Electrical conductivity calculations in isochorically heated warm dense aluminum
Abstract
We present a theoretical approach to derive the dc conductivity of warm dense matter (WDM) from x-ray Thomson scattering data. Predictions for the conductivity of aluminum at condensed matter densities are given within a wide temperature range ($$0.08\,\mathrm{eV}\lt {k}_{{\rm{B}}}T\lt 80$$ eV). Strong correlation effects are taken into account by ionic structure factors. Screening and Pauli blocking are described via a pseudopotential. The results are compared with other theoretical models and simulations as well as with experimental measurements in the liquid metal regime and recent experiments in the WDM regime.
- Authors:
-
- SLAC National Accelerator Lab., Menlo Park, CA (United States); European XFEL, Schenefeld (Germany)
- Univ. Rostock, Rostock (Germany). Inst. für Physik
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Univ. Rostock, Rostock (Germany). Inst. für Physik; Univ. of Western Australia, Crawley (Australia)
- European XFEL, Schenefeld (Germany)
- Publication Date:
- Research Org.:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1369249
- Grant/Contract Number:
- AC02-76SF00515; SFB 652; FWP 100182; SF00515
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Physics. B, Atomic, Molecular and Optical Physics
- Additional Journal Information:
- Journal Volume: 50; Journal Issue: 13; Journal ID: ISSN 0953-4075
- Publisher:
- IOP Publishing
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 74 ATOMIC AND MOLECULAR PHYSICS; warm dense matter; dense plasmas; x-ray scattering
Citation Formats
Sperling, P., Rosmej, S., Bredow, R., Fletcher, L. B., Galtier, E., Gamboa, E. J., Lee, H. J., Reinholz, H., Röpke, G., Zastrau, U., and Glenzer, S. H. Electrical conductivity calculations in isochorically heated warm dense aluminum. United States: N. p., 2017.
Web. doi:10.1088/1361-6455/aa753d.
Sperling, P., Rosmej, S., Bredow, R., Fletcher, L. B., Galtier, E., Gamboa, E. J., Lee, H. J., Reinholz, H., Röpke, G., Zastrau, U., & Glenzer, S. H. Electrical conductivity calculations in isochorically heated warm dense aluminum. United States. https://doi.org/10.1088/1361-6455/aa753d
Sperling, P., Rosmej, S., Bredow, R., Fletcher, L. B., Galtier, E., Gamboa, E. J., Lee, H. J., Reinholz, H., Röpke, G., Zastrau, U., and Glenzer, S. H. Fri .
"Electrical conductivity calculations in isochorically heated warm dense aluminum". United States. https://doi.org/10.1088/1361-6455/aa753d. https://www.osti.gov/servlets/purl/1369249.
@article{osti_1369249,
title = {Electrical conductivity calculations in isochorically heated warm dense aluminum},
author = {Sperling, P. and Rosmej, S. and Bredow, R. and Fletcher, L. B. and Galtier, E. and Gamboa, E. J. and Lee, H. J. and Reinholz, H. and Röpke, G. and Zastrau, U. and Glenzer, S. H.},
abstractNote = {We present a theoretical approach to derive the dc conductivity of warm dense matter (WDM) from x-ray Thomson scattering data. Predictions for the conductivity of aluminum at condensed matter densities are given within a wide temperature range ($0.08\,\mathrm{eV}\lt {k}_{{\rm{B}}}T\lt 80$ eV). Strong correlation effects are taken into account by ionic structure factors. Screening and Pauli blocking are described via a pseudopotential. The results are compared with other theoretical models and simulations as well as with experimental measurements in the liquid metal regime and recent experiments in the WDM regime.},
doi = {10.1088/1361-6455/aa753d},
journal = {Journal of Physics. B, Atomic, Molecular and Optical Physics},
number = 13,
volume = 50,
place = {United States},
year = {Fri Jun 09 00:00:00 EDT 2017},
month = {Fri Jun 09 00:00:00 EDT 2017}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 10 works
Citation information provided by
Web of Science
Web of Science
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:
Inner-core conductivity in numerical dynamo simulations
journal, October 2002
- Wicht, Johannes
- Physics of the Earth and Planetary Interiors, Vol. 132, Issue 4
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
Lindhard dielectric function in the relaxation-time approximation and generalized linear response theory
journal, September 1999
- Röpke, G.; Selchow, A.; Wierling, A.
