DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: 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. Herein we perform semiclassical 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 fm 3 , at a temperature T = 1.0 MeV . Our simulations are, to our knowledge, the largest nuclear pasta simulations to date and contain up to 3 276 800 nucleons in the Y p = 0.30 and 819 200 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 51 200 nucleons and those with 819 200 nucleons or more, we show that simulations with hundreds of thousands of nucleons may be necessary to accurately predict pasta transport properties.

Authors:
 [1];  [2];  [3];  [3]
  1. California Inst. of Technology (CalTech), Pasadena, CA (United States)
  2. McGill Univ., Montreal, QC (Canada)
  3. Indiana Univ., Bloomington, IN (United States)
Publication Date:
Research Org.:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Indiana Univ., Bloomington, IN (United States); Michigan State Univ., East Lansing, MI (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); Brazilian National Council for Scientific and Technological Development (CNPq); National Science Foundation (NSF); Natural Sciences and Engineering Research Council of Canada (NSERC)
OSTI Identifier:
1565771
Alternate Identifier(s):
OSTI ID: 1481231
Report Number(s):
arXiv:1807.00102v1
Journal ID: ISSN 2469-9985; PRVCAN
Grant/Contract Number:  
AC05-00OR22725; FG02-87ER40365; SC0018083; 201432/2014-5; AST-1333520; PHY-1151197
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 98; Journal Issue: 5; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 79 ASTRONOMY AND ASTROPHYSICS

Citation Formats

Schneider, A. S., Caplan, M. E., Berry, D. K., and Horowitz, C. J. Domains and defects in nuclear pasta. United States: N. p., 2018. Web. doi:10.1103/physrevc.98.055801.
Schneider, A. S., Caplan, M. E., Berry, D. K., & Horowitz, C. J. Domains and defects in nuclear pasta. United States. https://doi.org/10.1103/physrevc.98.055801
Schneider, A. S., Caplan, M. E., Berry, D. K., and Horowitz, C. J. Wed . "Domains and defects in nuclear pasta". United States. https://doi.org/10.1103/physrevc.98.055801. https://www.osti.gov/servlets/purl/1565771.
@article{osti_1565771,
title = {Domains and defects in nuclear pasta},
author = {Schneider, A. S. and Caplan, M. E. and Berry, D. K. and Horowitz, C. J.},
abstractNote = {Nuclear pasta topology is an essential ingredient to determine transport properties in the inner crust of neutron stars. Herein we perform semiclassical molecular dynamics simulations of nuclear pasta for proton fractions Yp=0.30 and Yp=0.40 near one-third of nuclear saturation density, n=0.05fm–3, at a temperature T=1.0MeV. Our simulations are, to our knowledge, the largest nuclear pasta simulations to date and contain up to 3276800 nucleons in the Yp=0.30 and 819200 nucleons in the Yp=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 51 200 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.},
doi = {10.1103/physrevc.98.055801},
journal = {Physical Review C},
number = 5,
volume = 98,
place = {United States},
year = {Wed Nov 07 00:00:00 EST 2018},
month = {Wed Nov 07 00:00:00 EST 2018}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 21 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

A Method to Categorize 2-Dimensional Patterns Using Statistics of Spatial Organization
journal, January 2017


Dynamics of fragment formation in neutron-rich matter
journal, January 2018


Transport Properties of the Nuclear Pasta Phase with Quantum Molecular Dynamics
journal, January 2018


Further Study of the Nuclear Shape in High-Density Matter
journal, August 1984

  • Oyamatsu, K.; Hashimoto, M. -a.; Yamada, M.
  • Progress of Theoretical Physics, Vol. 72, Issue 2
  • DOI: 10.1143/PTP.72.373

Effect of Coulomb screening length on nuclear “pasta” simulations
journal, May 2014


Topological characterization of neutron star crusts
journal, November 2012


Time-dependent Hartree-Fock approach to nuclear “pasta” at finite temperature
journal, May 2013


Molecular View of Hexagonal Phase Formation in Phospholipid Membranes
journal, December 2004


Accelerated Cartesian Expansions for the Rapid Solution of Periodic Multiscale Problems
journal, September 2012

  • Baczewski, Andrew D.; Dault, Daniel L.; Shanker, Balasubramaniam
  • IEEE Transactions on Antennas and Propagation, Vol. 60, Issue 9
  • DOI: 10.1109/TAP.2012.2207037

Neutron star inner crust and symmetry energy
journal, May 2012

  • Grill, Fabrizio; Providência, Constança; Avancini, Sidney S.
  • Physical Review C, Vol. 85, Issue 5
  • DOI: 10.1103/PhysRevC.85.055808

