Theoretical and experimental investigation of the equation of state of boron plasmas

Zhang, Shuai; Militzer, Burkhard; Gregor, Michelle C.; Caspersen, Kyle; Yang, Lin H.; Gaffney, Jim; Ogitsu, Tadashi; Swift, Damian; Lazicki, Amy; Erskine, D.; London, Richard A.; Celliers, P. M.; Nilsen, Joseph; Sterne, Philip A.; Whitley, Heather D.

doi:10.1103/PhysRevE.98.023205

Title: Theoretical and experimental investigation of the equation of state of boron plasmas

Abstract

We report a theoretical equation of state (EOS) table for boron across a wide range of temperatures (5.1 10⁴{5.2 10⁸ K) and densities (0.25{49 g/cm³), and experimental shock Hugoniot data at unprecedented high pressures (5608 118 GPa). The calculations are performed with first-principles methods combining path integral Monte Carlo (PIMC) at high temperatures and density functional theory molecular dynamics (DFT-MD) methods at lower temperatures. PIMC and DFT-MD cross-validate each other by providing coherent EOS (difference <1.5 Hartree/boron in energy and <5% in pressure) at 5.1 10⁵ K. The Hugoniot measurement is conducted at the National Ignition Facility using a planar shock platform. The pressure-density relation found in our shock experiment is on top of the shock Hugoniot profile predicted with our first-principles EOS and a semi-empirical EOS table (LEOS 50). We investigate the self diffusivity and the effect of thermal and pressure-driven ionization on the EOS and shock compression behavior in high pressure and temperature conditions. We also study the sensitivity of a polar direct-drive exploding pusher platform to pressure variations based on applying pressure multipliers to LEOS 50 and by utilizing a new EOS model based on our ab initio simulations via 1D radiation-hydrodynamic calculations. The results are valuablemore »« less

Authors:

Zhang, Shuai ^[1]; Militzer, Burkhard ^[2]; Gregor, Michelle C. ^[1]; Caspersen, Kyle ^[1]; Yang, Lin H. ^[1]; Gaffney, Jim ^[1]; Ogitsu, Tadashi ^[1]; Swift, Damian ^[1]; Lazicki, Amy ^[1]; Erskine, D. ^[1]; London, Richard A. ^[1]; Celliers, P. M. ^[1]; Nilsen, Joseph ^[1]; Sterne, Philip A. ^[1]; Whitley, Heather D. ^[1]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Univ. of California, Berkeley, CA (United States)

Publication Date:: 2018-08-23

Research Org.:: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA)

OSTI Identifier:: 1512581

Alternate Identifier(s):: OSTI ID: 1466075

Report Number(s):: LLNL-JRNL-748227
Journal ID: ISSN 2470-0045; PLEEE8; 933253

Grant/Contract Number:: AC52-07NA27344; SC0016248

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review E

Additional Journal Information:: Journal Volume: 98; Journal Issue: 2; 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


                    Zhang, Shuai, Militzer, Burkhard, Gregor, Michelle C., Caspersen, Kyle, Yang, Lin H., Gaffney, Jim, Ogitsu, Tadashi, Swift, Damian, Lazicki, Amy, Erskine, D., London, Richard A., Celliers, P. M., Nilsen, Joseph, Sterne, Philip A., and Whitley, Heather D.. Theoretical and experimental investigation of the equation of state of boron plasmas.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevE.98.023205.

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                    Zhang, Shuai, Militzer, Burkhard, Gregor, Michelle C., Caspersen, Kyle, Yang, Lin H., Gaffney, Jim, Ogitsu, Tadashi, Swift, Damian, Lazicki, Amy, Erskine, D., London, Richard A., Celliers, P. M., Nilsen, Joseph, Sterne, Philip A., & Whitley, Heather D.. Theoretical and experimental investigation of the equation of state of boron plasmas.  United States.  https://doi.org/10.1103/PhysRevE.98.023205

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                    Zhang, Shuai, Militzer, Burkhard, Gregor, Michelle C., Caspersen, Kyle, Yang, Lin H., Gaffney, Jim, Ogitsu, Tadashi, Swift, Damian, Lazicki, Amy, Erskine, D., London, Richard A., Celliers, P. M., Nilsen, Joseph, Sterne, Philip A., and Whitley, Heather D.. Thu .  
"Theoretical and experimental investigation of the equation of state of boron plasmas".  United States.  https://doi.org/10.1103/PhysRevE.98.023205.  https://www.osti.gov/servlets/purl/1512581.

