☆ 4.7 Article

Viscous damping of r-modes: Large amplitude saturation

PHYSICAL REVIEW D (2012)

Journal

PHYSICAL REVIEW D

Volume 85, Issue 4, Pages -

Publisher

AMER PHYSICAL SOC

DOI: 10.1103/PhysRevD.85.044051

Keywords

-

Categories

Astronomy & Astrophysics Physics, Particles & Fields

Funding

Offices of Nuclear Physics and High Energy Physics of the U.S. Department of Energy [DE-FG02-91ER40628, DE-FG02-05ER41375]

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Abstract

We analyze the viscous damping of r-mode oscillations of compact stars, taking into account nonlinear viscous effects in the large-amplitude regime. The qualitatively different cases of hadronic stars, strange quark stars, and hybrid stars are studied. We calculate the viscous damping times of r-modes, obtaining numerical results and also general approximate analytic expressions that explicitly exhibit the dependence on the parameters that are relevant for a future spin-down evolution calculation. The strongly enhanced damping of large-amplitude oscillations leads to damping times that are considerably lower than those obtained when the amplitude dependence of the viscosity is neglected. Consequently, large-amplitude viscous damping competes with the gravitational instability at all physical frequencies and could stop the r-mode growth in case this is not done before by nonlinear hydrodynamic mechanisms.

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