Acoustic waves in the solar atmosphere. II - Radiative damping. III - A theoretical temperature minimum

Computer Science – Sound

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Acoustic Propagation, Radiative Transfer, Solar Atmosphere, Sound Waves, Atmospheric Heating, Damping, Entropy, Hydrodynamic Equations, Shock Discontinuity

Scientific paper

A method is described for calculating radiative damping of large-amplitude acoustic waves propagating in the solar photosphere and low chromosphere. The basic radiation expressions to be used with the time-dependent hydrodynamic equations are derived, the equation of radiative transfer is solved numerically for an atmosphere in which shock discontinuities may arise, and approximations valid in different limiting cases are considered. The numerical solution is tested against an exact solution, and the transfer equation is combined with the hydrodynamic equations to construct a model atmosphere in radiative equilibrium. The methods developed are then employed to determine theoretically the location of the temperature minimum and to investigate the validity of the short-period acoustic-heating theory for the solar atmosphere. A perturbation approach is adopted to compute radiative damping of the acoustic waves, and the time behavior of acoustic waves with various periods is evaluated. The results are taken as convincing evidence that short-period acoustic waves constitute the main chromospheric heating mechanism.

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