The thermal stability of coronal loops by nonlinear diffusion asymptotics

Details The thermal stability of coronal loops by nonlinear diffusion asymptotics The thermal stability of coronal loops by nonlinear diffusion asymptotics

Jun 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987a%26a...179..285p&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 179, no. 1-2, June 1987, p. 285-293.

Statistics

Computation

6

Asymptotic Methods, Computational Astrophysics, Coronal Loops, Nonlinear Equations, Plasma Diffusion, Thermal Stability, Solar Corona, Solar X-Rays, Stellar Temperature, X Ray Stars

Scientific paper

The thermal structure of the plasma in coronal loops is re-investigated. The authors assume that the plasma is confined to move along the field lines because of the high plasma β and study the time variability of the temperature structure of the plasma along a field line. With the supposition that the evolution of the plasma takes place on the thermal timescale, which is much larger than the dynamical timescale, they derive a nonlinear reaction-diffusion equation (and some additional constraints) that describes the time-dependent behaviour of the temperature structure. This equation is studied with the use of nonlinear diffusion asymptotics, in particular singular perturbation techniques.

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