Static and dynamic properties of multi-ionic plasma mixtures
Abstract
Complex plasma mixtures with three or more components are often encountered in astrophysics or in inertial confinement fusion (ICF) experiments. For mixtures containing species with large differences in atomic number Z, the modeling needs to consider at the same time the kinetic theory for low-Z elements combined with the theory of strongly coupled plasma for high-Z elements, as well as all the intermediate situations that can appear in multi-component systems. For such cases, we study the pair distribution functions, self-diffusions, mutual diffusion and viscosity for ternary mixtures at extreme conditions. These quantities can be produced from first principles using orbital free molecular dynamics at the computational expense of very intensive simulations to reach good statistics. Utilizing the first-principles results as reference data, we assess the merit of a global analytic model for transport coefficients, "Pseudo-Ions in Jellium" (PIJ), based on an iso-electronic assumption (iso-ne). With a multi-component hypernetted-chain integral equation, we verify the quality of the iso-ne prescription for describing the static structure of the mixtures. This semi-analytical modeling compares well with the simulation results and allows one to consider plasma mixtures not accessible to simulations. Further, applications are given for the mix of materials in ICF experiments. A reductionmore »
- Authors:
-
- Alternative Energies and Atomic Energy Commission (CEA), Arpajon (France); Univ. Paris-Saclay, Bruyeres-le-Chatel (France)
- Alternative Energies and Atomic Energy Commission (CEA), Arpajon (France)
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1819151
- Alternate Identifier(s):
- OSTI ID: 1605315
- Report Number(s):
- LA-UR-20-20121
Journal ID: ISSN 2470-0045; TRN: US2214073
- Grant/Contract Number:
- 89233218CNA000001; 89233218NCA000001; P184
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review E
- Additional Journal Information:
- Journal Volume: 101; Journal Issue: 3; Journal ID: ISSN 2470-0045
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Citation Formats
Clerouin, Jean, Arnault, Philippe, Grea, Benoit-Joseph, Guisset, Sebastien, Vandenboomgaerde, Marc, White, Alexander James, Collins, Lee A., Kress, Joel David, and Ticknor, Christopher. Static and dynamic properties of multi-ionic plasma mixtures. United States: N. p., 2020.
Web. doi:10.1103/physreve.101.033207.
Clerouin, Jean, Arnault, Philippe, Grea, Benoit-Joseph, Guisset, Sebastien, Vandenboomgaerde, Marc, White, Alexander James, Collins, Lee A., Kress, Joel David, & Ticknor, Christopher. Static and dynamic properties of multi-ionic plasma mixtures. United States. https://doi.org/10.1103/physreve.101.033207
Clerouin, Jean, Arnault, Philippe, Grea, Benoit-Joseph, Guisset, Sebastien, Vandenboomgaerde, Marc, White, Alexander James, Collins, Lee A., Kress, Joel David, and Ticknor, Christopher. Wed .
"Static and dynamic properties of multi-ionic plasma mixtures". United States. https://doi.org/10.1103/physreve.101.033207. https://www.osti.gov/servlets/purl/1819151.
@article{osti_1819151,
title = {Static and dynamic properties of multi-ionic plasma mixtures},
author = {Clerouin, Jean and Arnault, Philippe and Grea, Benoit-Joseph and Guisset, Sebastien and Vandenboomgaerde, Marc and White, Alexander James and Collins, Lee A. and Kress, Joel David and Ticknor, Christopher},
abstractNote = {Complex plasma mixtures with three or more components are often encountered in astrophysics or in inertial confinement fusion (ICF) experiments. For mixtures containing species with large differences in atomic number Z, the modeling needs to consider at the same time the kinetic theory for low-Z elements combined with the theory of strongly coupled plasma for high-Z elements, as well as all the intermediate situations that can appear in multi-component systems. For such cases, we study the pair distribution functions, self-diffusions, mutual diffusion and viscosity for ternary mixtures at extreme conditions. These quantities can be produced from first principles using orbital free molecular dynamics at the computational expense of very intensive simulations to reach good statistics. Utilizing the first-principles results as reference data, we assess the merit of a global analytic model for transport coefficients, "Pseudo-Ions in Jellium" (PIJ), based on an iso-electronic assumption (iso-ne). With a multi-component hypernetted-chain integral equation, we verify the quality of the iso-ne prescription for describing the static structure of the mixtures. This semi-analytical modeling compares well with the simulation results and allows one to consider plasma mixtures not accessible to simulations. Further, applications are given for the mix of materials in ICF experiments. A reduction of a multicomponent mixture to an effective binary mixture is also established in the hydrodynamic limit and compared with PIJ estimations for ICF relevant mixtures.},
doi = {10.1103/physreve.101.033207},
journal = {Physical Review E},
number = 3,
volume = 101,
place = {United States},
year = {Wed Mar 18 00:00:00 EDT 2020},
month = {Wed Mar 18 00:00:00 EDT 2020}
}
Web of Science
Works referenced in this record:
Thermo-diffusion in inertially confined plasmas
journal, April 2014
- Kagan, Grigory; Tang, Xian-Zhu
- Physics Letters A, Vol. 378, Issue 21
Inhibition of turbulence in inertial-confinement-fusion hot spots by viscous dissipation
journal, May 2014
- Weber, C. R.; Clark, D. S.; Cook, A. W.
