonlinear dynamics of the magnetosphere, J. Geophys. Res., 101, 13,089-13,113.
16. Klimas, A., V. Uritsky, and D. Baker (2004a), Scale-free avalanching and a loading-unloading cycle in a driven current-sheet model, paper presented at International Conference on Substorms-7, Finnish Meteorol. Inst., Helsinki.
17. Klimas, A. J., V. M. Uritsky, D. Vassiliadis, and D. N. Baker (2004b), Reconnection and scale-free avalanching in a driven current-sheet model, J. Geophys. Res., 109, A02218, doi:10.1029/2003JA010036.
18. Kovács, P., V. Carbone, and Z. Vörös (2001), Wavelet-based filtering of intermittent events from geomagnetic time series, Planet. Space Sci., 49, 1219-1231.
19. Kozelov, B. V., and T. V. Kozelova (2003), Cellular automata model of magnetospheric-ionospheric coupling, Annal. Geophys., 21(9), 1931-1938.
20. Kozelov, B. V., V. M. Uritsky, and A. J. Klimas (2004), Power law probability distributions of multiscale auroral dynamics from ground-based TV observations, Geophys. Res. Lett., 31, L20804, doi:10.1029/2004GL020962.
21. Lewis, Z. V. (1991), On the apparent randomness of substorm onset, Geophys. Res. Lett., 75(8), 1627-1630.
22. Lui, A. T. Y., S. C. Chapman, K. Liou, P. T. Newell, C. I. Meng, M. Brittnacher, and G. K. Parks (2000), Is the dynamic magnetosphere an avalanching system?, Geophys. Res. Lett., 27(1), 911-914.
23. Pagel, C., and A. Balogh (2002), Intermittency in the solar wind: A comparison between solar minimum and maximum using Ulysses data, J. Geophys. Res., 107(A8), 1178, doi:10.1029/2002JA009331.
24. Perreault, P., and S.-I. Akasofu (1978), A study of geomagnetic storms, Geophys. J. R. Astron. Soc., 54, 547-573.
25. Press, W. H., B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling (1988), Numerical Recipes in C, 490 pp., Cambridge Univ. Press, New York.
26. Sitnov, M. I., A. S. Sharma, K. Papadopoulos, D. Vassiliadis, J. A. Valdivia, A. J. Klimas, and D. N. Baker (2000), Phase transition-like behavior of the magnetosphere during substorms, J. Geophys. Res., 105, 12,955-12,974.
27. Sornette, D. (2000), Critical Phenomena in Natural Sciences; Chaos. Fractals, Selforganization and Disorder: Concepts and Tools, Springer, New York.
28. Stepanova, M. V., E. E. Antonova, and O. Troshichev (2003), Intermittency of magnetospheric dynamics through non-Gaussian distribution function of PC-index fluctuations, Geophys. Res. Lett., 30(3), 1127, doi:10.1029/ 2002GL016070.
29. Takalo, J., J. Timonen, and H. Koskinen (1993), Correlation dimension and affinity of AE data and bicolored noise, Geophys. Res. Lett., 20, 1527-1530.
30. Takalo, J., K. Mursula, and J. Timonen (2000), Role of the driver in the dynamics of a coupled-map model of the magnetotail: Does the magnetosphere act as a low-pass filter?, J. Geophys. Res., 105, 27,665-27,672.
31. s driver: A spectral break at 5 hours, Geophys. Res. Lett., 17, 279-282.
32. Ukhorskiy, A. Y., M. I. Sitnov, A. S. Sharma, and K. Papadopoulos (2003), Combining global and multi-scale features in a description of the solar wind-magnetosphere coupling, Annal. Geophys., 21(9), 1913-1929.
33. Uritsky, V. M., and M. I. Pudovkin (1998), Low frequency 1/f-like fluctuations of the AE-index as à possible manifestation of self-organized criticality in the magnetosphere, Annal. Geophys., 16(12), 1580-1588.
34. Uritsky, V. M., A. J. Klimas, and D. Vassiliadis (2001), Comparative study of dynamical critical scaling in the auroral electrojet index versus solar wind fluctuations, Geophys. Res. Lett., 28, 3809-3812.
35. Uritsky, V. M., A. J. Klimas, and D. Vassiliadis (2002a), Multiscale dynamics and robust critical scaling in a continuum current sheet model, Phys. Rev. E, 65(4), 046113.
36. Uritsky, V. M., A. J. Klimas, D. Vassiliadis, D. Chua, and G. Parks (2002b), Scale-free statistics of spatiotemporal auroral emissions as depicted by POLAR UVI images: Dynamic magnetosphere is an avalanching system, J. Geophys. Res., 107(A12), 1426, doi:10.1029/2001JA000281.
37. Uritsky, V. M., A. J. Klimas, and D. Vassiliadis (2003), Evaluation of spreading critical exponents from the spatiotemporal evolution of emission regions in the nighttime aurora, Geophys. Res. Lett., 30(15), 1813, doi:10.1029/2002GL016556.
38. van Kampen, N. G. (1992), Stochastic Processes in Physics and Chemistry, North-Holland, New York.
39. Vassiliadis, D., A. J. Klimas, J. A. Valdivia, and D. N. Baker (2000), The nonlinear dynamics of space weather, Adv. Space. Res., 26, 197-207.
40. Vassiliadis, D., R. S. Weigel, A. J. Klimas, S. G. Kanekal, and R. A. Mewaldt (2003), Modes of energy transfer from the solar wind to the inner magnetosphere, Phys. Plasmas, 10(2), 463-473.
41. Vörös, Z., P. Kovács, Á. Juhász, A. Kōrmendi, and A. W. Green (1998), Scaling laws from geomagnetic time series, J. Geophys. Res., 103,2621-2624.
42. Vörös, Z., D. Jankovièová, and P. Kovács (2002), Scaling and singularity characteristics of solar wind and magnetospheric fluctuations, Nonlinear Proc. Geophys., 9(2), 149-162.
43. Weigel, R. S., and D. N. Baker (2003), Probability distribution invariance of 1-minute auroral-zone geomagnetic field fluctuations, Geophys. Res. Lett., 30(23), 2193, doi:10.1029/2003GL018470.
44. Weigel, R. S., A. J. Klimas, and D. Vassiliadis (2003), Solar wind coupling to and predictability of ground magnetic fields and their time derivatives, J. Geophys. Res., 108(A7), 1298, doi:10.1029/2002JA009627.