- Physics Letters A, Vol. 260, Issue 5
Observation of Ultrafast Nonequilibrium Collective Dynamics in Warm Dense Hydrogen
journal, March 2010
- Fäustlin, R. R.; Bornath, Th.; Döppner, T.
- Physical Review Letters, Vol. 104, Issue 12
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
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
Structure and Resistivity of Liquid Metals
journal, May 1966
- Ashcroft, N. W.; Lekner, J.
- Physical Review, Vol. 145, Issue 1
Thermophysical properties of liquid copper and aluminum
journal, September 1983
- Gathers, G. R.
- International Journal of Thermophysics, Vol. 4, Issue 3
A database for equations of state and resistivities measurements in the warm dense matter regime
journal, August 2012
- Clérouin, J.; Noiret, P.; Blottiau, P.
- Physics of Plasmas, Vol. 19, Issue 8
Dynamic structure factor in warm dense beryllium
journal, May 2012
- Plagemann, K-U; Sperling, P.; Thiele, R.
- New Journal of Physics, Vol. 14, Issue 5
Quantum-statistical approach to the electrical conductivity of dense, high-temperature plasmas
journal, September 1988
- Röpke, G.
- Physical Review A, Vol. 38, Issue 6
Dielectric function and electrical dc conductivity of nonideal plasmas
journal, April 1998
- Röpke, G.
- Physical Review E, Vol. 57, Issue 4
Reflective Probing of the Electrical Conductivity of Hot Aluminum in the Solid, Liquid, and Plasma Phases
journal, December 1997
- Mostovych, Andrew N.; Chan, Yung
- Physical Review Letters, Vol. 79, Issue 25
Exact Solution of the Percus-Yevick Integral Equation for Hard Spheres
journal, April 1963
- Wertheim, M. S.
- Physical Review Letters, Vol. 10, Issue 8
Refractive x-ray lenses
journal, May 2005
- Lengeler, Bruno; Schroer, Christian G.; Kuhlmann, Marion
- Journal of Physics D: Applied Physics, Vol. 38, Issue 10A
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
Difference in X-ray scattering between metallic and non-metallic liquids due to conduction electrons
journal, February 1987
- Chihara, J.
- Journal of Physics F: Metal Physics, Vol. 17, Issue 2
Long-wavelength limit of the dynamical local-field factor and dynamical conductivity of a two-component plasma
journal, October 2000
- Reinholz, H.; Redmer, R.; Röpke, G.
- Physical Review E, Vol. 62, Issue 4
Measurements of electrical conductivity and the mean ionization state of nonideal aluminum plasmas
journal, November 1998
- Krisch, I.; Kunze, H. -J.
- Physical Review E, Vol. 58, Issue 5
Lindhard Dielectric Function in the Relaxation-Time Approximation
journal, March 1970
- Mermin, N. D.
- Physical Review B, Vol. 1, Issue 5
Average atom transport properties for pure and mixed species in the hot and warm dense matter regimes
journal, October 2012
- Starrett, C. E.; Clérouin, J.; Recoules, V.
- Physics of Plasmas, Vol. 19, Issue 10
Electrical Resistivity of Aluminum and Manganese
journal, October 1984
- Desai, P. D.; James, H. M.; Ho, C. Y.
- Journal of Physical and Chemical Reference Data, Vol. 13, Issue 4
Observations of Plasmons in Warm Dense Matter
journal, February 2007
- Glenzer, S. H.; Landen, O. L.; Neumayer, P.
- Physical Review Letters, Vol. 98, Issue 6
Energy flux determines magnetic field strength of planets and stars
journal, January 2009
- Christensen, Ulrich R.; Holzwarth, Volkmar; Reiners, Ansgar
- Nature, Vol. 457, Issue 7226
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
Comparison of electron transport calculations in warm dense matter using the Ziman formula
journal, June 2016
- Burrill, D. J.; Feinblum, D. V.; Charest, M. R. J.
