Heat-release equation of state and thermal conductivity of warm dense carbon by proton differential heating
Abstract
Warm dense carbon is generated at 0.3–2.0 g/cc and 1–7 eV by proton heating. The release equation of state (EOS) after heating and thermal conductivity of warm dense carbon are studied experimentally in this regime using a Au/C dual-layer target to initiate a temperature gradient and two picosecond time-resolved diagnostics to probe the surface expansion and heat flow. Comparison between the data and simulations using various EOSs and thermal conductivity models is quantified with a statistical χ2 analysis. In conclusion, out of seven EOS tables and five thermal conductivity models, only L9061 with the Lee-More model provides a probability above 50% to match all data.
- Authors:
-
[1];
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States); Univ. of Michigan, Ann Arbor, MI (United States)
- Univ. of California San Diego, La Jolla, CA (United States)
- Publication Date:
- Research Org.:
- Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1597232
- Report Number(s):
- LLNL-JRNL-755776
Journal ID: ISSN 2470-0045; PLEEE8; 941920; TRN: US2103061
- Grant/Contract Number:
- AC52-07NA27344; LFR-17-449059
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review E
- Additional Journal Information:
- Journal Volume: 100; Journal Issue: 4; Journal ID: ISSN 2470-0045
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; High-energy-density plasmas
Citation Formats
Ping, Yuan, Whitley, Heather D., McKelvey, Andrew, Kemp, Gregory E., Sterne, Phillp A., Shepherd, Ronnie, Marinak, Marty, Hua, Rui, Beg, Farhat N., and Eggert, Jon H. Heat-release equation of state and thermal conductivity of warm dense carbon by proton differential heating. United States: N. p., 2019.
Web. doi:10.1103/PhysRevE.100.043204.
Ping, Yuan, Whitley, Heather D., McKelvey, Andrew, Kemp, Gregory E., Sterne, Phillp A., Shepherd, Ronnie, Marinak, Marty, Hua, Rui, Beg, Farhat N., & Eggert, Jon H. Heat-release equation of state and thermal conductivity of warm dense carbon by proton differential heating. United States. https://doi.org/10.1103/PhysRevE.100.043204
Ping, Yuan, Whitley, Heather D., McKelvey, Andrew, Kemp, Gregory E., Sterne, Phillp A., Shepherd, Ronnie, Marinak, Marty, Hua, Rui, Beg, Farhat N., and Eggert, Jon H. Thu .
"Heat-release equation of state and thermal conductivity of warm dense carbon by proton differential heating". United States. https://doi.org/10.1103/PhysRevE.100.043204. https://www.osti.gov/servlets/purl/1597232.
@article{osti_1597232,
title = {Heat-release equation of state and thermal conductivity of warm dense carbon by proton differential heating},
author = {Ping, Yuan and Whitley, Heather D. and McKelvey, Andrew and Kemp, Gregory E. and Sterne, Phillp A. and Shepherd, Ronnie and Marinak, Marty and Hua, Rui and Beg, Farhat N. and Eggert, Jon H.},
abstractNote = {Warm dense carbon is generated at 0.3–2.0 g/cc and 1–7 eV by proton heating. The release equation of state (EOS) after heating and thermal conductivity of warm dense carbon are studied experimentally in this regime using a Au/C dual-layer target to initiate a temperature gradient and two picosecond time-resolved diagnostics to probe the surface expansion and heat flow. Comparison between the data and simulations using various EOSs and thermal conductivity models is quantified with a statistical χ2 analysis. In conclusion, out of seven EOS tables and five thermal conductivity models, only L9061 with the Lee-More model provides a probability above 50% to match all data.},
doi = {10.1103/PhysRevE.100.043204},
journal = {Physical Review E},
number = 4,
volume = 100,
place = {United States},
year = {Thu Oct 17 00:00:00 EDT 2019},
month = {Thu Oct 17 00:00:00 EDT 2019}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 9 works
Citation information provided by
Web of Science
Web of Science
Figures / Tables:
FIG. 1: (a) Experimental setup for proton heating of multilayer targets. Both the incident angle of the FDI beam and the SOP collection lens position are 16 degrees from target normal. The temporal resolution is 6 ps in SOP and 1 ps in FDI. (b) Proton energy spectra measured bymore »
All figures and tables
(7 total)
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Short-Time Electron Dynamics in Aluminum Excited by Femtosecond Extreme Ultraviolet Radiation
journal, October 2011
- Medvedev, N.; Zastrau, U.; Förster, E.
