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Stationarity of extreme bursts in the solar wind

N. R. Moloney1,2,* and J. Davidsen2,†

  • 1London Mathematical Laboratory, 14 Buckingham Street, London WC2N 6DF, United Kingdom
  • 2Department of Physics and Astronomy, University of Calgary, 2500 University Drive NW, Calgary, Alberta T2N 1N4, Canada

  • *n.moloney@lml.org.uk
  • davidsen@phas.ucalgary.ca

Phys. Rev. E 89, 052812 – Published 22 May, 2014

DOI: https://doi.org/10.1103/PhysRevE.89.052812

Abstract

Recent results have suggested that the statistics of bursts in the solar wind vary with solar cycle. Here, we show that this variation is basically absent if one considers extreme bursts. These are defined as threshold-exceeding events over the range of high thresholds for which their number decays as a power law. In particular, we find that the distribution of duration times and energies of extreme bursts in the solar wind ε parameter and similar observables are independent of the solar cycle and in this sense stationary, and show robust asymptotic power laws with exponents that are independent of the specific threshold. This is consistent with what has been observed for solar flares and, thus, provides evidence in favor of a link between solar flares and extreme bursts in the solar wind.

Article Text

References (43)

  1. D. N. Baker, J. Atmos. Sol. Terr. Phys. 62, 1669 (2000).
  2. M. P. Freeman and N. W. Watkins, Science 298, 979 (2002).
  3. W. D. Gonzalez, B. T. Tsurutani, A. L. C. Gonzalez, E. J. Smith, F. Tang, and S. I. Akasofu, J. Geophys. Res. 94, 8835 (1989).
  4. M. Lockwood and C. Fröhlich, Proc. R. Soc. A 463, 2447 (2007).
  5. L. J. Gray, J. Beer, M. Geller, J. D. Haigh, M. Lockwood, K. Matthes, U. Cubasch, D. Fleitmann, G. Harrison, L. Hood et al., Rev. Geophys. 48, RG4001 (2010).
  6. V. A. Osherovich, J. Fainberg, and R. G. Stone, Geophys. Res. Lett. 26, 2597 (1999).
  7. R. D'Amicis, R. Bruno, and B. Bavassano, Geophys. Res. Lett. 34, 5108 (2007).
  8. S. C. Chapman, B. Hnat, and K. Kiyani, Nonlinear Processes Geophys. 15, 445 (2008).
  9. J. E. Borovsky, Phys. Rev. Lett. 105, 111102 (2010).
  10. M. Aschwanden, Self-Organized Criticality in Astrophysics (Springer, Berlin, 2011).
  11. D. Hughes, M. Paczuski, R. O. Dendy, P. Helander, and K. G. McClements, Phys. Rev. Lett. 90, 131101 (2003).
  12. M. Kretzschmar, T. D. de Wit, W. Schmutz, S. Mekaoui, J.-F. Hochedez, and S. Dewitte, Nat. Phys. 6, 690 (2010).
  13. K. Kiyani, S. C. Chapman, B. Hnat, and R. M. Nicol, Phys. Rev. Lett. 98, 211101 (2007).
  14. N. R. Moloney and J. Davidsen, Geophys. Res. Lett. 38, L14111 (2011).
  15. J. Greenhough, S. C. Chapman, R. O. Dendy, V. M. Nakariakov, and G. Rowlands, Astron. Astrophys. 409, L17 (2003).
  16. M. Baiesi, M. Paczuski, and A. L. Stella, Phys. Rev. Lett. 96, 051103 (2006).
  17. P. Perreault and S. I. Akasofu, Geophys. J. R. Astron. Soc. 54, 547 (1978).
  18. H. E. J. Koskinen and E. Tanskanen, J. Geophys. Res. 107, 1415 (2002).
  19. E. C. Stone, A. M. Frandsen, R. A. Mewaldt, E. R. Christian, D. Margolies, J. F. Ormes, and F. Snow, Space Sci. Rev. 86, 1 (1998).
  20. See http://cdaweb.gsfc.nasa.gov.
  21. J. A. Wanliss and J. M. Weygand, Geophys. Res. Lett. 34, L04107 (2007).
  22. M. P. Freeman, N. W. Watkins, and D. J. Riley, Geophys. Res. Lett. 27, 1087 (2000).
  23. M. P. Freeman, N. W. Watkins, and D. J. Riley, Phys. Rev. E 62, 8794 (2000).
  24. S. Coles, An Introduction to Statistical Modeling of Extreme Values, Springer Series in Statistics (Springer-Verlag, London, 2001).
  25. A. M. Edwards, R. A. Phillips, N. W. Watkins, M. P. Freeman, E. J. Murphy, V. Afanasyev, S. V. Buldyrev, M. G. E. da Luz, E. P. Raposo, H. E. Stanley, et al., Nature (London) 449, 1044 (2007).
  26. D. S. Sivia and J. Skilling, Data Analysis: A Bayesian Tutorial (Oxford University Press, Oxford, 2006), 2nd ed.
  27. G. R. Terrell, Mathematical Statistics: A Unified Introduction (Springer-Verlag, New York, 1999).
  28. A. Clauset, C. R. Shalizi, and M. E. J. Newman, SIAM Rev. 51, 661 (2009).
  29. The matlab code is provided at http://tuvalu.santafe.edu/~aaronc/powerlaws.
  30. J. Wanliss and V. Uritsky, J. Geophys. Res. 115, A03215 (2010).
  31. W. Press, S. Teulkolsky, W. Vetterling, and B. Flannery, Numerical Recipes in C (Cambridge University Press, 1992), 2nd ed.
  32. R. D'Amicis, R. Bruno, B. Bavassano, V. Carbone, and L. Sorriso-Valvo, Ann. Geophys. 24, 2735 (2006).
  33. W. H. Matthaeus, S. Dasso, J. M. Weygand, L. J. Milano, C. W. Smith, and M. G. Kivelson, Phys. Rev. Lett. 95, 231101 (2005).
  34. A. Greco, W. H. Matthaeus, S. Servidio, and P. Dmitruk, Phys. Rev. E 80, 046401 (2009).
  35. M. L. Parkinson, Ann. Geophys. 24, 689 (2006).
  36. N. W. Watkins, D. Credgington, B. Hnat, S. C. Chapman, M. P. Freeman, and J. Greenhough, Space Sci. Rev. 121, 271 (2005).
  37. N. R. Moloney and J. Davidsen, J. Geophys. Res. 115, A10114 (2010).
  38. A. Y. Schumann, N. R. Moloney, and J. Davidsen, in Extreme Events and Natural Hazards—the Complexity Perspective, Vol. 196 of AGU Monograph (AGU, 2012), p. 315ff.
  39. V. M. Uritsky, A. J. Klimas, and D. Vassiliadis, Geophys. Res. Lett. 28, 3809 (2001).
  40. N. W. Watkins, Nonlinear Processes Geophys. 9, 389 (2002).
  41. J. P. Sethna, K. A. Dahmen, and C. R. Myers, Nature (London) 410, 242 (2001).
  42. E. Dalton, I. Clancy, D. Corcoran, A. Arshak, and G. Gooberman, Phys. Rev. Lett. 104, 214101 (2010).
  43. Two-sided χ2 tests between the binned duration distributions of solar max and solar min data for the same quantile give typical p values in the range [0.02, 0.11] for extreme bursts.

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