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The entrainment matrix (also termed the Andreev-Bashkin matrix or the mass-density matrix) for a neutron-proton mixture is derived at a finite temperature in a neutron star core. The calculation is performed in the frame of the Landau…

Astrophysics · Physics 2007-05-23 M. E. Gusakov , P. Haensel

Mutual entrainment effects in hot neutron-proton superfluid mixtures are studied in the framework of the self-consistent nuclear energy-density functional theory. The local mass currents in homogeneous or inhomogeneous nuclear systems,…

Nuclear Theory · Physics 2021-02-24 Valentin Allard , Nicolas Chamel

We calculate the important quantity of superfluid hydrodynamics, the relativistic entrainment matrix for a nucleon-hyperon mixture at arbitrary temperature. In the nonrelativistic limit this matrix is also termed the Andreev-Bashkin or…

Solar and Stellar Astrophysics · Physics 2009-08-18 M. E. Gusakov , E. M. Kantor , P. Haensel

Mutual entrainment effects in cold neutron-proton mixtures are studied in the framework of the self-consistent nuclear energy-density functional theory. Exact expressions for the mass currents, valid for both homogeneous and inhomogeneous…

Nuclear Theory · Physics 2021-02-05 Nicolas Chamel , Valentin Allard

In spite of the absence of viscous drag, the neutron superfluid permeating the inner crust of a neutron star cannot flow freely, and is entrained by the nuclear lattice similarly to laboratory superfluid atomic gases in optical lattices.…

High Energy Astrophysical Phenomena · Physics 2017-10-25 N. Chamel

The superfluid drag effect, in hydrodynamics of pulsating neutron stars, is conventionally described with the aid of the entrainment matrix relating the mass currents with the velocities of superfluid flows in the system. Equations for the…

High Energy Astrophysical Phenomena · Physics 2017-07-17 Lev B. Leinson

We study the entrainment effect between superfluid neutrons and charge neutral fluid (called the proton fluid) which is made of protons and electrons in neutron star interior within the two fluid formalism and using a relativistic model…

High Energy Astrophysical Phenomena · Physics 2014-01-22 Apurba Kheto , Debades Bandyopadhyay

We construct equilibrium configurations of magnetized, two-fluid neutron stars using an iterative numerical method. Working in Newtonian framework we assume that the neutron star has two regions: the core, which is modelled as a…

High Energy Astrophysical Phenomena · Physics 2015-08-18 K. Palapanidis , N. Stergioulas , S. K. Lander

We calculate the relativistic entrainment matrix Y_ik at zero temperature for nucleon-hyperon mixture composed of neutrons, protons, Lambda and Sigma^- hyperons, as well as of electrons and muons. This matrix is analogous to the entrainment…

High Energy Astrophysical Phenomena · Physics 2009-06-30 M. E. Gusakov , E. M. Kantor , P. Haensel

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

Temperature and velocity-dependent $^1$S$_0$ pairing gaps, chemical potentials and entrainment matrix in dense homogeneous neutron-proton superfluid mixtures constituting the outer core of neutron stars, are determined fully…

Nuclear Theory · Physics 2022-03-18 Valentin Allard , Nicolas Chamel

We develop a formalism to model slowly rotating superfluid Newtonian neutron stars. A two-fluid model is used to describe the matter, where one fluid is the superfluid neutrons that are believed to exist in the inner crust and core of…

Astrophysics · Physics 2009-11-06 R. Prix , G. L. Comer , N. Andersson

It is considered a closed system of non-linear equations for the entrainment matrix of a non-relativistic mixture of superfluid nucleons at arbitrary temperatures below the onset of neutron superfluidity, which takes into account the…

Nuclear Theory · Physics 2018-07-30 Lev B. Leinson

We present a numerical model for uniformly rotating superfluid neutron stars, for the first time with realistic microphysics including entrainment, in a fully general relativistic framework. We compute stationary and axisymmetric…

High Energy Astrophysical Phenomena · Physics 2016-11-04 Aurélien Sourie , Micaela Oertel , Jérôme Novak

Building on a general variational framework for multi-fluid dynamics, we discuss finite temperature effects in superfluids. The main aim is to provide insight into the modelling of more complex finite temperature superfluid systems, like…

Other Condensed Matter · Physics 2011-08-26 N. Andersson , G. L. Comer

Mature neutron stars are expected to contain various kinds of superfluids in their interiors. Modeling such stars requires the knowledge of the mutual entrainment couplings between the different condensates. We present a unified equation of…

High Energy Astrophysical Phenomena · Physics 2015-05-20 N. Chamel , J. M. Pearson , S. Goriely

We consider the hydrodynamics of the outer core of a neutron star under conditions when both neutrons and protons are superfluid. Starting from the equation of motion for the phases of the wave functions of the condensates of neutron pairs…

Quantum Gases · Physics 2017-03-02 D. N. Kobyakov , C. J. Pethick

Both relativistic and non-relativistic two-fluid models of neutron star cores are constructed, using the constrained variational formalism developed by Brandon Carter and co-workers. We consider a mixture of superfluid neutrons and…

Astrophysics · Physics 2008-08-05 N. Chamel

The interior of mature neutron stars is expected to contain superfluid neutrons and superconducting protons. The influence of temperature and currents on superfluid properties is studied within the self-consistent time-dependent nuclear…

Nuclear Theory · Physics 2026-05-21 Valentin Allard , Nicolas Chamel

We present a systematic survey the range of predictions of the neutron star inner crust composition, crust-core transition densities and pressures, and density range of the nuclear `pasta' phases at the bottom of the crust provided by the…

Solar and Stellar Astrophysics · Physics 2015-05-30 W. G. Newton , M. Gearheart , Bao-An Li
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