Topological analysis of nuclear pasta phases

Abstract

In this paper the analysis of the result of numerical simulations of pasta phases using algebraic topology methods is presented. These considerations suggest that some phases can be further split into (sub)phases and therefore should be more refined in numerical simulations. The results presented in the paper can also be used to relate the Euler characteristic from numerical simulations to the geometry of the phases. The Betti numbers are used as they provide finer characterization of the phases. It is also shown that different boundary conditions give different outcomes.

arXiv comment13 pages, 13 figures

References in corpus (5)

• Disordered nuclear pasta, magnetic field decay, and crust cooling in neutron stars
• Nuclear Pasta Formation
• Astromaterial Science and Nuclear Pasta
• Topological Signature of First Order Phase Transitions
• Nuclear Waffles

Cited by in corpus (6)

• Extension of nuclear landscape to hyperheavy nuclei
• Impact of the neutron-star deformability on equation of state parameters
• Domains and defects in nuclear "pasta"
• The role of the electric Bond number in the stability of pasta phases
• Characterization of the inner edge of the neutron star crust
• Shape stability of pasta phases: Lasagna case