Vlasov formalism for extended relativistic mean field models: The crust-core transition and the stellar matter equation of state
journal, July 2016


Transport coefficients of dense matter in the liquid metal regime
journal, August 1984

  • Nandkumar, R.; Pethick, C. J.
  • Monthly Notices of the Royal Astronomical Society, Vol. 209, Issue 3
  • DOI: 10.1093/mnras/209.3.511

Late-time Cooling of Neutron Star Transients and the Physics of the Inner Crust
journal, April 2017

  • Deibel, Alex; Cumming, Andrew; Brown, Edward F.
  • The Astrophysical Journal, Vol. 839, Issue 2
  • DOI: 10.3847/1538-4357/aa6a19

Shear viscosity and oscillations of neutron star crust
journal, September 2005

  • Chugunov, A. I.; Yakovlev, D. G.
  • Astronomy Reports, Vol. 49, Issue 9
  • DOI: 10.1134/1.2045323

Simulations of cold nuclear matter at sub-saturation densities
journal, March 2014


Warm “pasta” phase in the Thomas-Fermi approximation
journal, November 2010

  • Avancini, Sidney S.; Chiacchiera, Silvia; Menezes, Débora P.
  • Physical Review C, Vol. 82, Issue 5
  • DOI: 10.1103/PhysRevC.82.055807

Effect of strong magnetic fields on the nuclear “pasta” phase structure
journal, September 2013


Light clusters, pasta phases, and phase transitions in core-collapse supernova matter
journal, May 2015


Shear viscosity in magnetized neutron star crust
journal, December 2015


Probing the microscopic nuclear matter self-organization processes in the neutron star crust
journal, November 2011


Multi-Messenger Observations of Neutron-Rich Matter
journal, October 2011


Neutrino diffusion in the pasta phase matter within the Thomas-Fermi approach
journal, September 2016

  • Furtado, U. J.; Avancini, S. S.; Marinelli, J. R.
  • The European Physical Journal A, Vol. 52, Issue 9
  • DOI: 10.1140/epja/i2016-16290-y

Liquid crystals in the mantles of neutron stars
journal, May 1998


Self-assembly in densely grafted macromolecules with amphiphilic monomer units: diagram of states
journal, January 2017

  • Lazutin, A. A.; Vasilevskaya, V. V.; Khokhlov, A. R.
  • Soft Matter, Vol. 13, Issue 45
  • DOI: 10.1039/C7SM01560G

Electron transport through nuclear pasta in magnetized neutron stars
journal, August 2015

  • Yakovlev, D. G.
  • Monthly Notices of the Royal Astronomical Society, Vol. 453, Issue 1
  • DOI: 10.1093/mnras/stv1642

Effect of topological defects on “nuclear pasta” observables
journal, June 2016


Nuclear “pasta” structures in low-density nuclear matter and properties of the neutron-star crust
journal, August 2013


Warm unstable asymmetric nuclear matter: Critical properties and the density dependence of the symmetry energy
journal, May 2017


Structure of cold nuclear matter at subnuclear densities by quantum molecular dynamics
journal, September 2003


“Parking-garage” structures in nuclear astrophysics and cellular biophysics
journal, November 2016


Terasaki Spiral Ramps in the Rough Endoplasmic Reticulum
journal, October 2014


Quantum nuclear pasta and nuclear symmetry energy
journal, May 2017


A highly resistive layer within the crust of X-ray pulsars limits their spin periods
journal, June 2013

  • Pons, José A.; Viganò, Daniele; Rea, Nanda
  • Nature Physics, Vol. 9, Issue 7
  • DOI: 10.1038/nphys2640

Nonuniform neutron-rich matter and coherent neutrino scattering
journal, December 2004


Finite size effects in neutron star and nuclear matter simulations
journal, January 2015


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
  • DOI: 10.1143/PTP.71.320

Elasticity of Nuclear Pasta
journal, September 2018


Twist-averaged boundary conditions for nuclear pasta Hartree-Fock calculations
journal, October 2015


Nuclear “waffles”
journal, November 2014


Magnetic field effect on nuclear matter from a Skyrmion crystal model
journal, September 2018


Revision of FMM–Yukawa: An adaptive fast multipole method for screened Coulomb interactions
journal, December 2010

  • Zhang, Bo; Huang, Jingfang; Pitsianis, Nikos P.
  • Computer Physics Communications, Vol. 181, Issue 12
  • DOI: 10.1016/j.cpc.2010.09.012

