Extended adiabatic blast waves and a model of the soft X-ray background

Computer Science – Numerical Analysis

Scientific paper

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Adiabatic Conditions, Blast Loads, Cosmic X Rays, Coulomb Collisions, Electron Distribution, Explosions, Interstellar Matter, Luminosity, Shock Waves, Approximation, Mathematical Models, Numerical Analysis

Scientific paper

An analytical approximation is generated which follows the development of an adiabatic spherical blast wave in a homogeneous ambient medium of finite pressure. An analytical approximation is also presented for the electron temperature distribution resulting from coulomb collisional heating. The dynamical, thermal, ionization, and spectral structures are calculated for blast waves of energy E0 = 5 x 10 to the 50th power ergs in a hot low-density interstellar environment. A formula is presented for estimating the luminosity evolution of such explosions. The B and C bands of the soft X-ray background, it is shown, are reproduced by such a model explosion if the ambient density is about .000004 cm, the blast radius is roughly 100 pc, and the solar system is located inside the shocked region. Evolution in a pre-existing cavity with a strong density gradient may, it is suggested, remove both the M band and OVI discrepancies.

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