Potential of mean force for electrical conductivity of dense plasmas

Starrett, C. E.

doi:10.1016/j.hedp.2017.09.003

Title: Potential of mean force for electrical conductivity of dense plasmas

Journal Article · Thu Sep 28 00:00:00 EDT 2017 · High Energy Density Physics

DOI:https://doi.org/10.1016/j.hedp.2017.09.003· OSTI ID:1396133

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Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

The electrical conductivity in dense plasmas can be calculated with the relaxation-time approximation provided that the interaction potential between the scattering electron and the ion is known. To date there has been considerable uncertainty as to the best way to define this interaction potential so that it correctly includes the effects of ionic structure, screening by electrons and partial ionization. The current approximations lead to significantly different results with varying levels of agreement when compared to bench-mark calculations and experiments. Here, we present a new way to define this potential, drawing on ideas from classical fluid theory to define a potential of mean force. This new potential results in significantly improved agreement with experiments and bench-mark calculations, and includes all the aforementioned physics self-consistently.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1396133

Alternate ID(s):: OSTI ID: 1549230

Report Number(s):: LA-UR-17-26365

Journal Information:: High Energy Density Physics, Vol. 25; ISSN 1574-1818

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 17 works

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References (40)

Electrical conductivity for warm, dense aluminum plasmas and liquids Desjarlais, M. P.; Kress, J. D.; Collins, L. A. Physical Review E, Vol. 66, Issue 2 https://doi.org/10.1103/PhysRevE.66.025401	journal	August 2002
Ionic and electronic transport properties in dense plasmas by orbital-free density functional theory Sjostrom, Travis; Daligault, Jérôme Physical Review E, Vol. 92, Issue 6 https://doi.org/10.1103/PhysRevE.92.063304	journal	December 2015
Electronic transport coefficients from ab initio simulations and application to dense liquid hydrogen Holst, Bastian; French, Martin; Redmer, Ronald Physical Review B, Vol. 83, Issue 23 https://doi.org/10.1103/PhysRevB.83.235120	journal	June 2011
Thermoelectric transport properties of molybdenum from $ab initio$ simulations French, Martin; Mattsson, Thomas R. Physical Review B, Vol. 90, Issue 16 https://doi.org/10.1103/PhysRevB.90.165113	journal	October 2014
First-principles thermal conductivity of warm-dense deuterium plasmas for inertial confinement fusion applications Hu, S. X.; Collins, L. A.; Boehly, T. R. Physical Review E, Vol. 89, Issue 4 https://doi.org/10.1103/PhysRevE.89.043105	journal	April 2014
Density-functional calculations of transport properties in the nondegenerate limit and the role of electron-electron scattering Desjarlais, Michael P.; Scullard, Christian R.; Benedict, Lorin X. Physical Review E, Vol. 95, Issue 3 https://doi.org/10.1103/PhysRevE.95.033203	journal	March 2017
Free-Electron X-Ray Laser Measurements of Collisional-Damped Plasmons in Isochorically Heated Warm Dense Matter Sperling, P.; Gamboa, E. J.; Lee, H. J. Physical Review Letters, Vol. 115, Issue 11 https://doi.org/10.1103/PhysRevLett.115.115001	journal	September 2015
Electrical conductivity of dense copper and aluminum plasmas DeSilva, A. W.; Katsouros, J. D. Physical Review E, Vol. 57, Issue 5 https://doi.org/10.1103/PhysRevE.57.5945	journal	May 1998
Direct measurements and ab initio simulations for expanded fluid aluminum in the metal-nonmetal transition range Clérouin, Jean; Noiret, Pierre; Korobenko, Victor N. Physical Review B, Vol. 78, Issue 22 https://doi.org/10.1103/PhysRevB.78.224203	journal	December 2008
