Domains and defects in nuclear "pasta"

Abstract

Nuclear pasta topology is an essential ingredient to determine transport properties in the inner crust of neutron stars. We perform semi-classical molecular dynamics simulations of nuclear pasta for proton fractions $Y_p=0.30$ and $Y_p=0.40$ near one third of nuclear saturation density, $n=0.05{\mathrm{fm}}^{-3}$, at a temperature $T=1.0\mathrm{MeV}$. Our simulations are, to our knowledge, the largest nuclear pasta simulations to date and contain up to $3276800$ nucleons in the $Y_p=0.30$ and $819200$ nucleons in the $Y_p=0.40$ case. An algorithm to determine which nucleons are part of a given sub-domain in the system is presented. By comparing runs of different sizes we study finite size effects, equilibration time, the formation of multiple domains and defects in the pasta structures, as well as the structure factor dependence on simulation size. Although we find qualitative agreement between the topological structure and the structure factors of runs with $51200$ nucleons and those with $819200$ nucleons or more, we show that simulations with hundreds of thousands of nucleons may be necessary to accurately predict pasta transport properties.

arXiv comment21 pages and 21 figures. Submitted to Physical Review C

References in corpus (78)

• Neutrino-pasta scattering: the opacity of nonuniform neutron-rich matter
• Disordered nuclear pasta, magnetic field decay, and crust cooling in neutron stars
• Nuclear pasta structures and the charge screening effect
• First search for gravitational waves from known pulsars with Advanced LIGO
• Dynamical response of the nuclear pasta in neutron star crusts
• A highly resistive layer within the crust of X-ray pulsars limits their spin periods
• Nonuniform Neutron-Rich Matter and Coherent Neutrino Scattering
• Structure of the inner crust of neutron stars: crystal lattice or disordered phase ?
• Liquid crystals in the mantles of neutron stars
• Structure of cold nuclear matter at subnuclear densities by Quantum Molecular Dynamics
• Nuclear Pasta Formation
• Formation of Nuclear "Pasta" in Supernovae
• Astromaterial Science and Nuclear Pasta
• Quantum Molecular Dynamics Approach to the Nuclear Matter Below the Saturation Density
• Upper limits on the observational effects of nuclear pasta in neutron stars
• Thermodynamic properties of nuclear "pasta" in neutron star crusts
• Twist-averaged boundary conditions for nuclear pasta Hartree-Fock calculations
• The Vlasov formalism for extended relativistic mean field models: the crust-core transition and the stellar matter equation of state
• Phase diagram of nuclear "pasta" and its uncertainties in supernova cores
• Warm pasta phase in the Thomas-Fermi approximation
• The Elasticity of Nuclear Pasta
• The neutron star inner crust and symmetry energy
• Rapid neutrino cooling in the neutron star MXB 1659-29
• Parking-garage structures in astrophysics and biophysics
• Pasta Nucleosynthesis: Molecular dynamics simulations of nuclear statistical equilibrium
• Nuclear Waffles
• Appearance of the Single Gyroid Network Phase in Nuclear Pasta Matter
• A lower limit on the heat capacity of the neutron star core
• Nuclear "pasta" structures in low-density nuclear matter and neutron star crust
• Time-Dependent Hartree-Fock Approach to Nuclear Pasta at Finite Temperature
• Microscopic Study of Slablike and Rodlike Nuclei: Quantum Molecular Dynamics Approach
• Light clusters, pasta phases and phase transitions in core-collapse supernova matter
• Phases of hot nuclear matter at subnuclear densities
• Quantum Nuclear Pasta and Nuclear Symmetry Energy
• Topological characterization of neutron star crusts
• Influence of the symmetry energy on nuclear pasta in neutron star crusts
• Late time cooling of neutron star transients and the physics of the inner crust
• The Shear Viscosity and Thermal Conductivity of Nuclear Pasta
