Scaling laws and frequency distributions of avalanche areas in a self-organized criticality model of solar flares

Geophysical Research Letters

Volumn 35, Issue 4, 2008, Pages

  Morales, Laura F ^a   Charbonneau, Paul ^a  

^a UNIVERSITÉ DE MONTRÉAL   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; CELLULAR AUTOMATA; GEOMAGNETISM; MAGNETIC FLUX; MATHEMATICAL MODELS; STATISTICAL METHODS;

NANOFLARES; SELF-ORGANIZED CRITICALITY MODEL; SOLAR FLARES;

SOLAR RADIATION;

AVALANCHE; CELLULAR AUTOMATON; MAGNETIC FIELD; POWER LAW; SOLAR ACTIVITY;

EID: 44249091675     PISSN: 00948276     EISSN: None     Source Type: Journal    
DOI: 10.1029/2007GL032582     Document Type: Article

References (14)

1. Aschwanden, M. J., and C. E. Parnell (2002), Nanoflare statistics from first principles: Fractal geometry and temperature synthesis, Astrophys. J., 572, 1048-1071.
2. Bak, P., C. Tang, and K. Wiesenfeld (1987), Self-organized criticality, Phys. Rev. Lett., 59, 381-384.
3. Charbonneau, P., S. W. McIntosh, H.-L. Liu, and T. J. Bogdan (2001), Avalanche models for solar flares (invited review), Sol. Phys, 203, 321-354.
4. Dahlburg, R. B., J. A. Klimchuk, and S. K. Antiochos (2005), An explanation for the "switch-on" nature of magnetic energy release and its application to coronal heating, Astrophys. J., 622, 1191-1201.
5. Isliker, H., A. Anastasiadis, and L. Vlahos (2000), MHD consistent cellular automata (CA) models. I. Basic features, Astron. Astrophys., 363, 1134-1144.
6. Lu, E. T., and R. J. Hamilton (1991), Avalanches and the distribution of solar flares, Astrophys. J., 380, 89-92.
7. Lu, E. T., R. J. Hamilton, J. M. McTiernan, and K. R. Bromund (1993), Solar flares and avalanches in driven dissipative systems, Astrophys. J., 412, 841-852.
8. McIntosh, S. W., P. Charbonneau, T. J. Bogdan, H.-L. Liu, and J. P. Norman (2002), Geometrical properties of avalanches in self-organized critical models of solar flares, Phys. Rev. E, 65, 46125, doi:10.1103/PhysRevE.65.046125.
9. Morales, L. F., and P. Charbonneau (2008), Self-organized critical model of energy release in an idealized coronal loop, Astrophys. J., in press.
10. Muñoz, M. A., R. Dickman, A. Vespignani, and S. Zapperi (1999), Avalanche and spreading exponents in systems with absorbing states, Phys. Rev. E, 59, 6175-6178.
11. Parker, E. N. (1983), Magnetic neutral sheets in evolving fields, Astrophys. J., 264, 635-647.
12. Parker, E. N. (1988), Nanoflares and the solar X-ray corona, Astrophys. J., 330, 474-479.
13. Uritsky, V. M. and A. J. Klimas (2004), Scaling and predictability of complex geospace disturbances, in Substorms-7: Proceedings of the 7th International Conference on Substorms, edited by N. Ganushkina and T. Pulkkinen, Rep. 2004:5, pp. 51-54, Finn. Meteorol. Inst., Helsinki.
14. 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.