Cooling of solar flares plasmas. 1: Theoretical considerations

Abstract

view Abstract Citations (174) References (33) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Cooling of Solar Flare Plasmas. I. Theoretical Considerations Cargill, Peter J. ; Mariska, John T. ; Antiochos, Spiro K. Abstract Theoretical models of the cooling of flare plasma are reexamined. By assuming that the cooling occurs in two separate phase where conduction and radiation, respectively, dominate, a simple analytic formula for the cooling time of a flare plasma is derived. Unlike earlier order-of-magnitude scalings, this result accounts for the effect of the evolution of the loop plasma parameters on the cooling time. When the conductive cooling leads to an 'evaporation' of chromospheric material, the cooling time scales L5/6/p1/6, where the coronal phase (defined as the time maximum temperature). When the conductive cooling is static, the cooling time scales as L3/4n1/4. In deriving these results, use was made of an important scaling law (T proportional to n2) during the radiative cooling phase that was forst noted in one-dimensional hydrodynamic numerical simulations (Serio et al. 1991; Jakimiec et al. 1992). Our own simulations show that this result is restricted to approximately the radiative loss function of Rosner, Tucker, & Vaiana (1978). for different radiative loss functions, other scaling result, with T and n scaling almost linearly when the radiative loss falls off as T-2. It is shown that these scaling laws are part of a class of analytic solutions developed by Antiocos (1980). Publication: The Astrophysical Journal Pub Date: February 1995 DOI: 10.1086/175240 Bibcode: 1995ApJ...439.1034C Keywords: Cooling; Coronal Loops; Magnetohydrodynamics; Numerical Analysis; Plasmas (Physics); Solar Flares; Conductive Heat Transfer; Mathematical Models; Radiative Heat Transfer; Scaling Laws; Temperature Distribution; Solar Physics; MAGNETOHYDRODYNAMICS: MHD; PLASMAS; SUN: CORONA; SUN: FLARES full text sources ADS |