Thermal conductivity measurements of proton-heated warm dense aluminum
Abstract
Thermal conductivity is one of the most crucial physical properties of matter when it comes to understanding heat transport, hydrodynamic evolution, and energy balance in systems ranging from astrophysical objects to fusion plasmas. In the warm dense matter regime, experimental data are very scarce so that many theoretical models remain untested. Here we present the first thermal conductivity measurements of aluminum at 0.5–2.7 g/cc and 2–10 eV, using a recently developed platform of differential heating. A temperature gradient is induced in a Au/Al dual-layer target by proton heating, and subsequent heat flow from the hotter Au to the Al rear surface is detected by two simultaneous time-resolved diagnostics. A systematic data set allows for constraining both thermal conductivity and equation-of-state models. Simulations using Purgatorio model or Sesame S27314 for Al thermal conductivity and LEOS for Au/Al release equation-of-state show good agreement with data after 15 ps. Discrepancy still exists at early time 0–15 ps, likely due to non-equilibrium conditions.
- Authors:
-
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States); Univ. of Michigan, Ann Arbor, MI (United States). Nuclear Engineering Department
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Plasma Science and Fusion Center
- The Ohio State Univ., Columbus, OH (United States). Physics Department
- The Ohio State Univ., Columbus, OH (United States). Physics Department
- University of California San Diego, La Jolla, CA (United States). Center for Energy Research
- Publication Date:
- Research Org.:
- Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1395483
- Report Number(s):
- LLNL-JRNL-722677
Journal ID: ISSN 2045-2322; PII: 7173
- Grant/Contract Number:
- AC52-07NA27344
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Scientific Reports
- Additional Journal Information:
- Journal Volume: 7; Journal Issue: 1; Journal ID: ISSN 2045-2322
- Publisher:
- Nature Publishing Group
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Condensed-matter physics; Plasma physics
Citation Formats
McKelvey, A., Kemp, G. E., Sterne, P. A., Fernandez-Panella, A., Shepherd, R., Marinak, M., Link, A., Collins, G. W., Sio, H., King, J., Freeman, R. R., Hua, R., McGuffey, C., Kim, J., Beg, F. N., and Ping, Y. Thermal conductivity measurements of proton-heated warm dense aluminum. United States: N. p., 2017.
Web. doi:10.1038/s41598-017-07173-0.
McKelvey, A., Kemp, G. E., Sterne, P. A., Fernandez-Panella, A., Shepherd, R., Marinak, M., Link, A., Collins, G. W., Sio, H., King, J., Freeman, R. R., Hua, R., McGuffey, C., Kim, J., Beg, F. N., & Ping, Y. Thermal conductivity measurements of proton-heated warm dense aluminum. United States. https://doi.org/10.1038/s41598-017-07173-0
McKelvey, A., Kemp, G. E., Sterne, P. A., Fernandez-Panella, A., Shepherd, R., Marinak, M., Link, A., Collins, G. W., Sio, H., King, J., Freeman, R. R., Hua, R., McGuffey, C., Kim, J., Beg, F. N., and Ping, Y. Tue .
"Thermal conductivity measurements of proton-heated warm dense aluminum". United States. https://doi.org/10.1038/s41598-017-07173-0. https://www.osti.gov/servlets/purl/1395483.
@article{osti_1395483,
title = {Thermal conductivity measurements of proton-heated warm dense aluminum},
author = {McKelvey, A. and Kemp, G. E. and Sterne, P. A. and Fernandez-Panella, A. and Shepherd, R. and Marinak, M. and Link, A. and Collins, G. W. and Sio, H. and King, J. and Freeman, R. R. and Hua, R. and McGuffey, C. and Kim, J. and Beg, F. N. and Ping, Y.},
abstractNote = {Thermal conductivity is one of the most crucial physical properties of matter when it comes to understanding heat transport, hydrodynamic evolution, and energy balance in systems ranging from astrophysical objects to fusion plasmas. In the warm dense matter regime, experimental data are very scarce so that many theoretical models remain untested. Here we present the first thermal conductivity measurements of aluminum at 0.5–2.7 g/cc and 2–10 eV, using a recently developed platform of differential heating. A temperature gradient is induced in a Au/Al dual-layer target by proton heating, and subsequent heat flow from the hotter Au to the Al rear surface is detected by two simultaneous time-resolved diagnostics. A systematic data set allows for constraining both thermal conductivity and equation-of-state models. Simulations using Purgatorio model or Sesame S27314 for Al thermal conductivity and LEOS for Au/Al release equation-of-state show good agreement with data after 15 ps. Discrepancy still exists at early time 0–15 ps, likely due to non-equilibrium conditions.},
doi = {10.1038/s41598-017-07173-0},
journal = {Scientific Reports},
number = 1,
volume = 7,
place = {United States},
year = {Tue Aug 01 00:00:00 EDT 2017},
month = {Tue Aug 01 00:00:00 EDT 2017}
}
Web of Science
Works referenced in this record:
Interferometric investigation of femtosecond laser-heated expanded states
journal, September 2001
- Widmann, K.; Guethlein, G.; Foord, M. E.
