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Title: Energy Flow in Thin Shell Implosions and Explosions

Abstract

Energy flow and balance in convergent systems beyond petapascal energy densities controls the fate of late-stage stars and the potential for controlling thermonuclear inertial fusion ignition. Time-resolved x-ray self-emission imaging combined with a Bayesian inference analysis is used to describe the energy flow and the potential information stored in the rebounding spherical shock at 0.22 PPa (2.2 Gbar or billions of atmospheres pressure). This analysis, together with a simple mechanical model, describes the trajectory of the shell and the time history of the pressure at the fuel-shell interface, ablation pressure, and energy partitioning including kinetic energy of the shell and internal energy of the fuel. Here, the techniques used here provide a fully self-consistent uncertainty analysis of integrated implosion data, a thermodynamic-path independent measurement of pressure in the petapascal range, and can be used to deduce the energy ow in a wide variety of implosion systems to petapascal energy densities.

Authors:
ORCiD logo [1];  [1]; ORCiD logo [1];  [2]; ORCiD logo [3];  [1];  [1];  [3];  [1];  [2];  [1];  [1]
  1. Univ. of Rochester, NY (United States)
  2. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  3. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Publication Date:
Research Org.:
Univ. of Rochester, NY (United States). Lab. for Laser Energetics; Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1725778
Alternate Identifier(s):
OSTI ID: 1810682; OSTI ID: 1899610
Report Number(s):
2020-40, 1599, 2554; LLNL-JRNL-813119
Journal ID: ISSN 0031-9007; 2020-40, 1599, 2554; TRN: US2204857
Grant/Contract Number:  
NA0003856; AC52-07NA27344; SC0019269
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 125; Journal Issue: 21; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; Direct drive; High-energy-density plasmas; Inertial confinement fusion; Laboratory studies of space & astrophysical plasmas; Nuclear fusion; Plasma thermodynamics; Plasma transport; Shock waves; Hydrodynamics; Monte Carlo methods; X-ray & gamma ray plasma measurements; X-ray imaging

Citation Formats

Ruby, J. J., Rygg, J. R., Chin, D. A., Gaffney, J. A., Adrian, P. J., Forrest, C. J., Glebov, V. Yu., Kabadi, N. V., Nilson, P. M., Ping, Y., Stoeckl, C., and Collins, G. W. Energy Flow in Thin Shell Implosions and Explosions. United States: N. p., 2020. Web. doi:10.1103/physrevlett.125.215001.
Ruby, J. J., Rygg, J. R., Chin, D. A., Gaffney, J. A., Adrian, P. J., Forrest, C. J., Glebov, V. Yu., Kabadi, N. V., Nilson, P. M., Ping, Y., Stoeckl, C., & Collins, G. W. Energy Flow in Thin Shell Implosions and Explosions. United States. https://doi.org/10.1103/physrevlett.125.215001
Ruby, J. J., Rygg, J. R., Chin, D. A., Gaffney, J. A., Adrian, P. J., Forrest, C. J., Glebov, V. Yu., Kabadi, N. V., Nilson, P. M., Ping, Y., Stoeckl, C., and Collins, G. W. Wed . "Energy Flow in Thin Shell Implosions and Explosions". United States. https://doi.org/10.1103/physrevlett.125.215001. https://www.osti.gov/servlets/purl/1725778.
@article{osti_1725778,
title = {Energy Flow in Thin Shell Implosions and Explosions},
author = {Ruby, J. J. and Rygg, J. R. and Chin, D. A. and Gaffney, J. A. and Adrian, P. J. and Forrest, C. J. and Glebov, V. Yu. and Kabadi, N. V. and Nilson, P. M. and Ping, Y. and Stoeckl, C. and Collins, G. W.},
abstractNote = {Energy flow and balance in convergent systems beyond petapascal energy densities controls the fate of late-stage stars and the potential for controlling thermonuclear inertial fusion ignition. Time-resolved x-ray self-emission imaging combined with a Bayesian inference analysis is used to describe the energy flow and the potential information stored in the rebounding spherical shock at 0.22 PPa (2.2 Gbar or billions of atmospheres pressure). This analysis, together with a simple mechanical model, describes the trajectory of the shell and the time history of the pressure at the fuel-shell interface, ablation pressure, and energy partitioning including kinetic energy of the shell and internal energy of the fuel. Here, the techniques used here provide a fully self-consistent uncertainty analysis of integrated implosion data, a thermodynamic-path independent measurement of pressure in the petapascal range, and can be used to deduce the energy ow in a wide variety of implosion systems to petapascal energy densities.},
doi = {10.1103/physrevlett.125.215001},
journal = {Physical Review Letters},
number = 21,
volume = 125,
place = {United States},
year = {Wed Nov 18 00:00:00 EST 2020},
month = {Wed Nov 18 00:00:00 EST 2020}
}

Works referenced in this record:

Tripled yield in direct-drive laser fusion through statistical modelling
journal, January 2019


Phase conversion of lasers with low-loss distributed phase plates
conference, May 1993

