Elasticity of neutron star mantle: improved compressible liquid drop model for cylindrical phases
arXiv:2305.03603 · doi:10.3390/universe9050220
Abstract
Neutron stars are the densest objects in the Universe. They have microscopically homogeneous core and heterogeneous crust. In particular, there may be a specific layer inside neutron stars, the mantle, which consists of substantially non-spherical nuclei immersed in a background of relativistic degenerate electrons and quasi-free neutrons. In this paper we reconsider transverse shear modulus for cylindrical phases of the mantle within the framework of compressible liquid drop model. We demonstrate that transverse shear affects the shape of nuclear clusters: their cross-section becomes elliptical. This effect reduces respective elastic constant. Using a simple model we perform all derivations analytically and obtain the expression for the transverse shear modulus, which can be useful for astrophysical applications.
arXiv comment12 pages, 4 figures, published in Universe
References in corpus (35)
- Unified equation of state for neutron stars on a microscopic basis
- Liquid crystals in the mantles of neutron stars
- A survey of the parameter space of the compressible liquid drop model as applied to the neutron star inner crust
- Astromaterial Science and Nuclear Pasta
- Upper limits on the observational effects of nuclear pasta in neutron stars
- Twist-averaged boundary conditions for nuclear pasta Hartree-Fock calculations
- The Elasticity of Nuclear Pasta
- Parking-garage structures in astrophysics and biophysics
- Nuclear Waffles
- Unified equations of state for cold non-accreting neutron stars with Brussels-Montreal functionals. II. Pasta phases in semi-classical approximation
- Uncertainties in the pasta-phase properties of catalysed neutron stars
- Quantum Nuclear Pasta and Nuclear Symmetry Energy
- The Shear Viscosity and Thermal Conductivity of Nuclear Pasta
- Constraints on Pasta Structure of Neutron Stars from Oscillations in Giant Flares
- Tidal deformations of neutron stars with elastic crusts
- Thermodynamically consistent equation of state for an accreted neutron star crust
- Elastic properties of phases with nonspherical nuclei in dense matter
- Direct Urca Process in a Neutron Star Mantle
- Electron transport through nuclear pasta in magnetized neutron stars
- Fast neutrino cooling of nuclear pasta in neutron stars: molecular dynamics simulations
- Transport properties of nuclear pasta phase with quantum molecular dynamics
- The pasta phase and its consequences on neutrino opacities
- Role of crustal physics in the tidal deformation of a neutron star
- The effect of the energy functional on the pasta-phase properties of catalysed neutron stars
- Bulk viscosity in a neutron star mantle
- Pasta properties of the neutron star within effective relativistic mean-field model
- Nuclear pasta structures and symmetry energy
- Curvature effect on nuclear pasta: Is it helpful for gyroid appearance?
- Formation of Nuclear "Pasta" in Cold Neutron Star Matter
- A Survey of Nuclear Pasta in the Intermediate Density Regime: Structure Functions for Neutrino Scattering
- Nuclear pasta and symmetry energy in the relativistic point-coupling model
- Neutron star inner crust: reduction of shear modulus by nuclei finite size effect
- Anisotropic electron transport in the nuclear pasta phase
- Elastic properties of nuclear pasta in a fully three-dimensional geometry
- Stability of spherical nuclei in the inner crust of neutron stars