Twist-averaged boundary conditions for nuclear pasta Hartree-Fock calculations
Abstract
Nuclear pasta phases, present in the inner crust of neutron stars, are associated with nucleonic matter at subsaturation densities arranged in regular shapes. Those complex phases, residing in a layer which is approximately 100-m thick, impact many features of neutron stars. Theoretical quantum-mechanical simulations of nuclear pasta are usually carried out in finite three-dimensional boxes assuming periodic boundary conditions. The resulting solutions are affected by spurious finite-size effects. To remove spurious finite-size effects, it is convenient to employ twist-averaged boundary conditions (TABC) used in condensed matter, nuclear matter, and lattice quantum chromodynamics applications. In this work, we study the effectiveness of TABC in the context of pasta phase simulations within nuclear density functional theory. We demonstrated that by applying TABC reliable results can be obtained from calculations performed in relatively small volumes. By studying various contributions to the total energy, we gain insights into pasta phases in mid-density range. Future applications will include the TABC extension of the adaptive multiresolution 3D Hartree-Fock solver and Hartree-Fock-Bogoliubov TABC applications to superfluid pasta phases and complex nucleonic topologies as in fission.
- Authors:
-
- Michigan State Univ., East Lansing, MI (United States)
- Michigan State Univ., East Lansing, MI (United States); Univ. of Warsaw, Warsaw (Poland)
- Publication Date:
- Research Org.:
- Michigan State Univ., East Lansing, MI (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1233548
- Alternate Identifier(s):
- OSTI ID: 1224133
- Grant/Contract Number:
- NA0002574; SC0008511; NA0002847
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review C, Nuclear Physics
- Additional Journal Information:
- Journal Volume: 92; Journal Issue: 4; Journal ID: ISSN 0556-2813
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS
Citation Formats
Schuetrumpf, B., and Nazarewicz, W. Twist-averaged boundary conditions for nuclear pasta Hartree-Fock calculations. United States: N. p., 2015.
Web. doi:10.1103/PhysRevC.92.045806.
Schuetrumpf, B., & Nazarewicz, W. Twist-averaged boundary conditions for nuclear pasta Hartree-Fock calculations. United States. https://doi.org/10.1103/PhysRevC.92.045806
Schuetrumpf, B., and Nazarewicz, W. Wed .
"Twist-averaged boundary conditions for nuclear pasta Hartree-Fock calculations". United States. https://doi.org/10.1103/PhysRevC.92.045806. https://www.osti.gov/servlets/purl/1233548.
@article{osti_1233548,
title = {Twist-averaged boundary conditions for nuclear pasta Hartree-Fock calculations},
author = {Schuetrumpf, B. and Nazarewicz, W.},
abstractNote = {Nuclear pasta phases, present in the inner crust of neutron stars, are associated with nucleonic matter at subsaturation densities arranged in regular shapes. Those complex phases, residing in a layer which is approximately 100-m thick, impact many features of neutron stars. Theoretical quantum-mechanical simulations of nuclear pasta are usually carried out in finite three-dimensional boxes assuming periodic boundary conditions. The resulting solutions are affected by spurious finite-size effects. To remove spurious finite-size effects, it is convenient to employ twist-averaged boundary conditions (TABC) used in condensed matter, nuclear matter, and lattice quantum chromodynamics applications. In this work, we study the effectiveness of TABC in the context of pasta phase simulations within nuclear density functional theory. We demonstrated that by applying TABC reliable results can be obtained from calculations performed in relatively small volumes. By studying various contributions to the total energy, we gain insights into pasta phases in mid-density range. Future applications will include the TABC extension of the adaptive multiresolution 3D Hartree-Fock solver and Hartree-Fock-Bogoliubov TABC applications to superfluid pasta phases and complex nucleonic topologies as in fission.},
doi = {10.1103/PhysRevC.92.045806},
journal = {Physical Review C, Nuclear Physics},
number = 4,
volume = 92,
place = {United States},
year = {Wed Oct 21 00:00:00 EDT 2015},
month = {Wed Oct 21 00:00:00 EDT 2015}
}
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