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}
}
Web of Science
Works referenced in this record:
Structure of Matter below Nuclear Saturation Density
journal, June 1983
- Ravenhall, D. G.; Pethick, C. J.; Wilson, J. R.
- Physical Review Letters, Vol. 50, Issue 26
Shape of Nuclei in the Crust of Neutron Star
journal, February 1984
- Hashimoto, M. -a.; Seki, H.; Yamada, M.
- Progress of Theoretical Physics, Vol. 71, Issue 2
Neutrino-“pasta” scattering: The opacity of nonuniform neutron-rich matter
journal, April 2004
- Horowitz, C. J.; Pérez-García, M. A.; Piekarewicz, J.
- Physical Review C, Vol. 69, Issue 4
Nonuniform neutron-rich matter and coherent neutrino scattering
journal, December 2004
- Horowitz, C. J.; Pérez-García, M. A.; Carriere, J.
- Physical Review C, Vol. 70, Issue 6
Impact of nuclear “pasta” on neutrino transport in collapsing stellar cores
journal, April 2007
- Sonoda, Hidetaka; Watanabe, Gentaro; Sato, Katsuhiko
- Physical Review C, Vol. 75, Issue 4
Neutrino propagation in the nuclear ‘pasta phase’ of neutron stars
journal, May 2010
- Grygorov, P.; Gögelein, P.; Müther, H.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 37, Issue 7
Direct Urca process in a neutron star mantle
journal, June 2004
- Gusakov, M. E.; Yakovlev, D. G.; Haensel, P.
- Astronomy & Astrophysics, Vol. 421, Issue 3
Viscous Boundary-Layer Damping of [CLC][ITAL]r[/ITAL][/CLC]-Modes in Neutron Stars
journal, January 2000
- Bildsten, Lars; Ushomirsky, Greg
- The Astrophysical Journal, Vol. 529, Issue 1
Effect of a neutron-star crust on the r-mode instability
journal, September 2000
- Lindblom, Lee; Owen, Benjamin; Ushomirsky, Greg
- Physical Review D, Vol. 62, Issue 8
Topological characterization of neutron star crusts
journal, November 2012
- Dorso, C. O.; Giménez Molinelli, P. A.; López, J. A.
- Physical Review C, Vol. 86, Issue 5
Sub-saturation phases of nuclear matter
journal, March 1985
- Williams, R. D.; Koonin, S. E.
- Nuclear Physics A, Vol. 435, Issue 3-4
Nuclear “pasta” structures in low-density nuclear matter and properties of the neutron-star crust
journal, August 2013
- Okamoto, Minoru; Maruyama, Toshiki; Yabana, Kazuhiro
- Physical Review C, Vol. 88, Issue 2
Light clusters, pasta phases, and phase transitions in core-collapse supernova matter
journal, May 2015
- Pais, Helena; Chiacchiera, Silvia; Providência, Constança
- Physical Review C, Vol. 91, Issue 5
Nuclear “pasta” formation
journal, December 2013
- Schneider, A. S.; Horowitz, C. J.; Hughto, J.
- Physical Review C, Vol. 88, Issue 6
Nuclear “waffles”
journal, November 2014
- Schneider, A. S.; Berry, D. K.; Briggs, C. M.
- Physical Review C, Vol. 90, Issue 5
Quantum molecular dynamics approach to the nuclear matter below the saturation density
journal, February 1998
- Maruyama, Toshiki; Niita, Koji; Oyamatsu, Kazuhiro
- Physical Review C, Vol. 57, Issue 2
Phase diagram of nuclear “pasta” and its uncertainties in supernova cores
journal, March 2008
- Sonoda, Hidetaka; Watanabe, Gentaro; Sato, Katsuhiko
- Physical Review C, Vol. 77, Issue 3
Formation of Nuclear “Pasta” in Supernovae
journal, September 2009
- Watanabe, Gentaro; Sonoda, Hidetaka; Maruyama, Toshiki
- Physical Review Letters, Vol. 103, Issue 12
Self-consistent mean-field models for nuclear structure
journal, January 2003
- Bender, Michael; Heenen, Paul-Henri; Reinhard, Paul-Gerhard
- Reviews of Modern Physics, Vol. 75, Issue 1
A mean-field calculation of the equation of state of supernova matter
journal, December 1981
- Bonche, P.; Vautherin, D.
