Period variation of X-ray pulsars and Kelvin-Helmholtz instability at the accretion disk boundary

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Accretion Disks, Kelvin-Helmholtz Instability, Periodic Variations, Pulsars, Stellar Magnetospheres, X Ray Stars, Compressible Fluids, Magnetic Dipoles, Stellar Models, Stellar Rotation, X Ray Binaries

Scientific paper

A sheared layer of finite thickness is introduced between the magnetosphere of a neutron star and its accretion disk in which the velocity, density, pressure and magnetic field vary continuously, and the Kelvin-Helmholtz instability of plane wave perturbations is discussed for the case of a compressible plasma. The results show that the K-H instability is still present and radial wave vector perturbation is the main mode of instability. Particular consideration is given to the effect of the thickness of the sheared layer on the rotation of the neutron star, showing that by suitably adjusting the thickness, it is possible to explain the period changes in the X-ray pulsars. Application of this model to Her X-1 gave a good result.

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