- Physical Review Letters, Vol. 107, Issue 16
A new quotidian equation of state (QEOS) for hot dense matter
journal, January 1988
- More, R. M.; Warren, K. H.; Young, D. A.
- Physics of Fluids, Vol. 31, Issue 10
An electron conductivity model for dense plasmas
journal, January 1984
- Lee, Y. T.; More, R. M.
- Physics of Fluids, Vol. 27, Issue 5
An implicit Monte Carlo scheme for calculating time and frequency dependent nonlinear radiation transport
journal, December 1971
- Fleck, J. A.; Cummings, J. D.
- Journal of Computational Physics, Vol. 8, Issue 3
Ramp compression of diamond to five terapascals
journal, July 2014
- Smith, R. F.; Eggert, J. H.; Jeanloz, R.
- Nature, Vol. 511, Issue 7509
A new global equation of state model for hot, dense matter
journal, September 1995
- Young, David A.; Corey, Ellen M.
- Journal of Applied Physics, Vol. 78, Issue 6
Equation of state, occupation probabilities and conductivities in the average atom Purgatorio code
journal, May 2007
- Sterne, P. A.; Hansen, S. B.; Wilson, B. G.
- High Energy Density Physics, Vol. 3, Issue 1-2
Evolution of ac Conductivity in Nonequilibrium Warm Dense Gold
journal, March 2013
- Chen, Z.; Holst, B.; Kirkwood, S. E.
- Physical Review Letters, Vol. 110, Issue 13
Resistivity and dynamic conductivity of laser-pulse heated aluminum up to 106 K and along the shock Hugoniot up to 20 Mbars
journal, March 1992
- Dharma-wardana, M. W. C.; Perrot, François
- Physics Letters A, Vol. 163, Issue 3
Isochoric Heating of Solid-Density Matter with an Ultrafast Proton Beam
journal, September 2003
- Patel, P.; Mackinnon, A.; Key, M.
- Physical Review Letters, Vol. 91, Issue 12
Practical Improvements to the Lee-More Conductivity Near the Metal-Insulator Transition
journal, March 2001
- Desjarlais, M. P.
- Contributions to Plasma Physics, Vol. 41, Issue 2-3
Electrical conductivity for warm, dense aluminum plasmas and liquids
journal, August 2002
- Desjarlais, M. P.; Kress, J. D.; Collins, L. A.
- Physical Review E, Vol. 66, Issue 2
Fusion Energy Output Greater than the Kinetic Energy of an Imploding Shell at the National Ignition Facility
journal, June 2018
- Le Pape, S.; Berzak Hopkins, L. F.; Divol, L.
- Physical Review Letters, Vol. 120, Issue 24
Melting temperature of diamond at ultrahigh pressure
journal, November 2009
- Eggert, J. H.; Hicks, D. G.; Celliers, P. M.
- Nature Physics, Vol. 6, Issue 1
Short-Time Electron Dynamics in Aluminum Excited by Femtosecond Extreme Ultraviolet Radiation
text, January 2011
- Medvedev, Nikita; Zastrau, U.; Foerster, Eckhart
- Deutsches Elektronen-Synchrotron, DESY, Hamburg
First-principles investigations on ionization and thermal conductivity of polystyrene for inertial confinement fusion applications
journal, April 2016
- Hu, S. X.; Collins, L. A.; Goncharov, V. N.
- Physics of Plasmas, Vol. 23, Issue 4
Thermal conductivity measurements of proton-heated warm dense aluminum
journal, August 2017
- McKelvey, A.; Kemp, G. E.; Sterne, P. A.
- Scientific Reports, Vol. 7, Issue 1
Diamond at 800 GPa
journal, February 2009
- Bradley, D. K.; Eggert, J. H.; Smith, R. F.
- Physical Review Letters, Vol. 102, Issue 7
Measurement of the equation of state of solid-density copper heated with laser-accelerated protons
journal, March 2017
- Feldman, S.; Dyer, G.; Kuk, D.
- Physical Review E, Vol. 95, Issue 3
Equation-of-State Measurement of Dense Plasmas Heated With Fast Protons
journal, July 2008
- Dyer, G. M.; Bernstein, A. C.; Cho, B. I.
- Physical Review Letters, Vol. 101, Issue 1
Solid Iron Compressed Up to 560 GPa
journal, August 2013
- Ping, Y.; Coppari, F.; Hicks, D. G.
