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Title: Absolute Equation-of-State Measurement for Polystyrene from 25 to 60 Mbar Using a Spherically Converging Shock Wave

Abstract

In this paper, we have developed an experimental platform for the National Ignition Facility that uses spherically converging shock waves for absolute equation-of-state (EOS) measurements along the principal Hugoniot. In this Letter, we present one indirect-drive implosion experiment with a polystyrene sample that employs radiographic compression measurements over a range of shock pressures reaching up to 60 Mbar (6 TPa). This significantly exceeds previously published results obtained on the Nova laser [R. Cauble et al., Phys. Rev. Lett. 80, 1248 (1998)] at a strongly improved precision, allowing us to discriminate between different EOS models. Finally, we find excellent agreement with Kohn-Sham density-functional-theory-based molecular dynamics simulations.

Authors:
 [1];  [1];  [1];  [1];  [2];  [3];  [1];  [4];  [1];  [3];  [1];  [1];  [1];  [1];  [5];  [1];  [1];  [5];  [1];  [1] more »;  [6];  [1];  [5];  [1];  [7];  [1];  [1];  [6] « less
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  2. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States); Univ. of Rochester, NY (United States). Dept. of Mechanical Engineering, Physics and Astronomy
  3. AWE plc, Aldermaston (United Kingdom)
  4. Univ. of California, Berkeley, CA (United States); Helmholtz-Zentrum Dresden-Rossendorf, Dresden (Germany)
  5. SLAC National Accelerator Lab., Menlo Park, CA (United States)
  6. Univ. of California, Berkeley, CA (United States)
  7. GSI Helmholtz Centre for Heavy Ion Research, Darmstadt (Germany)
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States); Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States); Univ. of California, Berkeley, CA (United States); Helmholtz-Zentrum Dresden-Rossendorf, Dresden (Germany)
Sponsoring Org.:
USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC-24); LLNL Laboratory Directed Research and Development (LDRD) Program; Helmholtz Association (Germany)
OSTI Identifier:
1461815
Alternate Identifier(s):
OSTI ID: 1459486; OSTI ID: 1461735
Report Number(s):
LLNL-JRNL-728997
Journal ID: ISSN 0031-9007; TRN: US1902045
Grant/Contract Number:  
AC02-76SF00515; AC52-07NA27344; SC0018298; VH-NG-1141
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 121; Journal Issue: 2; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; high-energy-density plasmas; indirect drive; inertial confinement fusion; plasma ionization; hot dense plasma; laser inertial confinement; warm-dense matter; first-principles calculations in plasma physics; X-ray imaging; Lasers