- Nuclear Physics A, Vol. 372, Issue 3
Structure of the inner crust of neutron stars: Crystal lattice or disordered phase?
journal, April 2002
- Magierski, P.; Heenen, P. -H.
- Physical Review C, Vol. 65, Issue 4
Nuclear matter in the crust of neutron stars
journal, August 2007
- Gögelein, P.; Müther, H.
- Physical Review C, Vol. 76, Issue 2
Modeling nuclear “pasta” and the transition to uniform nuclear matter with the 3D Skyrme-Hartree-Fock method at finite temperature: Core-collapse supernovae
journal, May 2009
- Newton, W. G.; Stone, J. R.
- Physical Review C, Vol. 79, Issue 5
Exploring the Nuclear Pasta Phase in Core-Collapse Supernova Matter
journal, October 2012
- Pais, Helena; Stone, Jirina R.
- Physical Review Letters, Vol. 109, Issue 15
Time-dependent Hartree-Fock approach to nuclear “pasta” at finite temperature
journal, May 2013
- Schuetrumpf, B.; Klatt, M. A.; Iida, K.
- Physical Review C, Vol. 87, Issue 5
Nuclear “pasta matter” for different proton fractions
journal, November 2014
- Schuetrumpf, B.; Iida, K.; Maruhn, J. A.
- Physical Review C, Vol. 90, Issue 5
Appearance of the single gyroid network phase in “nuclear pasta” matter
journal, February 2015
- Schuetrumpf, B.; Klatt, M. A.; Iida, K.
- Physical Review C, Vol. 91, Issue 2
Disordered Nuclear Pasta, Magnetic Field Decay, and Crust Cooling in Neutron Stars
journal, January 2015
- Horowitz, C. J.; Berry, D. K.; Briggs, C. M.
- Physical Review Letters, Vol. 114, Issue 3
The boundary condition integration technique: results for the Hubbard model in 1D and 2D
journal, October 1992
- Gros, Claudius
- Zeitschrift f�r Physik B Condensed Matter, Vol. 86, Issue 3
Control of the finite-size corrections in exact diagonalization studies
journal, March 1996
- Gros, Claudius
- Physical Review B, Vol. 53, Issue 11
Twist-averaged boundary conditions in continuum quantum Monte Carlo algorithms
journal, June 2001
- Lin, C.; Zong, F. H.; Ceperley, D. M.
- Physical Review E, Vol. 64, Issue 1
Coupled-cluster calculations of nucleonic matter
journal, January 2014
- Hagen, G.; Papenbrock, T.; Ekström, A.
- Physical Review C, Vol. 89, Issue 1
Flavor twisted boundary conditions and the nucleon axial current
journal, June 2005
- Tiburzi, Brian C.
- Physics Letters B, Vol. 617, Issue 1-2
Two-baryon systems with twisted boundary conditions
journal, April 2014
- Briceño, Raúl A.; Davoudi, Zohreh; Luu, Thomas C.
- Physical Review D, Vol. 89, Issue 7
Entrainment coefficient and effective mass for conduction neutrons in neutron star crust: simple microscopic models
journal, February 2005
- Carter, Brandon; Chamel, Nicolas; Haensel, Pawel
- Nuclear Physics A, Vol. 748, Issue 3-4
Validity of the Wigner-Seitz approximation in neutron star crust
journal, May 2007
- Chamel, N.; Naimi, S.; Khan, E.
- Physical Review C, Vol. 75, Issue 5
Boundary conditions for star matter and other periodic fermionic systems
journal, December 2011
- Gulminelli, F.; Furuta, T.; Juillet, O.
- Physical Review C, Vol. 84, Issue 6
The TDHF code Sky3D
journal, July 2014
- Maruhn, J. A.; Reinhard, P. -G.; Stevenson, P. D.
- Computer Physics Communications, Vol. 185, Issue 7
A Skyrme parametrization from subnuclear to neutron star densities Part II. Nuclei far from stabilities
journal, May 1998
- Chabanat, E.; Bonche, P.; Haensel, P.
- Nuclear Physics A, Vol. 635, Issue 1-2
Effect of Coulomb screening length on nuclear “pasta” simulations
journal, May 2014
- Alcain, P. N.; Giménez Molinelli, P. A.; Nichols, J. I.
