The instability of gravity-capillary waves in the strong electric and magnetic fields on a neutron-star surface

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Capillary Waves, Gravity Waves, Neutron Stars, Stellar Magnetic Fields, Approximation, Electric Fields, Liquid Metals, Perturbation Theory, Polar Caps, Problem Solving, Stellar Rotation, Transport Properties

Scientific paper

We investigate the amplification of gravity-capillary waves on the surface of a liquid metal, immersed in a strong magnetic field, by an external electric field. The implication for the physical situation characteristic for the surface of a neutron star is discussed. In particular, we consider in this paper the magnetic polar-cap region of a neutron star, with the following parameters: the surface magnetic field (1-2) x 1012 G; the mass density of matter (iron) in the very surface layer iO~ g cm 3; the rotationally- induced electric field near the surface 1O~~ iO~ CGSE, to be assumed. It is shown that the instability of gravity-capillary waves develops when the temperature of the liquid phase of matter ~ iO~ K and the binding energy of ions within the surface 0.1-0.2 keY. The growth time (`-` 10-p s) and the characteristic length-scale (.- 10-n cm) of the instability are estimated. We point out the possibility that this instability can initiate an intensive generation of charged particles by the neutron stars (radio pulsars)

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