A measurement of the equation of state of carbon envelopes of white dwarfs

Kritcher, Andrea L.; Swift, Damian C.; Döppner, Tilo; Bachmann, Benjamin; Benedict, Lorin X.; Collins, Gilbert W.; DuBois, Jonathan L.; Elsner, Fred; Fontaine, Gilles; Gaffney, Jim A.; Hamel, Sebastien; Lazicki, Amy; Johnson, Walter R.; Kostinski, Natalie; Kraus, Dominik; MacDonald, Michael J.; Maddox, Brian; Martin, Madison E.; Neumayer, Paul; Nikroo, Abbas; Nilsen, Joseph; Remington, Bruce A.; Saumon, Didier; Sterne, Phillip A.; Sweet, Wendi; Correa, Alfredo A.; Whitley, Heather D.; Falcone, Roger W.; Glenzer, Siegfried H.

doi:10.1038/s41586-020-2535-y

A measurement of the equation of state of carbon envelopes of white dwarfs

Journal Article · Wed Aug 05 00:00:00 EDT 2020 · Nature (London)

DOI:https://doi.org/10.1038/s41586-020-2535-y· OSTI ID:1658868

^[1]; Swift, Damian C. ^[2]; ^[2]; ^[2]; Benedict, Lorin X. ^[2]; Collins, Gilbert W. ^[3]; DuBois, Jonathan L. ^[2]; Elsner, Fred ^[4]; Fontaine, Gilles ^[5]; Gaffney, Jim A. ^[2]; Hamel, Sebastien ^[2]; Lazicki, Amy ^[2]; Johnson, Walter R. ^[6]; ^[2]; ^[7]; ^[2]; Maddox, Brian ^[2]; Martin, Madison E. ^[2]; Neumayer, Paul ^[8]; Nikroo, Abbas ^[2] more »

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States); Lawrence Livermore National Laboratory
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States); Univ. of Rochester, NY (United States)
General Atomics, San Diego, CA (United States)
Univ. of Montreal, QC (Canada)
Univ. of Notre Dame, IN (United States)
Helmholtz-Zentrum Dresden-Rossendorf (Germany); Technische Univ. Dresden (Germany)
GSI Helmholtzzentrum fur Schwerionenforschung BmbH, Darmstadt (Germany)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Univ. of California, Berkeley, CA (United States)
SLAC National Accelerator Lab., Menlo Park, CA (United States)

White dwarfs represent the final state of evolution for most stars. Certain classes of white dwarfs pulsate, leading to observable brightness variations, and analysis of these variations with theoretical stellar models probes their internal structure. Modelling of these pulsating stars provides stringent tests of white dwarf models and a detailed picture of the outcome of the late stages of stellar evolution. However, the high-energy-density states that exist in white dwarfs are extremely difficult to reach and to measure in the laboratory, so theoretical predictions are largely untested at these conditions. In this paper we report measurements of the relationship between pressure and density along the principal shock Hugoniot (equations describing the state of the sample material before and after the passage of the shock derived from conservation laws) of hydrocarbon to within five per cent. The observed maximum compressibility is consistent with theoretical models that include detailed electronic structure. This is relevant for the equation of state of matter at pressures ranging from 100 million to 450 million atmospheres, where the understanding of white dwarf physics is sensitive to the equation of state and where models differ considerably. The measurements test these equation-of-state relations that are used in the modelling of white dwarfs and inertial confinement fusion experiments, and we predict an increase in compressibility due to ionization of the inner-core orbitals of carbon. We also find that a detailed treatment of the electronic structure and the electron degeneracy pressure is required to capture the measured shape of the pressure–density evolution for hydrocarbon before peak compression. Our results illuminate the equation of state of the white dwarf envelope (the region surrounding the stellar core that contains partially ionized and partially degenerate non-ideal plasmas), which is a weak link in the constitutive physics informing the structure and evolution of white dwarf stars.

View Accepted Manuscript (DOE)

Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States); Univ. of California, Berkeley, CA (United States); Univ. of Rochester, NY (United States)

Sponsoring Organization:: USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Fusion Energy Sciences (FES)

Grant/Contract Number:: 89233218CNA000001; AC52-07NA27344; NA0003842; SC0018298; SC0019269

OSTI ID:: 1658868

Alternate ID(s):: OSTI ID: 1899612
OSTI ID: 1688586

Report Number(s):: LLNL-JRNL--769585; 89233218CNA000001; 13-ERD-073; LFR-17-449059; FWP 100182

Journal Information:: Nature (London), Journal Name: Nature (London) Journal Issue: 7819 Vol. 584; ISSN 0028-0836

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United States

Language:: English

References (40)