- Physics of Plasmas, Vol. 8, Issue 9
Resistivity of a Simple Metal from Room Temperature to K
journal, November 1988
- Milchberg, H. M.; Freeman, R. R.; Davey, S. C.
- Physical Review Letters, Vol. 61, Issue 20
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
An electron conductivity model for dense plasmas
journal, January 1984
- Lee, Y. T.; More, R. M.
- Physics of Fluids, Vol. 27, Issue 5
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 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
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
Observations of the Effect of Ionization-Potential Depression in Hot Dense Plasma
journal, June 2013
- Hoarty, D. J.; Allan, P.; James, S. F.
- Physical Review Letters, Vol. 110, Issue 26
Free-Electron X-Ray Laser Measurements of Collisional-Damped Plasmons in Isochorically Heated Warm Dense Matter
journal, September 2015
- Sperling, P.; Gamboa, E. J.; Lee, H. J.
- Physical Review Letters, Vol. 115, Issue 11
Diffusivity in asymmetric Yukawa ionic mixtures in dense plasmas
journal, August 2014
- Haxhimali, Tomorr; Rudd, Robert E.; Cabot, William H.
- Physical Review E, Vol. 90, Issue 2
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
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
Thermal and electrical conductivity of iron at Earth’s core conditions
journal, April 2012
- Pozzo, Monica; Davies, Chris; Gubbins, David
- Nature, Vol. 485, Issue 7398
Broadband Dielectric Function of Nonequilibrium Warm Dense Gold
journal, June 2006
- Ping, Y.; Hanson, D.; Koslow, I.
- Physical Review Letters, Vol. 96, Issue 25
Energetic proton generation in ultra-intense laser–solid interactions
journal, February 2001
- Wilks, S. C.; Langdon, A. B.; Cowan, T. E.
- Physics of Plasmas, Vol. 8, Issue 2, p. 542-549
Direct drive heavy-ion-beam inertial fusion at high coupling efficiency
journal, July 2008
- Logan, B. G.; Perkins, L. J.; Barnard, J. J.
- Physics of Plasmas, Vol. 15, Issue 7
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
Resistivity saturation in warm dense matter
journal, January 2015
- Faussurier, Gérald; Blancard, Christophe
- Physical Review E, Vol. 91, Issue 1
On the Stopping of Fast Particles and on the Creation of Positive Electrons
journal, August 1934
- Bethe, H.; Heitler, W.
- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 146, Issue 856
Femtosecond dynamics of the laser-induced solid-to-liquid phase transition in aluminum
journal, June 2007
- Kandyla, M.; Shih, T.; Mazur, E.
- Physical Review B, Vol. 75, Issue 21
Electrical conductivity of dense copper and aluminum plasmas
journal, May 1998
- DeSilva, A. W.; Katsouros, J. D.
- Physical Review E, Vol. 57, Issue 5
Creation and diagnosis of a solid-density plasma with an X-ray free-electron laser
journal, January 2012
- Vinko, S. M.; Ciricosta, O.; Cho, B. I.
- Nature, Vol. 482, Issue 7383
Charge States and Charge-Changing Cross Sections of Fast Heavy Ions Penetrating Through Gaseous and Solid Media
journal, July 1972
- Betz, Hans-Dieter
- Reviews of Modern Physics, Vol. 44, 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
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
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
Transport Phenomena in a Completely Ionized Gas
journal, March 1953
- Spitzer, Lyman; Härm, Richard
- Physical Review, Vol. 89, Issue 5
Laser ray tracing and power deposition on an unstructured three-dimensional grid
journal, January 2000
- Kaiser, Thomas B.
- Physical Review E, Vol. 61, Issue 1
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
Reflectivity of intense femtosecond laser pulses from a simple metal
journal, May 1994
- Ng, A.; Celliers, P.; Forsman, A.
- Physical Review Letters, Vol. 72, Issue 21
Physical properties of dense, low-temperature plasmas
journal, April 1997
- Redmer, Ronald
- Physics Reports, Vol. 282, Issue 2-3
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
Direct Measurements of the Ionization Potential Depression in a Dense Plasma
journal, August 2012
- Ciricosta, O.; Vinko, S. M.; Chung, H. -K.
