Cosmic-ray-modified stellar winds. II - A perturbation approach

Astronomy and Astrophysics – Astrophysics

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Galactic Cosmic Rays, Perturbation Theory, Shock Waves, Stellar Winds, Finite Difference Theory, Gas Pressure, Hydrodynamic Equations, Radiation Pressure, Wind Velocity

Scientific paper

A perturbation method is developed to describe the modification of a stellar wind flow with termination shock by the Galactic cosmic rays. The perturbation parameter epsilon used in the analysis is the ratio of the galactic cosmic-ray pressure to the thermal gas pressure at a large distance from the star. The positive galactic cosmic-ray pressure gradient serves to brake the outflowing stellar wind gas, particularly just upstream of the termination shock of the wind. A one-fluid polytropic model is used to describe the thermal stellar wind gas, with the coupling between the cosmic rays and the thermal gas being determined by an average hydrodynamical diffusion coefficient kappa describing the scattering of cosmic rays by magnetohydrodynamic waves traveling in the background flow. The analysis takes into account cosmic-ray modifications of the critical point of the wind, the thermal gas entropy constants on both sides of the shock, and the fluid velocity profile.

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