A database for equations of state and resistivities measurements in the warm dense matter regime Clérouin, J.; Noiret, P.; Blottiau, P. Physics of Plasmas, Vol. 19, Issue 8 https://doi.org/10.1063/1.4742317	journal	August 2012
Resistivity of a Simple Metal from Room Temperature to $10^{6}$ K Milchberg, H. M.; Freeman, R. R.; Davey, S. C. Physical Review Letters, Vol. 61, Issue 20 https://doi.org/10.1103/PhysRevLett.61.2364	journal	November 1988
Electrical Resistivity Measurements of Hot Dense Aluminum Benage, J. F.; Shanahan, W. R.; Murillo, M. S. Physical Review Letters, Vol. 83, Issue 15 https://doi.org/10.1103/PhysRevLett.83.2953	journal	October 1999
An electron conductivity model for dense plasmas Lee, Y. T.; More, R. M. Physics of Fluids, Vol. 27, Issue 5 https://doi.org/10.1063/1.864744	journal	January 1984
Comparison of electron transport calculations in warm dense matter using the Ziman formula Burrill, D. J.; Feinblum, D. V.; Charest, M. R. J. High Energy Density Physics, Vol. 19 https://doi.org/10.1016/j.hedp.2016.01.004	journal	June 2016
A theory of the electrical properties of liquid metals. I: The monovalent metals Ziman, J. M. Philosophical Magazine, Vol. 6, Issue 68 https://doi.org/10.1080/14786436108243361	journal	August 1961
Transport and dielectric properties of dense ionized matter from the average-atom RESEOS model Ovechkin, A. A.; Loboda, P. A.; Falkov, A. L. High Energy Density Physics, Vol. 20 https://doi.org/10.1016/j.hedp.2016.08.002	journal	September 2016
Electrical resistivity of hot dense plasmas Perrot, François; Dharma-wardana, M. W. C. Physical Review A, Vol. 36, Issue 1 https://doi.org/10.1103/PhysRevA.36.238	journal	July 1987
Equation of state, transport coefficients, and stopping power of dense plasmas from the average-atom model self-consistent approach for astrophysical and laboratory plasmas Faussurier, Gérald; Blancard, Christophe; Cossé, Philippe Physics of Plasmas, Vol. 17, Issue 5 https://doi.org/10.1063/1.3420276	journal	May 2010
Equation of state, occupation probabilities and conductivities in the average atom Purgatorio code Sterne, P. A.; Hansen, S. B.; Wilson, B. G. High Energy Density Physics, Vol. 3, Issue 1-2 https://doi.org/10.1016/j.hedp.2007.02.037	journal	May 2007
Average atom transport properties for pure and mixed species in the hot and warm dense matter regimes Starrett, C. E.; Clérouin, J.; Recoules, V. Physics of Plasmas, Vol. 19, Issue 10 https://doi.org/10.1063/1.4764937	journal	October 2012
Kubo–Greenwood approach to conductivity in dense plasmas with average atom models Starrett, C. E. High Energy Density Physics, Vol. 19 https://doi.org/10.1016/j.hedp.2016.04.001	journal	June 2016
Effective Potential Theory for Transport Coefficients across Coupling Regimes Baalrud, Scott D.; Daligault, Jérôme Physical Review Letters, Vol. 110, Issue 23 https://doi.org/10.1103/PhysRevLett.110.235001	journal	June 2013
Conductivity of warm dense matter including electron-electron collisions Reinholz, H.; Röpke, G.; Rosmej, S. Physical Review E, Vol. 91, Issue 4 https://doi.org/10.1103/PhysRevE.91.043105	journal	April 2015
Electrical Resistivity in Warm Dense Plasmas Beyond the Average-Atom Model Pain, J. C.; Dejonghe, G. Contributions to Plasma Physics, Vol. 50, Issue 1 https://doi.org/10.1002/ctpp.201010010	journal	January 2010
Resistivity saturation in warm dense matter Faussurier, Gérald; Blancard, Christophe Physical Review E, Vol. 91, Issue 1 https://doi.org/10.1103/PhysRevE.91.013105	journal	January 2015
Electron scattering in hot/warm plasmas Rozsnyai, Balazs F. High Energy Density Physics, Vol. 4, Issue 1-2 https://doi.org/10.1016/j.hedp.2008.01.002	journal	April 2008
