Statistics – Computation
Scientific paper
Apr 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989apj...339.1123b&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 339, April 15, 1989, p. 1123-1131. Research supported by SERC and Nuffield
Statistics
Computation
2
Magnetohydrodynamics, Solar Atmosphere, Solar Flares, Solar Heating, Computational Astrophysics, Plasma Heating, Stellar Models
Scientific paper
The one-dimensional hydrodynamic problem in Lagrangian coordinates (Y, t) is considered for which the specific energy input Q has a power-law dependence on both Y and t, and the initial density distribution is rho(0) which is directly proportional to Y exp gamma. In regimes where the contributions of radiation, conduction, quiescent heating, and gravitational terms in the energy equation are negligible compared to those arising from Q, the problem has a self-similar solution, with the hydrodynamic variables depending only on a single independent variable which is a combination of Y, t, and the dimensional constants of the problem. It is then shown that the problem of solar flare chromospheric heating due to collisional interaction of a beam of electrons (or protons) with a power-law energy spectrum can be approximated by such forms of Q(Y, t) and rho(0)(Y), and that other terms are negligible compared to Q over a restricted regime early in the flare.
Brown John C.
Emslie Gordon A.
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