Pulsating white dwarfs: new insights Córsico, Alejandro H.; Althaus, Leandro G.; Miller Bertolami, Marcelo M. The Astronomy and Astrophysics Review, Vol. 27, Issue 1 https://doi.org/10.1007/s00159-019-0118-4	journal	September 2019
Advances in NLTE modeling for integrated simulations Scott, H. A.; Hansen, S. B. High Energy Density Physics, Vol. 6, Issue 1 https://doi.org/10.1016/j.hedp.2009.07.003	journal	January 2010
High-mode Rayleigh-Taylor growth in NIF ignition capsules Hammel, B. A.; Haan, S. W.; Clark, D. S. High Energy Density Physics, Vol. 6, Issue 2 https://doi.org/10.1016/j.hedp.2009.12.005	journal	June 2010
Probing matter at Gbar pressures at the NIF Kritcher, A. L.; Döppner, T.; Swift, D. High Energy Density Physics, Vol. 10 https://doi.org/10.1016/j.hedp.2013.11.002	journal	March 2014
A Review of Equation-of-State Models for Inertial Confinement Fusion Materials Gaffney, J. A.; Hu, S. X.; Arnault, P. High Energy Density Physics, Vol. 28 https://doi.org/10.1016/j.hedp.2018.08.001	journal	September 2018
Purgatorio—a new implementation of the Inferno algorithm Wilson, B.; Sonnad, V.; Sterne, P. Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 99, Issue 1-3 https://doi.org/10.1016/j.jqsrt.2005.05.053	journal	May 2006
White dwarf stars with carbon atmospheres Dufour, P.; Liebert, J.; Fontaine, G. Nature, Vol. 450, Issue 7169 https://doi.org/10.1038/nature06318	journal	November 2007
Fuel gain exceeding unity in an inertially confined fusion implosion Hurricane, O. A.; Callahan, D. A.; Casey, D. T. Nature, Vol. 506, Issue 7488 https://doi.org/10.1038/nature13008	journal	February 2014
Ramp compression of diamond to five terapascals Smith, R. F.; Eggert, J. H.; Jeanloz, R. Nature, Vol. 511, Issue 7509 https://doi.org/10.1038/nature13526	journal	July 2014
A large oxygen-dominated core from the seismic cartography of a pulsating white dwarf Giammichele, N.; Charpinet, S.; Fontaine, G. Nature, Vol. 554, Issue 7690 https://doi.org/10.1038/nature25136	journal	January 2018
Equation of state of iron under core conditions of large rocky exoplanets Smith, Raymond F.; Fratanduono, Dayne E.; Braun, David G. Nature Astronomy, Vol. 2, Issue 6 https://doi.org/10.1038/s41550-018-0437-9	journal	April 2018
A pulsating white dwarf in an eclipsing binary Parsons, Steven G.; Brown, Alexander J.; Littlefair, Stuart P. Nature Astronomy, Vol. 4, Issue 7 https://doi.org/10.1038/s41550-020-1037-z	journal	March 2020
Hot C-rich white dwarfs: testing the DB–DQ transition through pulsations Córsico, A. H.; Romero, A. D.; Althaus, L. G. Astronomy & Astrophysics, Vol. 506, Issue 2 https://doi.org/10.1051/0004-6361/200912481	journal	August 2009
Might carbon-atmosphere white dwarfs harbour a new type of pulsating star? Fontaine, G.; Brassard, P.; Dufour, P. Astronomy & Astrophysics, Vol. 483, Issue 1 https://doi.org/10.1051/0004-6361:200809651	journal	March 2008
Three-dimensional HYDRA simulations of National Ignition Facility targets Marinak, M. M.; Kerbel, G. D.; Gentile, N. A. Physics of Plasmas, Vol. 8, Issue 5 https://doi.org/10.1063/1.1356740	journal	May 2001
Dante soft x-ray power diagnostic for National Ignition Facility Dewald, E. L.; Campbell, K. M.; Turner, R. E. Review of Scientific Instruments, Vol. 75, Issue 10 https://doi.org/10.1063/1.1788872	journal	October 2004
The National Ignition Facility: Ushering in a new age for high energy density science Moses, E. I.; Boyd, R. N.; Remington, B. A. Physics of Plasmas, Vol. 16, Issue 4 https://doi.org/10.1063/1.3116505	journal	April 2009
Shock Hugoniot and temperature data for polystyrene obtained with quartz standard Ozaki, N.; Sano, T.; Ikoma, M. Physics of Plasmas, Vol. 16, Issue 6 https://doi.org/10.1063/1.3152287	journal	June 2009
High-precision measurements of the equation of state of hydrocarbons at 1–10 Mbar using laser-driven shock waves Barrios, M. A.; Hicks, D. G.; Boehly, T. R. Physics of Plasmas, Vol. 17, Issue 5 https://doi.org/10.1063/1.3358144	journal	May 2010
Plastic ablator ignition capsule design for the National Ignition Facility Clark, Daniel S.; Haan, Steven W.; Hammel, Bruce A. Physics of Plasmas, Vol. 17, Issue 5 https://doi.org/10.1063/1.3403293	journal	May 2010
Gigabar material properties experiments on nif and omega Swift, Damian; Hawreliak, James; Braun, David SHOCK COMPRESSION OF CONDENSED MATTER - 2011: Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter, AIP Conference Proceedings https://doi.org/10.1063/1.3686321	conference	January 2012
