Time-Dependent Hartree-Fock Approach to Nuclear Pasta at Finite Temperature

Abstract

We present simulations of neutron-rich matter at subnuclear densities, like supernova matter, with the time-dependent Hartree-Fock approximation at temperatures of several MeV. The initial state consists of $\alpha$ particles randomly distributed in space that have a Maxwell-Boltzmann distribution in momentum space. Adding a neutron background initialized with Fermi distributed plane waves the calculations reflect a reasonable approximation of astrophysical matter. This matter evolves into spherical, rod-like, and slab-like shapes and mixtures thereof. The simulations employ a full Skyrme interaction in a periodic three-dimensional grid. By an improved morphological analysis based on Minkowski functionals, all eight pasta shapes can be uniquely identified by the sign of only two valuations, namely the Euler characteristic and the integral mean curvature. In addition, we propose the variance in the cell density distribution as a measure to distinguish pasta matter from uniform matter.

7 pages, 4 figures, corrected references, references added in Sec. I and Sec. II, added comments on future work, added sentence to abstract, rewritten sentences in Sec.III and added comparison to ref. 52, results unchanged

References in corpus (7)

• Perspectives on Core-Collapse Supernova Theory
• 3-D unrestricted TDHF fusion calculations using the full Skyrme interaction
• Heavy-ion interaction potential deduced from density-constrained TDHF calculation
• Nuclear matter in the crust of neutron stars
• Impact of nuclear "pasta" on neutrino transport in collapsing stellar cores
• Nuclear Giant Resonances and Linear Response
• Single-particle dissipation in TDHF studied from a phase-space perspective

Cited by in corpus (44)

• Equations of state for supernovae and compact stars
• Neutron Stars and the Nuclear Equation of State
• Disordered nuclear pasta, magnetic field decay, and crust cooling in neutron stars
• Unified treatment of sub-saturation stellar matter at zero and finite temperature
• Nuclear Pasta Formation
• TDHF Theory and Its Extensions for the Multinucleon Transfer Reaction: a Mini Review
• Astromaterial Science and Nuclear Pasta
• Twist-averaged boundary conditions for nuclear pasta Hartree-Fock calculations
• Nuclear Equation of state for Compact Stars and Supernovae
• Landau-Peierls instability in a Fulde-Ferrell type inhomogeneous chiral condensed phase
• Nuclear Waffles
• Appearance of the Single Gyroid Network Phase in Nuclear Pasta Matter
• Quantum Nuclear Pasta and Nuclear Symmetry Energy
• Unified neutron star EOSs and neutron star structures in RMF models
• Nuclear Pasta Matter for Different Proton Fractions
• Fast neutrino cooling of nuclear pasta in neutron stars: molecular dynamics simulations
• A Survey of Nuclear Pasta in the Intermediate Density Regime I: Shapes and Energies
• Quantum Simulations of Nuclei and Nuclear Pasta with the Multi-resolution Adaptive Numerical Environment for Scientific Simulations
• Domains and defects in nuclear "pasta"
• Low density nuclear matter with quantum molecular dynamics : The role of the symmetry energy
• Glassy quantum nuclear pasta in neutron star crusts
• Exact versus Taylor-expanded energy density in the study of the neutron star crust-core transition
• Time-dependent extension of the self-consistent band theory for neutron star matter: Anti-entrainment effects in the slab phase
• Phase transitions and symmetry energy in nuclear pasta
• Nuclear pasta structures and symmetry energy
• Challenges in description of heavy-ion collisions with microscopic time-dependent approaches
• Characterization of Anisotropic Gaussian Random Fields by Minkowski Tensors
• A Survey of Nuclear Pasta in the Intermediate Density Regime: Structure Functions for Neutrino Scattering
• Tracking down the origin of superbubbles and supergiant shells in the Magellanic Clouds with Minkowski tensor analysis
• Nuclear Quantum Many-Body Dynamics: From Collective Vibrations to Heavy-Ion Collisions (2nd edition)
• Symmetry energy, unstable nuclei, and neutron star crusts
• Thermal Fluctuations in Nuclear Pasta
• Dynamics of Fragment Formation in Neutron Rich Matter
• Nuclear pasta and symmetry energy in the relativistic point-coupling model
• Symmetry energy in neutron star matter
• Pairing effects on spinodal decomposition of asymmetric nuclear matter
• Nuclear pasta in hot and dense matter and its influence on the equation of state for astrophysical simulations
• Nuclear pasta structures at high temperatures
• Pairing effects in nuclear pasta phase within the relativistic Thomas-Fermi formalism
• Microscopic description of large amplitude collective motion in the nuclear astrophysics context
• The role of the electric Bond number in the stability of pasta phases
• Shape stability of pasta phases: Lasagna case
• Dynamical scheme for computing the mass parameter of a system in a medium
• Phase transitions in the inner crust of neutron stars within the superfluid band theory: Competition between ${}^1{\text{S}}_0$ pairing and spin polarization under finite temperature and magnetic field