Nuclear “pasta matter” for different proton fractions
journal, November 2014


The Cooling of the Cassiopeia a Neutron star as a Probe of the Nuclear Symmetry Energy and Nuclear Pasta
journal, November 2013


First Search for Gravitational Waves from Known Pulsars with Advanced LIGO
journal, April 2017


Nuclear “pasta phase” and its consequences on neutrino opacities
journal, March 2011


Colloquium : Astromaterial science and nuclear pasta
journal, October 2017


Phases of hot nuclear matter at subnuclear densities
journal, May 2004


Upper limits on the observational effects of nuclear pasta in neutron stars: Effects of nuclear pasta in neutron stars
journal, October 2011


Influence of the symmetry energy on nuclear “pasta” in neutron star crusts
journal, April 2014


FMM-Yukawa: An adaptive fast multipole method for screened Coulomb interactions
journal, November 2009


Warm and cold pasta phase in relativistic mean field theory
journal, July 2008


Nuclear “pasta” formation
journal, December 2013


Structure of Matter below Nuclear Saturation Density
journal, June 1983


Appearance of the single gyroid network phase in “nuclear pasta” matter
journal, February 2015


Lower limit on the heat capacity of the neutron star core
journal, February 2017


Low-density nuclear matter with quantum molecular dynamics: The role of the symmetry energy
journal, August 2016


Phase transitions and symmetry energy in nuclear pasta
journal, October 2018


Dynamical response of the nuclear “pasta” in neutron star crusts
journal, September 2005


Topological analysis of nuclear pasta phases
journal, August 2017

  • Kycia, Radosław A.; Kubis, Sebastian; Wójcik, Włodzimierz
  • Physical Review C, Vol. 96, Issue 2
  • DOI: 10.1103/PhysRevC.96.025803

Self-Assembly of Polymer-Tethered Nanorods
journal, July 2005


Disordered Nuclear Pasta, Magnetic Field Decay, and Crust Cooling in Neutron Stars
journal, January 2015


Nuclei in Neutrino-Degenerate Dense Matter. I: -- Cold Case --
journal, July 1982

  • Ogasawara, R.; Sato, K.
  • Progress of Theoretical Physics, Vol. 68, Issue 1
  • DOI: 10.1143/PTP.68.222

Rapid Neutrino Cooling in the Neutron Star MXB 1659-29
journal, April 2018


Correlation of the neutron star crust-core properties with the slope of the symmetry energy and the lead skin thickness
journal, April 2016


Sub-saturation phases of nuclear matter
journal, March 1985


Light clusters and pasta phases in warm and dense nuclear matter
journal, April 2017


A dynamical description of neutron star crusts
journal, March 2013


Effects of neutrino trapping on thermodynamic properties of nuclear “pasta”
journal, May 2001


Stacked Endoplasmic Reticulum Sheets Are Connected by Helicoidal Membrane Motifs
journal, July 2013


Thermodynamic properties of nuclear “pasta” in neutron star crusts
journal, August 2000


Phase diagram of nuclear “pasta” and its uncertainties in supernova cores
journal, March 2008


The neutrino opacity of neutron rich matter
journal, May 2017


Nuclear “pasta” structures and the charge screening effect
journal, July 2005

  • Maruyama, Toshiki; Tatsumi, Toshitaka; Voskresensky, Dmitri N.
  • Physical Review C, Vol. 72, Issue 1
  • DOI: 10.1103/PhysRevC.72.015802

Nuclear pasta in hot dense matter and its implications for neutrino scattering
journal, April 2018


Exploring the Nuclear Pasta Phase in Core-Collapse Supernova Matter
journal, October 2012


Diffusion in Coulomb crystals
journal, July 2011


Curvature effect on nuclear “pasta”: Is it helpful for gyroid appearance?
journal, June 2011


Elastic Properties of Lipid Bilayers: Theory and Possible Experiments
journal, December 1973


Effect of the Coulomb interaction on the liquid-gas phase transition of nuclear matter
journal, June 2017


Impact of nuclear “pasta” on neutrino transport in collapsing stellar cores
journal, April 2007


Unwinding of a Skyrmion Lattice by Magnetic Monopoles
journal, May 2013


Quantum simulations of nuclei and nuclear pasta with the multiresolution adaptive numerical environment for scientific simulations
journal, May 2016


Microscopic study of slablike and rodlike nuclei: Quantum molecular dynamics approach
journal, July 2002


Equation of State of Supernova Matter
journal, February 1985


Proton fraction in the inner neutron-star crust
journal, January 2012


Pasta nucleosynthesis: Molecular dynamics simulations of nuclear statistical equilibrium
journal, June 2015