Citation Formats

Doppner, T., Swift, D. C., Kritcher, A. L., Bachmann, B., Collins, G. W., Chapman, D. A., Hawreliak, J., Kraus, D., Nilsen, J., Rothman, S., Benedict, L. X., Dewald, E., Fratanduono, D. E., Gaffney, J. A., Glenzer, S. H., Hamel, S., Landen, O. L., Lee, H. J., LePape, S., Ma, T., MacDonald, M. J., MacPhee, A. G., Milathianaki, D., Millot, M., Neumayer, P., Sterne, P. A., Tommasini, R., and Falcone, R. W. Absolute Equation-of-State Measurement for Polystyrene from 25 to 60 Mbar Using a Spherically Converging Shock Wave. United States: N. p., 2018. Web. doi:10.1103/physrevlett.121.025001.
Doppner, T., Swift, D. C., Kritcher, A. L., Bachmann, B., Collins, G. W., Chapman, D. A., Hawreliak, J., Kraus, D., Nilsen, J., Rothman, S., Benedict, L. X., Dewald, E., Fratanduono, D. E., Gaffney, J. A., Glenzer, S. H., Hamel, S., Landen, O. L., Lee, H. J., LePape, S., Ma, T., MacDonald, M. J., MacPhee, A. G., Milathianaki, D., Millot, M., Neumayer, P., Sterne, P. A., Tommasini, R., & Falcone, R. W. Absolute Equation-of-State Measurement for Polystyrene from 25 to 60 Mbar Using a Spherically Converging Shock Wave. United States. doi:10.1103/physrevlett.121.025001.
Doppner, T., Swift, D. C., Kritcher, A. L., Bachmann, B., Collins, G. W., Chapman, D. A., Hawreliak, J., Kraus, D., Nilsen, J., Rothman, S., Benedict, L. X., Dewald, E., Fratanduono, D. E., Gaffney, J. A., Glenzer, S. H., Hamel, S., Landen, O. L., Lee, H. J., LePape, S., Ma, T., MacDonald, M. J., MacPhee, A. G., Milathianaki, D., Millot, M., Neumayer, P., Sterne, P. A., Tommasini, R., and Falcone, R. W. Mon . "Absolute Equation-of-State Measurement for Polystyrene from 25 to 60 Mbar Using a Spherically Converging Shock Wave". United States. doi:10.1103/physrevlett.121.025001. https://www.osti.gov/servlets/purl/1461815.
@article{osti_1461815,
title = {Absolute Equation-of-State Measurement for Polystyrene from 25 to 60 Mbar Using a Spherically Converging Shock Wave},
author = {Doppner, T. and Swift, D. C. and Kritcher, A. L. and Bachmann, B. and Collins, G. W. and Chapman, D. A. and Hawreliak, J. and Kraus, D. and Nilsen, J. and Rothman, S. and Benedict, L. X. and Dewald, E. and Fratanduono, D. E. and Gaffney, J. A. and Glenzer, S. H. and Hamel, S. and Landen, O. L. and Lee, H. J. and LePape, S. and Ma, T. and MacDonald, M. J. and MacPhee, A. G. and Milathianaki, D. and Millot, M. and Neumayer, P. and Sterne, P. A. and Tommasini, R. and Falcone, R. W.},
abstractNote = {In this paper, we have developed an experimental platform for the National Ignition Facility that uses spherically converging shock waves for absolute equation-of-state (EOS) measurements along the principal Hugoniot. In this Letter, we present one indirect-drive implosion experiment with a polystyrene sample that employs radiographic compression measurements over a range of shock pressures reaching up to 60 Mbar (6 TPa). This significantly exceeds previously published results obtained on the Nova laser [R. Cauble et al., Phys. Rev. Lett. 80, 1248 (1998)] at a strongly improved precision, allowing us to discriminate between different EOS models. Finally, we find excellent agreement with Kohn-Sham density-functional-theory-based molecular dynamics simulations.},
doi = {10.1103/physrevlett.121.025001},
journal = {Physical Review Letters},
number = 2,
volume = 121,
place = {United States},
year = {2018},
month = {7}
}

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Figures / Tables:

Figure 1 Figure 1: The 1D radiography convergent ablator platform [25] (b) is used to measure time-resolved (streaked) radial transmission profiles [(c) shows the raw streak image] of a converging shock wave in a solid plastic sphere of initially 2.3 mm diameter. (a) shows the dimensions and composition of the spherical plasticmore » sphere used in this experiment and the thicknesses of the Ge-doped layers, where doping levels are given in atomic number percent. The temporal laser profiles driving the hohlraum and the backlighter foil are shown in (d) along with the measured hohlraum radiation temperature.« less

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Works referenced in this record:

Purgatorio—a new implementation of the Inferno algorithm
journal, May 2006

  • Wilson, B.; Sonnad, V.; Sterne, P.
  • Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 99, Issue 1-3
  • DOI: 10.1016/j.jqsrt.2005.05.053

Stability of spherical converging shock wave
journal, July 2015

  • Murakami, M.; Sanz, J.; Iwamoto, Y.
  • Physics of Plasmas, Vol. 22, Issue 7
  • DOI: 10.1063/1.4923437

Discovery of a cool brown dwarf
journal, November 1995

  • Nakajima, T.; Oppenheimer, B. R.; Kulkarni, S. R.
  • Nature, Vol. 378, Issue 6556
  • DOI: 10.1038/378463a0

Fuel gain exceeding unity in an inertially confined fusion implosion
journal, February 2014

  • Hurricane, O. A.; Callahan, D. A.; Casey, D. T.
  • Nature, Vol. 506, Issue 7488
  • DOI: 10.1038/nature13008

The Chicxulub Asteroid Impact and Mass Extinction at the Cretaceous-Paleogene Boundary
journal, March 2010


High-precision measurements of the equation of state of hydrocarbons at 1–10 Mbar using laser-driven shock waves
journal, May 2010

  • Barrios, M. A.; Hicks, D. G.; Boehly, T. R.
  • Physics of Plasmas, Vol. 17, Issue 5
  • DOI: 10.1063/1.3358144

A new global hydrogen equation of state model
journal, January 2000


Systematic uncertainties in shock-wave impedance-match analysis and the high-pressure equation of state of Al
journal, December 2005

  • Celliers, P. M.; Collins, G. W.; Hicks, D. G.
  • Journal of Applied Physics, Vol. 98, Issue 11
  • DOI: 10.1063/1.2140077

Properties of warm dense polystyrene plasmas along the principal Hugoniot
journal, June 2014


