V. I. Abramenko, V. B. Yurchyshyn, and V. Carbone, Magnetic fields and Solar Processes, ESA SP-448, vol.2, p.679, 1999.

M. J. Aschwanden, T. D. Tarbell, R. W. Nightingale, C. J. Schrijver, A. Title et al., Time Variability of the ?Quiet? Sun Observed withTRACE. II. Physical Parameters, Temperature Evolution, and Energetics of Extreme?Ultraviolet Nanoflares, The Astrophysical Journal, vol.535, issue.2, pp.1047-1065, 2000.

P. Bak, C. Tang, and K. Wiesenfeld, Self-organized criticality, Physical Review A, vol.38, issue.1, pp.364-374, 1988.

A. O. Benz, S. Krucker, and L. W. Acton, A&A, vol.320, p.993, 1997.

A. O. Benz and S. Krucker, Solar Physics, vol.182, issue.2, pp.349-363, 1998.

V. Krasnoselskikh, Quiet Sun coronal heating

A. O. Benz and S. Krucker, A&A, vol.341, p.286, 1999.

D. Berghmans and F. Clette, Solar Physics, vol.186, issue.1/2, pp.207-229, 1999.

D. Biskamp, Nonlinear Magnetohydrodynamics, Nonlinear Magnetohydrodynamics, 1993.

G. Boffetta, V. Carbone, P. Giuliani, P. Veltri, and A. Vulpiani, Power Laws in Solar Flares: Self-Organized Criticality or Turbulence?, Physical Review Letters, vol.83, issue.22, pp.4662-4665, 1999.

N. B. Crosby, M. J. Aschwanden, and B. R. Dennis, Frequency distributions and correlations of solar X-ray flare parameters, Solar Physics, vol.143, issue.2, pp.275-299, 1993.

G. Einaudi and M. Velli, Nanoflares and current sheet dissipation, Space Science Reviews, vol.68, issue.1-4, pp.97-102, 1994.

G. Einaudi and M. Velli, Advances in Solar Physics, Advances in Solar Physics, vol.432, p.149, 1994.

G. Einaudi and M. Velli, The distribution of flares, statistics of magnetohydrodynamic turbulence and coronal heating, Physics of Plasmas, vol.6, issue.11, pp.4146-4153, 1999.

G. Einaudi,, M. Velli,, H. Politano,, and A. Pouquet, Energy Release in a Turbulent Corona, The Astrophysical Journal, vol.457, issue.2, p.113, 1996.

V. G. Eselevich, A. G. Eskov, and R. H. Kurtmulaev, Zh. Eksp. Teor. Fiz, vol.60, p.2079, 1971.

U. Frisch, Turbulence, 1995.
URL : https://hal.archives-ouvertes.fr/hal-00630884

A. A. Galeev, R. Z. Sagdeev, H. P. Furth, and M. N. Rosenbluth, Plasma Diffusion in a Toroidal Stellarator, Physical Review Letters, vol.22, issue.11, pp.511-514, 1969.

A. A. Galeev, R. Z. Sagdeev, V. D. Shapiro, and V. I. Shevchenko, Macroscopic Consequences of the Langmuir Waves Collapse, Plasma Physics, vol.2, pp.188-201, 1977.

A. A. Galeev, Basics of Plasma Physics, vol.2, p.305, 1984.

T. Geisel and S. Thomae, Anomalous Diffusion in Intermittent Chaotic Systems, Physical Review Letters, vol.52, issue.22, pp.1936-1939, 1984.

M. K. Georgoulis and L. Vlahos, Coronal Heating by Nanoflares and the Variability of the Occurrence Frequency in Solar Flares, The Astrophysical Journal, vol.469, issue.2, pp.L135-L138, 1996.

M. K. Georgoulis, M. Velli, and G. Einaudi, Statistical Properties of Magnetic Activity in the Solar Corona, The Astrophysical Journal, vol.497, issue.2, pp.957-966, 1998.

M. K. Georgoulis and L. Vlahos, A&A, vol.336, p.721, 1998.

M. K. Georgoulis, R. Kluiving, and L. Vlahos, Extended instability criteria in isotropic and anisotropic energy avalanches, Physica A: Statistical Mechanics and its Applications, vol.218, issue.1-2, pp.191-213, 1995.

M. K. Georgoulis, N. Vilmer, and N. B. Crosby, A comparison between statistical properties of solar X-ray flares and avalanche predictions in cellular automata statistical flare models, Astronomy & Astrophysics, vol.367, issue.1, pp.326-338, 2001.

P. Grassberger and H. Kantz, On a forest fire model with supposed self-organized criticality, Journal of Statistical Physics, vol.63, issue.3-4, pp.685-700, 1991.

