Nanoflare Frequency Distribution Scaling from Wave Heating: Results of Nonlinear Loop Modeling

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The statistics of nanoflare events observed by TRACE in the EUV and Yohkoh in soft X-rays exhibits a power law relation between the peak thermal energy and the number of events per energy interval. Using 1D coronal loop model with nonlinear coupling to the chromosphere (Ofman, Klimchuk, and Davila 1998) we calculate the distribution of heating events due to the dissipation of waves driven by a random Alfven wave source. Initial results show that the number of heating events per energy bin scale with energy with the power of 2+/- 0.4. The scaling is consistent with the observed value of 1.86+/-0.07 at 171Å and 1.81+/-0.10 at 195Å found with TRACE (Aschwanden and Parnell 2002). Thus, we conclude that in the nanonflare energy range (E<1028 erg) the observed frequency distribution of peak energy is consistent with wave heating.

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