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Flare loops heated by thermal conduction
Authors:David M Rust  Boris V Somov
Affiliation:(1) American Science and Engineering, Inc., 02139 Cambridge, MA, U.S.A.;(2) Present address: Applied Physics Laboratory, The Johns Hopkins University, 20707 Laurel, MD, U.S.A.;(3) P. N. Lebedev Physical Institute, Moscow, U.S.S.R.
Abstract:A flare observed with the Hard X-Ray Imaging Spectrometer (HXIS) was studied during its rise to maximum temperature and X-ray emission rate. Two proximate flare loops, of lengths 2.8 × 109 cm and 1.1 × 1010 cm, rose to temperatures of 21.5 × 106 K and 30 × 106 K, respectively, in 30 s. Assuming equal heat flux F into each loop from a thermal source at the point where they met, we derive a simple relationship between temperature T and loop length 
$$L:T = (\tfrac{7}{2}(FL/K))^{2  7} $$
, which gives a loop temperture ratio of 0.68, in close agreement with the observed ratio of 0.72. The observations imply that heating in each loop was maintained by a thermal flux of sim 5 × 109 ergs cm-2 s-1. It is suggested that conductive heating adequately describes the rise and maximum phase emissions in the loops and that long flare loops reach higher temperatures than short loops during the impulsive phase because of an equipartition of energy between them at their point of interaction.
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