- Physical Review Letters, Vol. 111, Issue 6
The ice layer in Uranus and Neptune—diamonds in the sky?
journal, July 1981
- Ross, Marvin
- Nature, Vol. 292, Issue 5822
Measurement of Preheat Due to Nonlocal Electron Transport in Warm Dense Matter
journal, January 2018
- Falk, K.; Holec, M.; Fontes, C. J.
- Physical Review Letters, Vol. 120, Issue 2
Dense plasma temperature equilibration in the binary collision approximation
journal, March 2002
- Gericke, D. O.; Murillo, M. S.; Schlanges, M.
- Physical Review E, Vol. 65, Issue 3
X-ray Imaging of Stress and Strain of Diamond, Iron, and Tungsten at Megabar Pressures
journal, May 1997
- Hemley, R. J.
- Science, Vol. 276, Issue 5316
Equation of State Measurements of Warm Dense Carbon Using Laser-Driven Shock and Release Technique
journal, April 2014
- Falk, K.; Gamboa, E. J.; Kagan, G.
- Physical Review Letters, Vol. 112, Issue 15
Hugoniot and release measurements in diamond shocked up to 26 Mbar
journal, April 2017
- Gregor, M. C.; Fratanduono, D. E.; McCoy, C. A.
- Physical Review B, Vol. 95, Issue 14
Lenard-Balescu Calculations and Classical Molecular Dynamics Simulations of Electrical and Thermal Conductivities of Hydrogen Plasmas: Lenard-Balescu Calculations and Classical Molecular Dynamics Simulations of Electrical and Thermal Conductivities of Hydrogen Plasmas
journal, December 2014
- Whitley, H. D.; Scullard, Ch. R.; Benedict, L. X.
- Contributions to Plasma Physics, Vol. 55, Issue 2-3
Calculations of the thermal conductivity of National Ignition Facility target materials at temperatures near 10 eV and densities near 10 g/cc using finite-temperature quantum molecular dynamics
journal, August 2011
- Hanson, David E.; Collins, Lee A.; Kress, Joel D.
- Physics of Plasmas, Vol. 18, Issue 8
Large-scale molecular dynamics simulations of dense plasmas: The Cimarron Project
journal, March 2012
- Graziani, Frank R.; Batista, Victor S.; Benedict, Lorin X.
- High Energy Density Physics, Vol. 8, Issue 1
Effect of Lattice Structure on Energetic Electron Transport in Solids Irradiated by Ultraintense Laser Pulses
journal, May 2011
- McKenna, P.; Robinson, A. P. L.; Neely, D.
- Physical Review Letters, Vol. 106, Issue 18
Kubo–Greenwood approach to conductivity in dense plasmas with average atom models
journal, June 2016
- Starrett, C. E.
- High Energy Density Physics, Vol. 19
First-principles thermal conductivity of warm-dense deuterium plasmas for inertial confinement fusion applications
journal, April 2014
- Hu, S. X.; Collins, L. A.; Boehly, T. R.
- Physical Review E, Vol. 89, Issue 4
Transport coefficients for dense metal plasmas
journal, November 2000
- Kuhlbrodt, Sandra; Redmer, Ronald
- Physical Review E, Vol. 62, Issue 5
Differential heating: A versatile method for thermal conductivity measurements in high-energy-density matter
journal, September 2015
- Ping, Y.; Fernandez-Panella, A.; Sio, H.
- Physics of Plasmas, Vol. 22, Issue 9
Systematic calculations of plasma transport coefficients for the Periodic Table
journal, February 1988
- Rinker, George A.
- Physical Review A, Vol. 37, Issue 4
Density-functional calculations of transport properties in the nondegenerate limit and the role of electron-electron scattering
journal, March 2017
- Desjarlais, Michael P.; Scullard, Christian R.; Benedict, Lorin X.
- Physical Review E, Vol. 95, Issue 3
Electrical and thermal conductivities in dense plasmas
journal, September 2014
- Faussurier, G.; Blancard, C.; Combis, P.
- Physics of Plasmas, Vol. 21, Issue 9
Three-dimensional HYDRA simulations of National Ignition Facility targets
journal, May 2001
- Marinak, M. M.; Kerbel, G. D.; Gentile, N. A.
- Physics of Plasmas, Vol. 8, Issue 5
Kubo-Greenwood approach to conductivity in dense plasmas with average atom models
text, January 2016
- Starrett, C. E.
- arXiv
Density-functional calculations of transport properties in the non-degenerate limit and the role of electron-electron scattering
text, January 2016
- Desjarlais, Michael P.; Scullard, Christian R.; Benedict, Lorin X.
- arXiv
Figures / Tables found in this record:
Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.