- Physical Review C, Vol. 89, Issue 5
Nodal surfaces of Fourier series: Fundamental invariants of structured matter
journal, October 1991
- von Schnering, H. G.; Nesper, R.
- Zeitschrift für Physik B Condensed Matter, Vol. 83, Issue 3
Gyroid Phase in Nuclear Pasta
journal, September 2009
- Nakazato, Ken’ichiro; Oyamatsu, Kazuhiro; Yamada, Shoichi
- Physical Review Letters, Vol. 103, Issue 13
Curvature effect on nuclear “pasta”: Is it helpful for gyroid appearance?
journal, June 2011
- Nakazato, Ken'ichiro; Iida, Kei; Oyamatsu, Kazuhiro
- Physical Review C, Vol. 83, Issue 6
Gyroid cuticular structures in butterfly wing scales: biological photonic crystals
journal, June 2007
- Michielsen, K.; Stavenga, D. G.
- Journal of The Royal Society Interface, Vol. 5, Issue 18
Structure, function, and self-assembly of single network gyroid (I4132) photonic crystals in butterfly wing scales
journal, June 2010
- Saranathan, V.; Osuji, C. O.; Mochrie, S. G. J.
- Proceedings of the National Academy of Sciences, Vol. 107, Issue 26
The chiral structure of porous chitin within the wing-scales of Callophrys rubi
journal, May 2011
- Schröder-Turk, G. E.; Wickham, S.; Averdunk, H.
- Journal of Structural Biology, Vol. 174, Issue 2
The Gyroid: A New Equilibrium Morphology in Weakly Segregated Diblock Copolymers
journal, July 1994
- Hajduk, Damian A.; Harper, Paul E.; Gruner, Sol M.
- Macromolecules, Vol. 27, Issue 15
Cubic lipid-water phases: structures and biomembrane aspects
journal, October 1989
- Larsson, K.
- The Journal of Physical Chemistry, Vol. 93, Issue 21
Medial surfaces of hyperbolic structures
journal, October 2003
- Schr�der, G. E.; Ramsden, S. J.; Christy, A. G.
- The European Physical Journal B - Condensed Matter, Vol. 35, Issue 4
Continuous transformations of cubic minimal surfaces
journal, January 1999
- Fogden, A.; Hyde, S. T.
- The European Physical Journal B, Vol. 7, Issue 1
Bicontinuous geometries and molecular self-assembly: comparison of local curvature and global packing variations in genus-three cubic, tetragonal and rhombohedral surfaces
journal, December 2006
- Schröder-Turk, G. E.; Fogden, A.; Hyde, S. T.
- The European Physical Journal B, Vol. 54, Issue 4
Adaptive multi-resolution 3D Hartree-Fock-Bogoliubov solver for nuclear structure
journal, August 2014
- Pei, J. C.; Fann, G. I.; Harrison, R. J.
- Physical Review C, Vol. 90, Issue 2
Works referencing / citing this record:
A new statistical method for the structure of the inner crust of neutron stars
journal, August 2017
- Pastore, A.; Shelley, M.; Baroni, S.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 44, Issue 9
Cluster formation in precompound nuclei in the time-dependent framework
journal, December 2017
- Schuetrumpf, B.; Nazarewicz, W.
- Physical Review C, Vol. 96, Issue 6
Shape stability of pasta phases: Lasagna case
journal, December 2018
- Kubis, Sebastian; Wójcik, Włodzimierz
- The European Physical Journal A, Vol. 54, Issue 12
Superfluidity in nuclear systems and neutron stars
journal, September 2019
- Sedrakian, Armen; Clark, John W.
- The European Physical Journal A, Vol. 55, Issue 9
TDHF Theory and Its Extensions for the Multinucleon Transfer Reaction: A Mini Review
journal, March 2019
- Sekizawa, Kazuyuki
- Frontiers in Physics, Vol. 7
Quantum Nuclear Pasta and Nuclear Symmetry Energy
text, January 2017
- Fattoyev, F. J.; Horowitz, C. J.; Schuetrumpf, B.
- arXiv
Domains and defects in nuclear "pasta"
text, January 2018
- Schneider, Andre da Silva; Caplan, Matt E.; Berry, Don K.
- arXiv
TDHF Theory and Its Extensions for the Multinucleon Transfer Reaction: a Mini Review
text, January 2019
- Sekizawa, Kazuyuki
- arXiv