Nanoflare Statistics from First Principles: Fractal Geometry and Temperature Synthesis
Title | Nanoflare Statistics from First Principles: Fractal Geometry and Temperature Synthesis |
Publication Type | Journal Article |
Year of Publication | 2002 |
Authors | Aschwanden, M. J., and Parnell C. E. |
Journal | Astrophysical Journal |
Volume | 572 |
Pagination | 1048-1071 |
Date Published | Jun |
Abstract | {We derive universal scaling laws for the physical parameters of flarelike processes in a low-β plasma, quantified in terms of spatial length scales l, area A, volume V, electron density n$_{e}$, electron temperature T$_{e}$, total emission measure M, and thermal energy E. The relations are specified as functions of two independent input parameters, the power index a of the length distribution, N(l)\~ l$^{-a}$, and the fractal Haussdorff dimension D between length scales l and flare areas, A(l)\~ l$^{D}$. For values that are consistent with the data, i.e |
DOI | 10.1086/340385 |
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