Formation of Nuclear “Pasta” in Supernovae
journal, September 2009


Phase transitions in core-collapse supernova matter at sub-saturation densities
journal, December 2014


Beyond nuclear “pasta” : Phase transitions and neutrino opacity of new “pasta” phases
journal, December 2014


Dynamical properties of nuclear and stellar matter and the symmetry energy
journal, August 2010


Neutrino-“pasta” scattering: The opacity of nonuniform neutron-rich matter
journal, April 2004


Structure of the inner crust of neutron stars: Crystal lattice or disordered phase?
journal, April 2002


The Thermal State of ks 1731−260 After 14.5 Years in Quiescence
journal, December 2016

  • Merritt, Rachael L.; Cackett, Edward M.; Brown, Edward F.
  • The Astrophysical Journal, Vol. 833, Issue 2
  • DOI: 10.3847/1538-4357/833/2/186

Gyroid Phase in Nuclear Pasta
journal, September 2009


Shear viscosity and thermal conductivity of nuclear “pasta”
journal, September 2008


Three-dimensional structure of low-density nuclear matter
journal, July 2012


Quasi-periodic oscillations in superfluid, relativistic magnetars with nuclear pasta phases
journal, July 2016

  • Passamonti, Andrea; Pons, José A.
  • Monthly Notices of the Royal Astronomical Society, Vol. 463, Issue 2
  • DOI: 10.1093/mnras/stw1880

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
  • DOI: 10.1103/PhysRevC.57.655

Time-Dependent Hartree-Fock Approach to Nuclear Pasta at Finite Temperature
journal, March 2013


Thermodynamic Properties of Nuclear "Pasta" in Neutron star Crusts
conference, November 2011

  • Watanabe, G.; Iida, K.; Sato, K.
  • Proceedings of the International Symposium, Origin of Matter and Evolution of Galaxies 2000
  • DOI: 10.1142/9789812791276_0045

Gyroid Phase in Nuclear Pasta
text, January 2009


Dynamical properties of nuclear and stellar matter and the symmetry energy
text, January 2010


Curvature effect on nuclear pasta: Is it helpful for gyroid appearance?
text, January 2010


Diffusion in Coulomb Crystals
text, January 2011


Proton fraction in the inner neutron-star crust
text, January 2011


The neutron star inner crust and symmetry energy
text, January 2012


Topological characterization of neutron star crusts
text, January 2012


A highly resistive layer within the crust of X-ray pulsars limits their spin periods
text, January 2013


Nuclear Pasta Formation
text, January 2013


Nuclear Waffles
text, January 2014


Disordered nuclear pasta, magnetic field decay, and crust cooling in neutron stars
text, January 2014


Light clusters, pasta phases and phase transitions in core-collapse supernova matter
text, January 2015


Effect of topological defects on "nuclear pasta" observables
text, January 2016


The thermal state of KS 1731-260 after 14.5 years in quiescence
text, January 2016


Late time cooling of neutron star transients and the physics of the inner crust
text, January 2016


First search for gravitational waves from known pulsars with Advanced LIGO
text, January 2017


Quantum Nuclear Pasta and Nuclear Symmetry Energy
text, January 2017


Dynamics of Fragment Formation in Neutron Rich Matter
text, January 2017


Rapid neutrino cooling in the neutron star MXB 1659-29
text, January 2018


Magnetic field effect on nuclear matter from skyrmion crystal model
text, January 2018


Thermodynamic properties of nuclear "pasta" in neutron star crusts
text, January 2000


Nonuniform Neutron-Rich Matter and Coherent Neutrino Scattering
text, January 2004


Microscopic Study of Slablike and Rodlike Nuclei: Quantum Molecular Dynamics Approach
text, January 2002


Nuclear pasta structures and the charge screening effect
text, January 2005


Works referencing / citing this record:

Lamellae and parking garage structures in amphiphilic homopolymer brushes with different grafting densities
journal, October 2019

  • Lazutin, Alexei A.; Kosmachev, Alexei N.; Vasilevskaya, Valentina V.
  • The Journal of Chemical Physics, Vol. 151, Issue 15
  • DOI: 10.1063/1.5120383

Crust-cooling Models Are Insensitive to the Crust–Core Transition Pressure for Realistic Equations of State
journal, September 2019

  • Lalit, Sudhanva; Meisel, Zach; Brown, Edward F.
  • The Astrophysical Journal, Vol. 882, Issue 2
  • DOI: 10.3847/1538-4357/ab338c