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.
12 pages, 4 figures, published in Universe
References in corpus (15)
- 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
- The Shear Viscosity and Thermal Conductivity of Nuclear Pasta
- Thermodynamically consistent equation of state for an accreted neutron star crust
- Transport properties of nuclear pasta phase with quantum molecular dynamics
- The pasta phase and its consequences on neutrino opacities
- The effect of the energy functional on the pasta-phase properties of catalysed neutron stars
- Pasta properties of the neutron star within effective relativistic mean-field model
- Curvature effect on nuclear pasta: Is it helpful for gyroid appearance?
- 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