Ionic Transport Coefficients of Dense Plasmas without Molecular Dynamics Daligault, Jérôme; Baalrud, Scott D.; Starrett, Charles E. Physical Review Letters, Vol. 116, Issue 7 https://doi.org/10.1103/PhysRevLett.116.075002	journal	February 2016
A simple method for determining the ionic structure of warm dense matter Starrett, C. E.; Saumon, D. High Energy Density Physics, Vol. 10 https://doi.org/10.1016/j.hedp.2013.12.001	journal	March 2014
Practical Improvements to the Lee-More Conductivity Near the Metal-Insulator Transition Desjarlais, M. P. Contributions to Plasma Physics, Vol. 41, Issue 2-3 https://doi.org/10.1002/1521-3986(200103)41:2/3<267::AID-CTPP267>3.0.CO;2-P	journal	March 2001
Equation of state of dense plasmas with pseudoatom molecular dynamics Starrett, C. E.; Saumon, D. Physical Review E, Vol. 93, Issue 6 https://doi.org/10.1103/PhysRevE.93.063206	journal	June 2016
Models of the elastic x-ray scattering feature for warm dense aluminum Starrett, C. E.; Saumon, D. Physical Review E, Vol. 92, Issue 3 https://doi.org/10.1103/PhysRevE.92.033101	journal	September 2015
Conductivities in Hot Aluminium Plasma Kuhlbrodt, S.; Redmer, R.; Kemp, A. Contributions to Plasma Physics, Vol. 41, Issue 1 https://doi.org/10.1002/1521-3986(200101)41:1<3::AID-CTPP3>3.0.CO;2-6	journal	January 2001
Static and dynamic conductivity of warm dense matter within a density-functional approach: Application to aluminum and gold Dharma-wardana, M. W. C. Physical Review E, Vol. 73, Issue 3 https://doi.org/10.1103/PhysRevE.73.036401	journal	March 2006
Resistivity and dynamic conductivity of laser-pulse heated aluminum up to 106 K and along the shock Hugoniot up to 20 Mbars Dharma-wardana, M. W. C.; Perrot, François Physics Letters A, Vol. 163, Issue 3 https://doi.org/10.1016/0375-9601(92)90413-G	journal	March 1992
Free-free opacity in dense plasmas with an average atom model Shaffer, N. R.; Ferris, N. G.; Colgan, J. High Energy Density Physics, Vol. 23 https://doi.org/10.1016/j.hedp.2017.02.008	journal	June 2017
Unified description of metallic and neutral liquids and plasmas Chihara, J. Journal of Physics: Condensed Matter, Vol. 3, Issue 44 https://doi.org/10.1088/0953-8984/3/44/016	journal	November 1991
Systematic calculations of plasma transport coefficients for the Periodic Table Rinker, George A. Physical Review A, Vol. 37, Issue 4 https://doi.org/10.1103/physreva.37.1284	journal	February 1988
Electronic and ionic structures of warm and hot dense matter Starrett, C. E.; Saumon, D. Physical Review E, Vol. 87, Issue 1 https://doi.org/10.1103/physreve.87.013104	journal	January 2013
Integral equation model for warm and hot dense mixtures Starrett, C. E.; Saumon, D.; Daligault, J. Physical Review E, Vol. 90, Issue 3 https://doi.org/10.1103/physreve.90.033110	journal	September 2014
Electron conduction along quantizing magnetic fields in neutron star crusts. II. Practical formulae Potekhin, A. Y.; Yakovlev, D. G. arXiv https://doi.org/10.48550/arxiv.astro-ph/9604130	text	January 1996

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Correlations between conduction electrons in dense plasmas Shaffer, Nathaniel R.; Starrett, Charles E. Physical Review E, Vol. 101, Issue 1 https://doi.org/10.1103/physreve.101.013208	journal	January 2020
Theory of the electron-ion temperature relaxation rate spanning the hot solid metals and plasma phases Daligault, Jérôme; Simoni, Jacopo Physical Review E, Vol. 100, Issue 4 https://doi.org/10.1103/physreve.100.043201	journal	October 2019
Model for the electrical conductivity in dense plasma mixtures Starrett, C. E.; Shaffer, N. R.; Saumon, D. High Energy Density Physics, Vol. 36 https://doi.org/10.1016/j.hedp.2020.100752	journal	August 2020
Coulomb log for conductivity of dense plasmas Starrett, C. E. Physics of Plasmas, Vol. 25, Issue 9 https://doi.org/10.1063/1.5053124	journal	September 2018

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