Time-resolved measurements of the hot-electron population in ignition-scale experiments on the National Ignition Facility (invited) Hohenberger, M.; Albert, F.; Palmer, N. E. Review of Scientific Instruments, Vol. 85, Issue 11 https://doi.org/10.1063/1.4890537	journal	November 2014
Using penumbral imaging to measure micrometer size plasma hot spots in Gbar equation of state experiments on the National Ignition Facility Bachmann, B.; Kritcher, A. L.; Benedetti, L. R. Review of Scientific Instruments, Vol. 85, Issue 11 https://doi.org/10.1063/1.4891303	journal	November 2014
Path integral Monte Carlo simulations of dense carbon-hydrogen plasmas Zhang, Shuai; Militzer, Burkhard; Benedict, Lorin X. The Journal of Chemical Physics, Vol. 148, Issue 10 https://doi.org/10.1063/1.5001208	journal	March 2018
Absolute Hugoniot measurements from a spherically convergent shock using x-ray radiography Swift, Damian C.; Kritcher, Andrea L.; Hawreliak, James A. Review of Scientific Instruments, Vol. 89, Issue 5 https://doi.org/10.1063/1.5032142	journal	May 2018
An independent method for determining the age of the universe Winget, D. E.; Hansen, C. J.; Liebert, James The Astrophysical Journal, Vol. 315 https://doi.org/10.1086/184864	journal	April 1987
Convective white-dwarf envelope model grids for H-, He-, and C-rich compositions Fontaine, G.; van Horn, H. M. The Astrophysical Journal Supplement Series, Vol. 31 https://doi.org/10.1086/190388	journal	May 1976
The Potential of White Dwarf Cosmochronology Fontaine, G.; Brassard, P.; Bergeron, P. Publications of the Astronomical Society of the Pacific, Vol. 113, Issue 782 https://doi.org/10.1086/319535	journal	April 2001
SDSS J142625.71+575218.3: A Prototype for a New Class of Variable White Dwarf Montgomery, M. H.; Williams, Kurtis A.; Winget, D. E. The Astrophysical Journal, Vol. 678, Issue 1 https://doi.org/10.1086/588286	journal	April 2008
Hot DQ White Dwarfs: Something Different Dufour, P.; Fontaine, G.; Liebert, James The Astrophysical Journal, Vol. 683, Issue 2 https://doi.org/10.1086/589855	journal	August 2008
Equations of State for Ablator Materials in Inertial Confinement Fusion Simulations Sterne, P. A.; Benedict, L. X.; Hamel, S. Journal of Physics: Conference Series, Vol. 717 https://doi.org/10.1088/1742-6596/717/1/012082	journal	May 2016
Equation of state of CH 1.36 : First-principles molecular dynamics simulations and shock-and-release wave speed measurements Hamel, Sebastien; Benedict, Lorin X.; Celliers, Peter M. Physical Review B, Vol. 86, Issue 9 https://doi.org/10.1103/PhysRevB.86.094113	journal	September 2012
Multiphase equation of state for carbon addressing high pressures and temperatures Benedict, Lorin X.; Driver, Kevin P.; Hamel, Sebastien Physical Review B, Vol. 89, Issue 22 https://doi.org/10.1103/PhysRevB.89.224109	journal	June 2014
Properties of warm dense polystyrene plasmas along the principal Hugoniot Hu, S. X.; Boehly, T. R.; Collins, L. A. Physical Review E, Vol. 89, Issue 6 https://doi.org/10.1103/PhysRevE.89.063104	journal	June 2014
X-ray scattering measurements on imploding CH spheres at the National Ignition Facility Kraus, D.; Chapman, D. A.; Kritcher, A. L. Physical Review E, Vol. 94, Issue 1 https://doi.org/10.1103/PhysRevE.94.011202	journal	July 2016
First High-Convergence Cryogenic Implosion in a Near-Vacuum Hohlraum Berzak Hopkins, L. F.; Meezan, N. B.; Le Pape, S. Physical Review Letters, Vol. 114, Issue 17 https://doi.org/10.1103/PhysRevLett.114.175001	journal	April 2015
Development of Improved Radiation Drive Environment for High Foot Implosions at the National Ignition Facility Hinkel, D. E.; Berzak Hopkins, L. F.; Ma, T. Physical Review Letters, Vol. 117, Issue 22 https://doi.org/10.1103/PhysRevLett.117.225002	journal	November 2016
Absolute Equation-of-State Measurement for Polystyrene from 25 to 60 Mbar Using a Spherically Converging Shock Wave Döppner, T.; Swift, D. C.; Kritcher, A. L. Physical Review Letters, Vol. 121, Issue 2 https://doi.org/10.1103/PhysRevLett.121.025001	journal	July 2018
Absolute Equation-of-State Data in the 10–40 Mbar (1–4 TPa) Regime Cauble, R.; Perry, T. S.; Bach, D. R. Physical Review Letters, Vol. 80, Issue 6 https://doi.org/10.1103/PhysRevLett.80.1248	journal	February 1998
Pulsating White Dwarf Stars and Precision Asteroseismology Winget, D. E.; Kepler, S. O. Annual Review of Astronomy and Astrophysics, Vol. 46, Issue 1 https://doi.org/10.1146/annurev.astro.46.060407.145250	journal	September 2008

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