- High Energy Density Physics, Vol. 19
Measurement of carbon ionization balance in high-temperature plasma mixtures by temporally resolved X-ray scattering
journal, May 2006
- Gregori, G.; Glenzer, S. H.; Chung, H. -K.
- Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 99, Issue 1-3
Dynamic conductivity and plasmon profile of aluminum in the ultra-fast-matter regime
journal, June 2016
- Dharma-wardana, M. W. C.
- Physical Review E, Vol. 93, Issue 6
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
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
Liquid-Aluminum Structure Factor by Neutron Diffraction
journal, July 1973
- Stallard, J. M.; Davis, C. M.
- Physical Review A, Vol. 8, Issue 1
High-mode Rayleigh-Taylor growth in NIF ignition capsules
journal, June 2010
- Hammel, B. A.; Haan, S. W.; Clark, D. S.
- High Energy Density Physics, Vol. 6, Issue 2
Dielectric and optical properties of dense plasmas
journal, July 2005
- Reinholz, H.
- Annales de Physique, Vol. 30, Issue 4-5
Classical-Map Hypernetted Chain Calculations for Dense Plasmas: Classical-Map Hypernetted Chain Calculations for Dense Plasmas
journal, February 2015
- Bredow, R.; Bornath, Th.; Kraeft, W. -D.
- Contributions to Plasma Physics, Vol. 55, Issue 2-3
Broadband Dielectric Function of Nonequilibrium Warm Dense Gold
journal, June 2006
- Ping, Y.; Hanson, D.; Koslow, I.
- Physical Review Letters, Vol. 96, Issue 25
A theory of the electrical properties of liquid metals. I: The monovalent metals
journal, August 1961
- Ziman, J. M.
- Philosophical Magazine, Vol. 6, Issue 68
Electrical resistivity measurements of heavy ion beam generated high energy density aluminium
journal, April 2006
- Udrea, S.; Shilkin, N.; Fortov, V. E.
- Journal of Physics A: Mathematical and General, Vol. 39, Issue 17
Resistivity saturation in warm dense matter
journal, January 2015
- Faussurier, Gérald; Blancard, Christophe
- Physical Review E, Vol. 91, Issue 1
Perspectives on high-energy-density physics
journal, May 2009
- Drake, R. P.
- Physics of Plasmas, Vol. 16, Issue 5
Lattice dynamics, electronic structure and electrical properties of simple metals: I. Sodium, potassium and aluminium
journal, October 1966
- Schneider, T.; Stoll, E.
- Physik der Kondensierten Materie, Vol. 5, Issue 4
Electrical conductivity of dense copper and aluminum plasmas
journal, May 1998
- DeSilva, A. W.; Katsouros, J. D.
- Physical Review E, Vol. 57, Issue 5
Conductivity of warm dense matter including electron-electron collisions
journal, April 2015
- Reinholz, H.; Röpke, G.; Rosmej, S.
- Physical Review E, Vol. 91, Issue 4
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
Optical Properties in Nonequilibrium Phase Transitions
journal, February 2006
- Ao, T.; Ping, Y.; Widmann, K.
- Physical Review Letters, Vol. 96, Issue 5
Transport Phenomena in a Completely Ionized Gas
journal, March 1953
- Spitzer, Lyman; Härm, Richard
- Physical Review, Vol. 89, Issue 5
Electrical and thermal conductivity of Al liquid at high pressures and temperatures from ab initio computations
journal, May 2012
- Vlček, Vojtěch; de Koker, Nico; Steinle-Neumann, Gerd
- Physical Review B, Vol. 85, Issue 18
Interaction of photons with plasmas and liquid metals - photoabsorption and scattering
journal, December 1999
- Chihara, Junzo
- Journal of Physics: Condensed Matter, Vol. 12, Issue 3
Statistical-Mechanical Theory of Irreversible Processes. I. General Theory and Simple Applications to Magnetic and Conduction Problems
journal, June 1957
- Kubo, Ryogo
- Journal of the Physical Society of Japan, Vol. 12, Issue 6
Diffusion and electrical conductivity in water at ultrahigh pressures
journal, November 2010
- French, Martin; Mattsson, Thomas R.; Redmer, Ronald
- Physical Review B, Vol. 82, Issue 17
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