  • Kessler, Terrance J.; Lin, Ying; Armstrong, J. Joseph
  • OE/LASE'93: Optics, Electro-Optics, & Laser Applications in Science& Engineering, SPIE Proceedings
  • DOI: 10.1117/12.154474

Development of a Bayesian method for the analysis of inertial confinement fusion experiments on the NIF
journal, June 2013


Absolute Equation of State Measurements on Shocked Liquid Deuterium up to 200 GPa (2 Mbar)
journal, January 1997


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

High speed proximity focused X-ray cameras
journal, March 1991


Inverse problem instabilities in large-scale modeling of matter in extreme conditions
journal, November 2019

  • Kasim, M. F.; Galligan, T. P.; Topp-Mugglestone, J.
  • Physics of Plasmas, Vol. 26, Issue 11
  • DOI: 10.1063/1.5125979

New Solar Opacities, Abundances, Helioseismology, and Neutrino Fluxes
journal, January 2005

  • Bahcall, John N.; Serenelli, Aldo M.; Basu, Sarbani
  • The Astrophysical Journal, Vol. 621, Issue 1
  • DOI: 10.1086/428929

Fusion Energy Output Greater than the Kinetic Energy of an Imploding Shell at the National Ignition Facility
journal, June 2018


Integrated diagnostic analysis of inertial confinement fusion capsule performance
journal, May 2013

  • Cerjan, Charles; Springer, Paul T.; Sepke, Scott M.
  • Physics of Plasmas, Vol. 20, Issue 5
  • DOI: 10.1063/1.4802196

$$\mathrm{ND}^2\mathrm{AV}$$ ND 2 AV : N-dimensional data analysis and visualization analysis for the National Ignition Campaign
journal, February 2015

  • Bremer, Peer-Timo; Maljovec, Dan; Saha, Avishek
  • Computing and Visualization in Science, Vol. 17, Issue 1
  • DOI: 10.1007/s00791-015-0241-3

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


The direct measurement of ablation pressure driven by 351-nm laser radiation
journal, October 2011

  • Fratanduono, D. E.; Boehly, T. R.; Celliers, P. M.
  • Journal of Applied Physics, Vol. 110, Issue 7
  • DOI: 10.1063/1.3646554

Improving the hot-spot pressure and demonstrating ignition hydrodynamic equivalence in cryogenic deuterium–tritium implosions on OMEGA
journal, May 2014

  • Goncharov, V. N.; Sangster, T. C.; Betti, R.
  • Physics of Plasmas, Vol. 21, Issue 5
  • DOI: 10.1063/1.4876618

Thermonuclear reactions probed at stellar-core conditions with laser-based inertial-confinement fusion
journal, August 2017

  • Casey, D. T.; Sayre, D. B.; Brune, C. R.
  • Nature Physics, Vol. 13, Issue 12
  • DOI: 10.1038/nphys4220

Single crystal toroidal diamond anvils for high pressure experiments beyond 5 megabar
journal, September 2018


Making inertial confinement fusion models more predictive
journal, August 2019

  • Gaffney, Jim A.; Brandon, Scott T.; Humbird, Kelli D.
  • Physics of Plasmas, Vol. 26, Issue 8
  • DOI: 10.1063/1.5108667

Convergent ablator performance measurements
journal, October 2010

  • Hicks, D. G.; Spears, B. K.; Braun, D. G.
  • Physics of Plasmas, Vol. 17, Issue 10
  • DOI: 10.1063/1.3486536

2D X-Ray Radiography of Imploding Capsules at the National Ignition Facility
journal, May 2014


Asymptotic Scaling Laws for Imploding Thin Fluid Shells
journal, May 2002


Effect of laser illumination nonuniformity on the analysis of time-resolved x-ray measurements in uv spherical transport experiments
journal, October 1987


A measurement of the equation of state of carbon envelopes of white dwarfs
journal, August 2020


Experimental Demonstration of Fusion-Relevant Conditions in Magnetized Liner Inertial Fusion
journal, October 2014


An analytic model for laser-driven ablative implosion of spherical shell targets
journal, January 1982


Absolute Equation-of-State Measurement for Polystyrene from 25 to 60 Mbar Using a Spherically Converging Shock Wave
journal, July 2018


A higher-than-predicted measurement of iron opacity at solar interior temperatures
journal, December 2014

  • Bailey, J. E.; Nagayama, T.; Loisel, G. P.
  • Nature, Vol. 517, Issue 7532
  • DOI: 10.1038/nature14048

Constraining physical models at gigabar pressures
journal, November 2020


Continuum Lowering and Fermi-Surface Rising in Strongly Coupled and Degenerate Plasmas
journal, August 2017


Developing quartz and molybdenum as impedance-matching standards in the 100-Mbar regime
journal, May 2019


Probabilistic programming in Python using PyMC3
journal, January 2016

  • Salvatier, John; Wiecki, Thomas V.; Fonnesbeck, Christopher
  • PeerJ Computer Science, Vol. 2
  • DOI: 10.7717/peerj-cs.55

Shock compression of stishovite and melting of silica at planetary interior conditions
journal, January 2015