Simplified models for the evolution of supernova remnants including particle acceleration

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Cosmic Rays, Particle Acceleration, Shock Waves, Stellar Evolution, Supernova Remnants, Astronomical Models, Differential Equations, Hydrodynamic Equations, Magnetohydrodynamic Waves

Scientific paper

A system of coupled ordinary differential equations is presented which models the dynamical evolution of a supernova remnant including the acceleration of the Galactic cosmic rays. In contrast to earlier two-fluid models the closure parameters needed for a hydrodynamic approximation of the cosmic ray 'gas' are not taken as prescribed constants but are estimated dynamically within the model. Diffusive coupling between the outer shock and the remnant interior is introduced; this is shown to be an important moderator of the acceleration as is heating of the thermal plasma by Alfven wave dissipation. For reasonable estimates of the suprathermal particle injection rate into the acceleration process, of the diffusion coefficient appropriate to the accelerated particles, of the coupling between interior and shock, and of wave heating, solutions are found which appear consistent both with observations of young remnants and the idea that the bulk of the Galactic cosmic rays are produced in supernova remnants.

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