- Physical Review E, Vol. 89, Issue 5
Liquid-State Properties of a One-Component Plasma
journal, February 2006
- Daligault, Jérôme
- Physical Review Letters, Vol. 96, Issue 6
Progress in the development of the MARBLE platform for studying thermonuclear burn in the presence of heterogeneous mix on OMEGA and the National Ignition Facility
journal, May 2016
- Murphy, T. J.; Douglas, M. R.; Fincke, J. R.
- Journal of Physics: Conference Series, Vol. 717
Radiative and atomic properties of C and CH plasmas in the warm-dense-matter regime
journal, October 2018
- Lee, T. -G.; Busquet, M.; Klapisch, M.
- Physical Review E, Vol. 98, Issue 4
Ornstein - Zernike Relation for a Disordered Fluid
journal, January 1968
- Baxter, Rj
- Australian Journal of Physics, Vol. 21, Issue 5
Checking the Salpeter enhancement of nuclear reactions at intermediate coupling in asymmetric mixtures
journal, January 2019
- Clérouin, Jean; Arnault, Philippe; Desbiens, Nicolas
- Physics of Plasmas, Vol. 26, Issue 1
Transport properties of an asymmetric mixture in the dense plasma regime
journal, June 2016
- Ticknor, Christopher; Kress, Joel D.; Collins, Lee A.
- Physical Review E, Vol. 93, Issue 6
Unified Concept of Effective One Component Plasma for Hot Dense Plasmas
journal, March 2016
- Clérouin, Jean; Arnault, Philippe; Ticknor, Christopher
- Physical Review Letters, Vol. 116, Issue 11
First Observations of Nonhydrodynamic Mix at the Fuel-Shell Interface in Shock-Driven Inertial Confinement Implosions
journal, April 2014
- Rinderknecht, H. G.; Sio, H.; Li, C. K.
- Physical Review Letters, Vol. 112, Issue 13
Diffusion-dominated mixing in moderate convergence implosions
journal, June 2018
- Zylstra, A. B.; Hoffman, N. M.; Herrmann, H. W.
- Physical Review E, Vol. 97, Issue 6
Thomas-Fermi -scaling laws and coupling stabilization for plasmas
journal, December 2013
- Arnault, Philippe; Clérouin, Jean; Robert, Gregory
- Physical Review E, Vol. 88, Issue 6
Correlation and transport properties for mixtures at constant pressure and temperature
journal, June 2017
- White, Alexander J.; Collins, Lee A.; Kress, Joel D.
- Physical Review E, Vol. 95, Issue 6
Compressing turbulence and sudden viscous dissipation with compression-dependent ionization state
journal, November 2016
- Davidovits, Seth; Fisch, Nathaniel J.
- Physical Review E, Vol. 94, Issue 5
Observation of early shell-dopant mix in OMEGA direct-drive implosions and comparisons with radiation-hydrodynamic simulations
journal, May 2014
- Baumgaertel, J. A.; Bradley, P. A.; Hsu, S. C.
- Physics of Plasmas, Vol. 21, Issue 5
Hollow wall to stabilize and enhance ignition hohlraums
journal, January 2018
- Vandenboomgaerde, M.; Grisollet, A.; Bonnefille, M.