• Three dimensional structure of low-density nuclear matter
• Impact of nuclear "pasta" on neutrino transport in collapsing stellar cores
• Gyroid Phase in Nuclear Pasta
• The cooling of the Cassiopeia A neutron star as a probe of the nuclear symmetry energy and nuclear pasta
• The thermal state of KS 1731-260 after 14.5 years in quiescence
• Shear Viscosity and Oscillations of Neutron Star Crusts
• Effect of topological defects on "nuclear pasta" observables
• Diffusion in Coulomb Crystals
• Nuclear Pasta Matter for Different Proton Fractions
• Electron transport through nuclear pasta in magnetized neutron stars
• Transport properties of nuclear pasta phase with quantum molecular dynamics
• Quantum Simulations of Nuclei and Nuclear Pasta with the Multi-resolution Adaptive Numerical Environment for Scientific Simulations
• Light Clusters and Pasta Phases in Warm and Dense Nuclear Matter
• Correlation of the neutron star crust-core properties with the slope of the symmetry energy and the lead skin thickness
• The pasta phase and its consequences on neutrino opacities
• Effects of Neutrino Trapping on Thermodynamic Properties of Nuclear ``Pasta''
• Effect of Coulomb Screening Length on Nuclear Pasta Simulations
• Low density nuclear matter with quantum molecular dynamics : The role of the symmetry energy
• Phase transitions in Core-Collapse Supernova Matter at sub-saturation densities
• Beyond Nuclear Pasta: Phase Transitions and Neutrino Opacity of Non-Traditional Pasta
• Proton fraction in the inner neutron-star crust
• Dynamical properties of nuclear and stellar matter and the symmetry energy
• Phase transitions and symmetry energy in nuclear pasta
• Curvature effect on nuclear pasta: Is it helpful for gyroid appearance?
• Quasi-periodic oscillations in superfluid, relativistic magnetars with nuclear pasta phases
• Shear viscosity in magnetized neutron star crust
• Nuclear pasta and supernova neutrinos at late times
• Nuclear pasta in hot dense matter and its implications for neutrino scattering
• The Neutrino Opacity of Neutron Star Inner Crust
• Warm unstable asymmetric nuclear matter: critical properties and the density dependence of the symmetry energy
• Dynamics of Fragment Formation in Neutron Rich Matter
• Application of superconducting-superfluid magnetohydrodynamics to nuclear "pasta" in neutron stars
• Finite size effects in Neutron Star and Nuclear matter simulations
• Neutrino diffusion in the pasta phase matter within the Thomas-Fermi approach
• Effect of the Coulomb interaction on the liquid-gas phase transition of nuclear matter
• Multi-messenger observations of neutron rich matter
• Topological analysis of nuclear pasta phases
• Coulomb screening effect on the nuclear-pasta structure
• Magnetic field effect on nuclear matter from skyrmion crystal model
• A dynamical description of neutron star crusts

Cited by in corpus (15)

• Warming Nuclear Pasta with Dark Matter: Kinetic and Annihilation Heating of Neutron Star Crusts
• A Neutron Star is born
• Fast neutrino cooling of nuclear pasta in neutron stars: molecular dynamics simulations
• Dark particle mass effects on neutron star properties from a short-range correlated hadronic model
• Glassy quantum nuclear pasta in neutron star crusts
• Analytic SU(N) Skyrmions at finite Baryon density
• Non-Axisymmetric Precession of Magnetars and Fast Radio Bursts
• Analytic multi-Baryonic solutions in the SU(N)-Skyrme model at finite density
• Pasta fluctuations in symmetric matter at finite temperature
• Thermal Fluctuations in Nuclear Pasta
• Crust Cooling Models are Insensitive to the Crust-Core Transition Pressure for Realistic Equations of State
• Fluctuations in the pasta phase
• Measuring spin in coalescing binaries of neutron stars showing double precursors
• Do short range correlations inhibit the appearance of the nuclear pasta?
• Characterization of the inner edge of the neutron star crust