Shock compression of aluminum, copper, and tantalum
journal, May 1981

  • Mitchell, A. C.; Nellis, W. J.
  • Journal of Applied Physics, Vol. 52, Issue 5
  • DOI: 10.1063/1.329160

Measuring high pressure equation of state of polystyrene using laser driven shock wave
journal, November 2015


Mass-Radius Relationships for Exoplanets
journal, December 2011


High performance imaging streak camera for the National Ignition Facility
journal, December 2012

  • Opachich, Y. P.; Kalantar, D. H.; MacPhee, A. G.
  • Review of Scientific Instruments, Vol. 83, Issue 12
  • DOI: 10.1063/1.4769753

Absolute Equation-of-State Data in the 10–40 Mbar (1–4 TPa) Regime
journal, February 1998


Shock Hugoniot and temperature data for polystyrene obtained with quartz standard
journal, June 2009

  • Ozaki, N.; Sano, T.; Ikoma, M.
  • Physics of Plasmas, Vol. 16, Issue 6
  • DOI: 10.1063/1.3152287

Backlighter development at the National Ignition Facility (NIF): Zinc to zirconium
journal, September 2013


Gigabar Spherical Shock Generation on the OMEGA Laser
journal, January 2015


Spherical strong-shock generation for shock-ignition inertial fusiona)
journal, May 2015

  • Theobald, W.; Nora, R.; Seka, W.
  • Physics of Plasmas, Vol. 22, Issue 5
  • DOI: 10.1063/1.4920956

Flash Kα radiography of laser-driven solid sphere compression for fast ignition
journal, June 2016

  • Sawada, H.; Lee, S.; Shiroto, T.
  • Applied Physics Letters, Vol. 108, Issue 25
  • DOI: 10.1063/1.4954383

X-ray driven implosions at ignition relevant velocities on the National Ignition Facility
journal, May 2013

  • Meezan, N. B.; MacKinnon, A. J.; Hicks, D. G.
  • Physics of Plasmas, Vol. 20, Issue 5
  • DOI: 10.1063/1.4803915

Probing matter at Gbar pressures at the NIF
journal, March 2014


The National Ignition Facility: enabling fusion ignition for the 21st century
journal, November 2004


Equation of state of CH 1.36 : First-principles molecular dynamics simulations and shock-and-release wave speed measurements
journal, September 2012


X-ray scattering measurements on imploding CH spheres at the National Ignition Facility
journal, July 2016


Dante soft x-ray power diagnostic for National Ignition Facility
journal, October 2004

  • Dewald, E. L.; Campbell, K. M.; Turner, R. E.
  • Review of Scientific Instruments, Vol. 75, Issue 10
  • DOI: 10.1063/1.1788872

The calculation of atomic fields
journal, January 1927

  • Thomas, L. H.
  • Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 23, Issue 5
  • DOI: 10.1017/S0305004100011683

First-principles equation of state of polystyrene and its effect on inertial confinement fusion implosions
journal, October 2015


The physics basis for ignition using indirect-drive targets on the National Ignition Facility
journal, February 2004

  • Lindl, John D.; Amendt, Peter; Berger, Richard L.
  • Physics of Plasmas, Vol. 11, Issue 2
  • DOI: 10.1063/1.1578638

Observation of a Reflected Shock in an Indirectly Driven Spherical Implosion at the National Ignition Facility
journal, June 2014


Self-consistent field model for condensed matter
journal, December 1979


Gigabar material properties experiments on nif and omega
conference, January 2012

  • 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
  • DOI: 10.1063/1.3686321

Implosion dynamics measurements at the National Ignition Facility
journal, December 2012

  • Hicks, D. G.; Meezan, N. B.; Dewald, E. L.
  • Physics of Plasmas, Vol. 19, Issue 12
  • DOI: 10.1063/1.4769268

Shock Hugoniot measurements of CH at Gbar pressures at the NIF
journal, March 2016


Structure of Iron to 1 Gbar and 40 000 K
journal, February 2012


Observations of Continuum Depression in Warm Dense Matter with X-Ray Thomson Scattering
journal, April 2014


Direct Measurements of the Ionization Potential Depression in a Dense Plasma
journal, August 2012


Absolute Hugoniot measurements from a spherically convergent shock using x-ray radiography
journal, May 2018

  • Swift, Damian C.; Kritcher, Andrea L.; Hawreliak, James A.
  • Review of Scientific Instruments, Vol. 89, Issue 5
  • DOI: 10.1063/1.5032142

    Works referencing / citing this record:

    Atom-in-jellium equations of state in the high-energy-density regime
    journal, June 2019


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