- Physics of Plasmas, Vol. 25, Issue 1
Effective potential theory for diffusion in binary ionic mixtures
journal, January 2017
- Shaffer, Nathaniel R.; Baalrud, Scott D.; Daligault, Jérôme
- Physical Review E, Vol. 95, Issue 1
Behavior of the coupling parameter under isochoric heating in a high- plasma
journal, June 2013
- Clérouin, Jean; Robert, Gregory; Arnault, Philippe
- Physical Review E, Vol. 87, Issue 6
Hydrodynamic description of an unmagnetized plasma with multiple ion species. I. General formulation
journal, March 2016
- Simakov, Andrei N.; Molvig, Kim
- Physics of Plasmas, Vol. 23, Issue 3
Enhancement factor of nuclear reactions in partially ionized plasmas and asymmetric mixtures
journal, February 2019
- Arnault, Philippe; Clérouin, Jean; Desbiens, Nicolas
- Contributions to Plasma Physics, Vol. 59, Issue 4-5
Electron-ion coupling factor for temperature relaxation in dense plasmas
journal, February 2020
- Faussurier, Gérald
- Physical Review E, Vol. 101, Issue 2
Benchmarking the effective one-component plasma model for warm dense neon and krypton within quantum molecular dynamics simulation
journal, February 2020
- Wang, Zhao-Qi; Tang, Jun; Hou, Yong
- Physical Review E, Vol. 101, Issue 2
Plasma kinetic effects on interfacial mix and burn rates in multispatial dimensions
journal, June 2019
- Yin, L.; Albright, B. J.; Vold, E. L.
- Physics of Plasmas, Vol. 26, Issue 6
Development of the CD Symcap platform to study gas-shell mix in implosions at the National Ignition Facility
journal, September 2014
- Casey, D. T.; Smalyuk, V. A.; Tipton, R. E.
- Physics of Plasmas, Vol. 21, Issue 9
Self-similar regimes of turbulence in weakly coupled plasmas under compression
journal, February 2018
- Viciconte, Giovanni; Gréa, Benoît-Joseph; Godeferd, Fabien S.
- Physical Review E, Vol. 97, Issue 2
Ionic transport in high-energy-density matter
journal, April 2016
- Stanton, Liam G.; Murillo, Michael S.
- Physical Review E, Vol. 93, Issue 4
Modeling viscosity and diffusion of plasma for pure elements and multicomponent mixtures from weakly to strongly coupled regimes
journal, December 2013
- Arnault, Philippe
- High Energy Density Physics, Vol. 9, Issue 4
Self-interaction correction to density-functional approximations for many-electron systems
journal, May 1981
- Perdew, J. P.; Zunger, Alex
- Physical Review B, Vol. 23, Issue 10, p. 5048-5079
Multicomponent mutual diffusion in the warm, dense matter regime
journal, September 2019
- White, A. J.; Ticknor, C.; Meyer, E. R.
- Physical Review E, Vol. 100, Issue 3
Enhancement of nuclear reaction rates in asymmetric binary ionic mixtures
journal, November 2017
- Clérouin, J.; Arnault, P.; Desbiens, N.
- Contributions to Plasma Physics, Vol. 57, Issue 10
Viscosity and mutual diffusion in strongly asymmetric binary ionic mixtures
journal, May 2005
- Bastea, Sorin
- Physical Review E, Vol. 71, Issue 5
Properties of Hot Dense Plasmas by Orbital-Free Molecular Dynamics
journal, July 2007
- Lambert, F.; Clérouin, J.; Mazevet, S.
- Contributions to Plasma Physics, Vol. 47, Issue 4-5
A HNC study of asymmetrically charged hard spheres
journal, December 1980
- Rogers, F. J.
- The Journal of Chemical Physics, Vol. 73, Issue 12
Nuclear yield reduction in inertial confinement fusion exploding-pusher targets explained by fuel-pusher mixing through hybrid kinetic-fluid modeling
journal, September 2018
- Larroche, O.; Rinderknecht, H. G.; Rosenberg, M. J.
- Physical Review E, Vol. 98, Issue 3
Sudden Viscous Dissipation of Compressing Turbulence
journal, March 2016
- Davidovits, Seth; Fisch, Nathaniel J.
- Physical Review Letters, Vol. 116, Issue 10
Sudden diffusion of turbulent mixing layers in weakly coupled plasmas under compression
journal, December 2019
- Viciconte, Giovanni; Gréa, Benoît-Joseph; Godeferd, Fabien S.
- Physical Review E, Vol. 100, Issue 6