R. A. Harrison, The Corona and Solar Wind Near Minimum Activity, vol.404, 1997.

G. A. Held, D. H. Solina, H. H. Solina, D. T. Keane, W. J. Haag et al., Experimental study of critical-mass fluctuations in an evolving sandpile, Physical Review Letters, vol.65, issue.9, pp.1120-1123, 1990.

H. J. Jensen, Self-Organized Criticality, Self-Organized Criticality, 1998.

H. Isliker, A. Anastasiadis, and D. Vassiliadis, A&A, vol.335, p.1085, 1998.

K. Kaneko, Overview of coupled map lattices, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol.2, issue.3, pp.279-282, 1992.

S. Koutchmy, H. Hara, K. Shibata, Y. Suematsu, and K. Reardon, SXR Coronal Polar Jets and Recurrent Flashes, Astrophysics and Space Science Library, vol.320, pp.87-94, 1998.

S. Krucker and A. O. Benz, Energy Distribution of Heating Processes in the Quiet Solar Corona, The Astrophysical Journal, vol.501, issue.2, pp.L213-L216, 1998.

S. Krucker and A. O. Benz, Solar Physics, vol.191, issue.2, pp.341-358, 2000.

R. P. Lin, R. A. Schwartz, S. R. Kane, R. M. Pelling, and K. C. Hurley, Solar hard X-ray microflares, The Astrophysical Journal, vol.283, p.421, 1984.

E. T. Lu and R. J. Hamilton, Avalanches and the distribution of solar flares, The Astrophysical Journal, vol.380, p.L89, 1991.

E. T. Lu, R. J. Hamilton, J. M. Mctiernan, and K. R. Bromund, Solar flares and avalanches in driven dissipative systems, The Astrophysical Journal, vol.412, p.841, 1993.

M. Kraev, U. Benz, and A. O. , A&A, vol.330, p.474, 1988.

C. E. Parnell and P. E. Jupp, Statistical Analysis of the Energy Distribution of Nanoflares in the Quiet Sun, The Astrophysical Journal, vol.529, issue.1, pp.554-569, 2000.

H. E. Petchek, AAS/NASA, Symp. Physics of Solar Flares, p.425, 1964.

O. Podladchikova, B. Lefebvre, V. Krasnoselskikh, and V. Podladchikov, Classification of probability densities on the basis of Pearson?s curves with application to coronal heating simulations, Nonlinear Processes in Geophysics, vol.10, issue.4/5, pp.323-333, 2003.

O. Podladchikova, V. E. Krasnoselskikh, C. R. Foley, and J. Heyvaerts, Nature, vol.393, p.545, 1998.

E. R. Priest, C. R. Foley, J. Heyvaerts, T. D. Arber, D. Mackay et al., A Method to Determine the Heating Mechanisms of the Solar Corona, The Astrophysical Journal, vol.539, issue.2, pp.1002-1022, 2000.

E. R. Priest and T. Forbes, Magnetic Reconnection, Magnetic Reconnection, 2000.

T. Shimizu, S. Tsuneta, L. W. Acton, J. R. Lemen, Y. Ogawara et al., Morphology of active region transient brightenings with the YOHKOH Soft X-ray Telescope, The Astrophysical Journal, vol.422, p.906, 1994.

D. Sornette, A. Johansen, and I. Dornic, Mapping Self-Organized Criticality onto Criticality, Journal de Physique I, vol.5, issue.3, pp.325-335, 1995.
URL : https://hal.archives-ouvertes.fr/jpa-00247058

B. V. Somov and S. I. Syrovatskii, Current sheets as the source of heating for solar active regions, Solar Physics, vol.55, issue.2, pp.393-399, 1977.

S. I. Syrovatsky, Book reviews, Medical Mycology, vol.19, issue.2, pp.161-163, 1981.

S. I. Syrovatsky, Erratum, Solar Physics, vol.76, issue.1, pp.199-199, 1982.

D. Vassiliadis, A. Anastasiadis, M. Georgoulis, and L. Vlahos, Derivation of Solar Flare Cellular Automata Models from a Subset of the Magnetohydrodynamic Equations, The Astrophysical Journal, vol.509, issue.1, pp.L53-L56, 1998.

G. E. Vekstein and E. R. Priest, Nonlinear magnetic reconnection with collisionless dissipation, Physics of Plasmas, vol.2, issue.8, pp.3169-3178, 1995.

A. Vespignani and S. Zapperi, How self-organized criticality works: A unified mean-field picture, Physical Review E, vol.57, issue.6, pp.6345-6362, 1998.

L. Vlahos, Space Sci. Rev, vol.68, p.39, 1994.

L. Vlahos, M. Georgoulis, and R. Kluiving, A&A, vol.299, p.897, 1995.

R. Woo and S. R. Habbal, ApJ, vol.474, p.139, 1997.