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Despite the recent excitement over the r-mode instability of rotating stars, these modes are not yet well-understood for stellar models appropriate to neutron stars - perfect fluid models in which both the equilibrium and perturbed…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Keith H. Lockitch

We consider the local dynamics of a realistic neutron star core, including composition gradients, superfluidity and thermal effects. The main focus is on the gravity g-modes, which are supported by composition stratification and thermal…

Solar and Stellar Astrophysics · Physics 2015-04-29 A. Passamonti , N. Andersson , W. C. G. Ho

The instability of r-mode oscillations in rapidly rotating neutron stars has attracted attention as a potential mechanism for producing high frequency, almost periodic gravitational waves. The analyses carried so far have shown the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Luciano Rezzolla , Frederick L. Lamb , Dragoljub Markovic , Stuart L. Shapiro

We study stationary axisymmetric configurations of a star model consisting of two barotropic fluids, which are uniformly rotating at two different rotation rates. Analytic approximate solutions in the limit of slow rotation are obtained…

Astrophysics · Physics 2007-05-23 Reinhard Prix

Using numerical simulations based on solving the general relativistic hydrodynamic equations, we study the dynamics of a phase transition in the dense core of isolated rotating neutron stars, triggered by the back bending instability…

Solar and Stellar Astrophysics · Physics 2015-05-13 Harald Dimmelmeier , Michal Bejger , Pawel Haensel , J. Leszek Zdunik

This review focuses on applications of the ideas of superfluidity and superconductivity in neutron stars in a broader context, ranging from the microphysics of pairing in nucleonic superfluids to macroscopic manifestations of superfluidity…

High Energy Astrophysical Phenomena · Physics 2019-03-06 Brynmor Haskell , Armen Sedrakian

We study the tidal response of a superfluid neutron star in a binary system, focussing on Newtonian models with superfluid neutrons present throughout the star's core and the inner crust. Within the two-fluid formalism, we consider the main…

High Energy Astrophysical Phenomena · Physics 2022-06-22 Andrea Passamonti , Nils Andersson , Pantelis Pnigouras

As a follow up to articles dealing firstly with a convective variational formulation in a Milne-Cartan framework for non-dissipative multi fluid models, and secondly with various ensuing stress energy conservation laws and generalised…

Astrophysics · Physics 2009-11-10 Brandon Carter , Nicolas Chamel

It has been well established that the $f$-mode of relativistic ordinary-fluid neutron stars displays a universal scaling behavior. Here we study whether the "ordinary" $f_{\rm o}$- and "superfluid" $f_{\rm s}$-modes of superfluid neutron…

Astrophysics · Physics 2009-07-24 K. S. Wong , L. M. Lin , P. T. Leung

We derive the transport relaxation times for quasiparticle-vortex scattering processes via nuclear force, relevant for the damping of differential rotation of superfluids in the quantum liquid core of a neutron star. The proton scattering…

Astrophysics · Physics 2010-01-06 Armen Sedrakian

We investigate the modal properties of inertial modes of rotating neutron stars with the core filled with neutron and proton superfluids, taking account of entrainment effects between the superfluids. In this paper, the entrainment effects…

Astrophysics · Physics 2009-11-07 Shijun Yoshida , Umin Lee

The recent temperature measurements of the two older isolated neutron stars PSR 1929+10 and PSR 0950+08 (ages of $3\times 10^6$ and $2\times 10^7$ yr, respectively) indicate that these objects are heated. A promising candidate heat source…

Astrophysics · Physics 2009-10-31 Michelle B. Larson , Bennett Link

We probe the superfluid-superconductor dynamics of the rotating outer core of neutron stars through half-vortex states. By means of a generalized hydrodynamic model, where proton and neutron fluids are coupled by both dynamic entrainment…

Nuclear Theory · Physics 2025-05-13 J. A. Gil Granados , A. Muñoz Mateo , X. Viñas

We present an analytic description of the $r$-mode instability in newly-born neutron stars, using the approximation of uniform density. Our computation is consistently accurate to second order in the angular velocity of the star. We obtain…

Astrophysics · Physics 2011-05-23 K. D. Kokkotas , N. Stergioulas

We study the effects of finite stellar temperatures on the oscillations of superfluid neutron stars. The importance of these effects is illustrated with a simple example of a radially pulsating general relativistic star. Two main effects…

Solar and Stellar Astrophysics · Physics 2011-06-07 E. M. Kantor , M. E. Gusakov

Aims: To determine whether ``vortex creep'' in neutron stars, the slow motion of neutron vortices with respect to pinning sites in the core or inner crust, is consistent with observations of long-period precession. Methods: Using the…

Astrophysics · Physics 2009-11-11 Bennett Link

We have developed a new numerical scheme to solve r-mode oscillations of {\it rapidly rotating polytropic stars} in Newtonian gravity. In this scheme, Euler perturbations of the density, three components of the velocity are treated as four…

Astrophysics · Physics 2009-10-31 Shigeyuki Karino , Shin'ichirou Yoshida , Shijun Yoshida , Yoshiharu Eriguchi

I review some of the ideas that have been proposed for the structure of neutron star interiors, and concentrate on the theoretical arguments for the existence of superfluidity in neutron stars. I also discuss the implications of neutron…

High Energy Astrophysical Phenomena · Physics 2019-06-27 J. A. Sauls

Recent work has raised the exciting possibility that r-modes (Rossby waves) in rotating neutron star cores might be strong gravitational wave sources. We estimate the effect of a solid crust on their viscous damping rate and show that the…

Astrophysics · Physics 2009-10-31 Lars Bildsten , Greg Ushomirsky

The thermal evolution of neutron stars (NSs) is investigated by coupling with the evolution of $\textit{r}$-mode instability that is described by a second order model.The heating effect due to shear viscous damping of the $\textit{r}$-modes…

High Energy Astrophysical Phenomena · Physics 2015-05-14 Shu-Hua Yang , Xiao-Ping Zheng , Chun-Mei Pi , Yun-Wei Yu
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