Conditions for Persistent Gravitational Radiation from Accreting Neutron Stars

Physics

Scientific paper

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Scientific paper

The gravitational-wave and accretion driven evolution of neutron stars in LMXBsis studied. If the viscosity is independent of temperature (as for mutualfriction), the amplitude of an r-mode (and the angular velocity of the neutronstar) oscillates about its equilibrium value (roughly 10^{-5}) with a period ofa few hundred years (for the maximum accretion rate). But the energy of of theoscillation (and thus the amount of over- and undershooting of the equilibriumamplitude) increases by a fractional amount per cycle of order the maximumamplitude (roughly 10^{-4}). The amplitude is greater than the equilibriumvalue for approximately 10 % of the cycle. The oscillation of the neutron startemperature is also computed. For temperature-dependent viscosity, the stabilityof the equilibrium is studied.

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