- Physical Review Letters, Vol. 109, Issue 6
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
Investigation of femtosecond collisional ionization rates in a solid-density aluminium plasma
journal, March 2015
- Vinko, S. M.; Ciricosta, O.; Preston, T. R.
- Nature Communications, Vol. 6, Issue 1
Recent developments in the Sesame equation-of-state library
report, February 1978
- Bennett, B. I.; Johnson, J. D.; Kerley, G. I.
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
Femtosecond dynamics of the laser-induced solid-to-liquid phase transition in aluminum
conference, May 2007
- Kandyla, M.; Shih, T.; Mazur, E.
- 2007 Quantum Electronics and Laser Science Conference
Femtosecond dynamics of the laser-induced solid-to-liquid phase transition in aluminum
conference, May 2007
- Kandyla, M.; Shih, T.; Mazur, E.
- CLEO 2007, 2007 Conference on Lasers and Electro-Optics (CLEO)
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
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
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
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
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
Single-shot spectral interferometry of femtosecond laser-produced plasmas
journal, January 2001
- Rebibo, S.; Geindre, J. -P.; Audebert, P.
- Laser and Particle Beams, Vol. 19, Issue 1
Creation and diagnosis of a solid-density plasma with an X-ray free-electron laser
journal, January 2012
- Vinko, S. M.; Ciricosta, O.; Cho, B. I.
- Nature, Vol. 482, Issue 7383
Energetic proton generation in ultra-intense laser–solid interactions
journal, February 2001
- Wilks, S. C.; Langdon, A. B.; Cowan, T. E.
- Physics of Plasmas, Vol. 8, Issue 2, p. 542-549
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
Interferometric investigation of femtosecond laser-heated expanded states
journal, September 2001
- Widmann, K.; Guethlein, G.; Foord, M. E.
- Physics of Plasmas, Vol. 8, Issue 9
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
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
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
An electron conductivity model for dense plasmas
journal, January 1984
- Lee, Y. T.; More, R. M.
- Physics of Fluids, Vol. 27, Issue 5
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
On the Stopping of Fast Particles and on the Creation of Positive Electrons
journal, August 1934
- Bethe, H.; Heitler, W.
- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 146, Issue 856
Electrical conductivity of a strongly coupled plasma
journal, April 1985
- Rinker, George A.
- Physical Review B, Vol. 31, Issue 7
Thermal conductivity of a strongly coupled plasma
journal, April 1985
- Rinker, George A.
- Physical Review B, Vol. 31, Issue 7
Femtosecond dynamics of the laser-induced solid-to-liquid phase transition in aluminum
conference, May 2007
- Kandyla, M.; Shih, T.; Mazur, E.
- CLEO 2007, 2007 Conference on Lasers and Electro-Optics (CLEO)
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
Thermal and electrical conductivity of iron at Earth's core conditions
text, January 2012
- Pozzo, Monica; Davies, Chris; Gubbins, David
- 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
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journal, July 2019
- Morace, A.; Iwata, N.; Sentoku, Y.
- Nature Communications, Vol. 10, Issue 1
Observations of non-linear plasmon damping in dense plasmas
journal, May 2018
- Witte, B. B. L.; Sperling, P.; French, M.
- Physics of Plasmas, Vol. 25, Issue 5
A review on ab initio studies of static, transport, and optical properties of polystyrene under extreme conditions for inertial confinement fusion applications
journal, May 2018
- Collins, L. A.; Boehly, T. R.; Ding, Y. H.
- Physics of Plasmas, Vol. 25, Issue 5
Computational modeling of proton acceleration with multi-picosecond and high energy, kilojoule, lasers
journal, August 2018
- Kim, J.; Kemp, A. J.; Wilks, S. C.
- Physics of Plasmas, Vol. 25, Issue 8
Study of M-band X-ray preheating effect on shock propagation via streaked optical pyrometer system at SG-III prototype lasers
journal, January 2019
- Zhang, Chen; Liu, Hao; Duan, Xiaoxi
- Physics of Plasmas, Vol. 26, Issue 1
Thermal conductivity of dissociating water—an ab initio study
journal, February 2019
- French, Martin
- New Journal of Physics, Vol. 21, Issue 2
Testing thermal conductivity models with equilibrium molecular dynamics simulations of the one-component plasma
journal, October 2019
- Scheiner, Brett; Baalrud, Scott D.
- Physical Review E, Vol. 100, Issue 4
Enhancing laser beam performance by interfering intense laser beamlets
journal, July 2019
- Morace, A.; Iwata, N.; Sentoku, Y.
- Nature Communications, Vol. 10, Issue 1