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As mature neutron stars are cold (on the relevant temperature scale), one has to carefully consider the state of matter in their interior. The outer kilometer or so is expected to freeze to form an elastic crust of increasingly neutron-rich…

High Energy Astrophysical Phenomena · Physics 2021-03-19 N. Andersson

The diffusive thermal conductivity of neutrons in dense matter [$\rho \sim (1 - 8) \times 10^{14}$ g cm$^{-3}$] of neutron star cores is calculated. The contribution from neutron--neutron and neutron--proton collisions is taken into…

Astrophysics · Physics 2009-11-06 D. A. Baiko , P. Haensel , D. G. Yakovlev

We analyse the implications of superfluid turbulence for neutron star physics. We begin by extending our previous results for the mutual friction force for a straight vortex array to account for the self-induced flow which arises when the…

Astrophysics · Physics 2012-11-16 N. Andersson , T. Sidery , G. L. Comer

We investigate inertial mode oscillations of slowly and uniformly rotating, isentropic, Newtonian stars. Inertial mode oscillations are induced by the Coriolis force due to the star's rotation, and their characteristic frequencies are…

Astrophysics · Physics 2016-08-30 Shijun Yoshida , Umin Lee

We present a Newtonian multi-fluid formalism for superfluid neutron star cores, focussing on the additional dissipative terms that arise when one takes into account the individual dynamical degrees of freedom associated with the coupled…

Solar and Stellar Astrophysics · Physics 2015-06-04 B. Haskell , N. Andersson , G. L. Comer

This article starts by providing an introductory overview of the theoretical mechanics of rotating neutron stars as developped to account for the frequency variations, and particularly the discontinuous glitches, observed in pulsars. The…

Astrophysics · Physics 2007-05-23 Brandon Carter

The r-mode instability in rotating relativistic stars has been shown recently to have important astrophysical implications (including the emission of detectable gravitational radiation, the explanation of the initial spins of young neutron…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Nikolaos Stergioulas , Jose A. Font

With (non-barotropic) equations of state valid even when the neutron, proton and electron content of neutron star cores is not in beta equilibrium, we study inertial and composition gravity modes of relativistic rotating neutron stars. We…

General Relativity and Quantum Cosmology · Physics 2009-11-10 L. Villain , S. Bonazzola , P. Haensel

During a Type-I burst, the turbulent deflagation front may excite waves in the neutron star ocean and upper atmosphere with frequencies, $\omega \sim 1$ Hz. These waves may be observed as highly coherent flux oscillations during the burst.…

Astrophysics · Physics 2009-11-07 Jeremy S. Heyl

The spectrum of radial oscillations of neutron stars is systematically studied within two frameworks of viscous relativistic hydrodynamics: the relativistic Navier-Stokes and Israel-Stewart theories. A correspondence is established between…

General Relativity and Quantum Cosmology · Physics 2026-01-09 Raissa F. P. Mendes , Amanda Guerrieri , João V. M. Muniz , Gabriel S. Rocha , Gabriel S. Denicol

In order to establish whether the unstable r-modes in a rotating neutron star provide a detectable source of gravitational waves, we need to understand the details of the many dissipative processes that tend to counteract the instability.…

Solar and Stellar Astrophysics · Physics 2015-05-18 Brynmor Haskell , Nils Andersson

Rossby waves (r-modes) have been suggested as a means to regulate the spin periods of young or accreting neutron stars, and also to produce observable gravitational wave radiation. R-modes involve primarily transverse, incompressive motions…

Astrophysics · Physics 2009-10-31 Yanqin Wu , Christopher D. Matzner , Phil Arras

We present results concerning the linear (radial and non-radial) oscillations of non-rotating superfluid neutron stars in Newtonian physics. We use a simple two-fluid model to describe the superfluid neutron star, where one fluid consists…

Astrophysics · Physics 2008-11-26 Reinhard Prix , Michel Rieutord

It is shown how to set up a mathematically elegant and fully relativistic superfluid model that can provide a realistic approximation (neglecting small anisotropies due to crust solidity, magnetic fields, et cetera, but allowing for the…

Astrophysics · Physics 2009-10-30 David Langlois , David M. Sedrakian , Brandon Carter

In this article, we investigate inertial modes of rigidly rotating neutron stars, i.e. modes for which the Coriolis force is dominant. This is done using the assumption of a fixed spacetime (Cowling approximation). We present frequencies…

Astrophysics · Physics 2008-11-26 Wolfgang Kastaun

We model the nonlinear saturation of the r-mode instability via three-mode couplings and the effects of the instability on the spin evolution of young neutron stars. We include one mode triplet consisting of the r-mode and two near resonant…

Astrophysics · Physics 2009-10-29 Ruxandra Bondarescu , Saul A. Teukolsky , Ira Wasserman

We study how the frequencies and damping times of oscillations of a newly born, hot proto-neutron star depend on the physical quantities which characterize the star quasi-stationary evolution which follows the bounce. Stellar configurations…

Solar and Stellar Astrophysics · Physics 2011-08-12 G. F. Burgio , V. Ferrari , L. Gualtieri , H. J. Schulze

We investigate the compressional modes of cold neutron stars with cores consisting of superfluid neutrons, superconducting protons and normal fluid electrons and muons, and crusts that contain superfluid neutrons plus a normal fluid of…

High Energy Astrophysical Phenomena · Physics 2018-10-15 P. B. Rau , I. Wasserman

We study the effect of temperature on secular, compositional $g$-modes in the core of inviscid neutron stars. Using a chiral $SU(2)_f$ sigma model, we construct isentropic temperature profiles for hot and dense matter and find that the…

High Energy Astrophysical Phenomena · Physics 2026-04-17 David Morales-Zapien , Prashanth Jaikumar , Thomas Klähn

We investigate the dynamics of r modes at amplitudes in the nonlinear regime for rapidly but uniformly rotating neutron stars with a polytropic equation of state. For this, we perform three-dimensional relativistic hydrodynamical…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Wolfgang Kastaun
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