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@article{osti_1512581,

  title        = {Theoretical and experimental investigation of the equation of state of boron plasmas},

  author       = {Zhang, Shuai and Militzer, Burkhard and Gregor, Michelle C. and Caspersen, Kyle and Yang, Lin H. and Gaffney, Jim and Ogitsu, Tadashi and Swift, Damian and Lazicki, Amy and Erskine, D. and London, Richard A. and Celliers, P. M. and Nilsen, Joseph and Sterne, Philip A. and Whitley, Heather D.},

  abstractNote = {We report a theoretical equation of state (EOS) table for boron across a wide range of temperatures (5.1 104{5.2 108 K) and densities (0.25{49 g/cm3), and experimental shock Hugoniot data at unprecedented high pressures (5608 118 GPa). The calculations are performed with first-principles methods combining path integral Monte Carlo (PIMC) at high temperatures and density functional theory molecular dynamics (DFT-MD) methods at lower temperatures. PIMC and DFT-MD cross-validate each other by providing coherent EOS (difference <1.5 Hartree/boron in energy and <5% in pressure) at 5.1 105 K. The Hugoniot measurement is conducted at the National Ignition Facility using a planar shock platform. The pressure-density relation found in our shock experiment is on top of the shock Hugoniot profile predicted with our first-principles EOS and a semi-empirical EOS table (LEOS 50). We investigate the self diffusivity and the effect of thermal and pressure-driven ionization on the EOS and shock compression behavior in high pressure and temperature conditions. We also study the sensitivity of a polar direct-drive exploding pusher platform to pressure variations based on applying pressure multipliers to LEOS 50 and by utilizing a new EOS model based on our ab initio simulations via 1D radiation-hydrodynamic calculations. The results are valuable for future theoretical and experimental studies and engineering design in high energy density research.},

  doi          = {10.1103/PhysRevE.98.023205},

  journal      = {Physical Review E},

  number       = 2,

  volume       = 98,

  place        = {United States},

  year         = {2018},

  month        = {8}

}

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van Setten, Michiel J.; Uijttewaal, Matthe A.; de Wijs, Gilles A.
ChemInform, Vol. 38, Issue 18
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Ionic high-pressure form of elemental boron
journal, July 2009

Oganov, Artem R.; Chen, Jiuhua; Gatti, Carlo
Nature, Vol. 460, Issue 7252
DOI: 10.1038/nature08164

Amorphization-induced surface electronic states modulation of cobaltous oxide nanosheets for lithium-sulfur batteries
journal, May 2021

Li, Ruilong; Rao, Dewei; Zhou, Jianbin
Nature Communications, Vol. 12, Issue 1
DOI: 10.1038/s41467-021-23349-9

Phase Diagram of Hydrogen and a Hydrogen-Helium Mixture at Planetary Conditions by Quantum Monte Carlo Simulations
text, January 2018

Mazzola, Guglielmo; Helled, Ravit; Sorella, Sandro
American Physical Society
DOI: 10.5167/uzh-157116

Phase diagram of hydrogen and a hydrogen-helium mixture at planetary conditions by Quantum Monte Carlo simulations
text, January 2017

Mazzola, Guglielmo; Helled, Ravit; Sorella, Sandro
ETH Zurich
DOI: 10.3929/ethz-b-000224874

Comparison of solid state crystallization of boron polymorphs at ambient and high pressures
text, January 2011

Kurakevych, Oleksandr O.; Godec, Yann Le; Hammouda, Tahar
arXiv
DOI: 10.48550/arxiv.1110.1731

Development of Path Integral Monte Carlo Simulations with Localized Nodal Surfaces for Second-Row Elements
text, January 2015

Militzer, Burkhard; Driver, Kevin P.
arXiv
DOI: 10.48550/arxiv.1510.07278

First-Principles Equation of State and Electronic Properties of Warm Dense Oxygen
text, January 2016

Driver, K. P.; Soubiran, F.; Zhang, Shuai
arXiv
DOI: 10.48550/arxiv.1601.05782

First-Principles Simulations of Warm Dense Lithium Fluoride
text, January 2017

Driver, K. P.; Militzer, B.
arXiv
DOI: 10.48550/arxiv.1704.05197

First-principles Equation of State and Shock Compression Predictions of Warm Dense Hydrocarbons
text, January 2017

Zhang, Shuai; Driver, Kevin P.; Soubiran, François
arXiv
DOI: 10.48550/arxiv.1706.09073

Calculation of a Deuterium Double Shock Hugoniot from Ab initio Simulations
text, January 2001

Militzer, B.; Ceperley, D. M.; Kress, J. D.
arXiv
DOI: 10.48550/arxiv.cond-mat/0108076

Simulations of Dense Atomic Hydrogen in the Wigner Crystal Phase
text, January 2005

Militzer, Burkhard; Graham, Rebekah L.
arXiv
DOI: 10.48550/arxiv.cond-mat/0506463

First Principles Calculations of Shock Compressed Fluid Helium
text, January 2006

Militzer, B.
arXiv
DOI: 10.48550/arxiv.cond-mat/0609640

Works referencing / citing this record:

Electronic structure of first and second row atoms under harmonic confinement
journal, December 2019

Robles‐Navarro, Andrés; Fuentealba, Patricio; Muñoz, Francisco
International Journal of Quantum Chemistry, Vol. 120, Issue 7
DOI: 10.1002/qua.26132

Magnesium oxide at extreme temperatures and pressures studied with first-principles simulations
journal, December 2019

Soubiran, François; González-Cataldo, Felipe; Driver, Kevin P.
The Journal of Chemical Physics, Vol. 151, Issue 21
DOI: 10.1063/1.5126624

Path integral Monte Carlo and density functional molecular dynamics simulations of warm dense ${MgSiO}_{3}$
journal, January 2020

González-Cataldo, Felipe; Soubiran, François; Peterson, Henry
Physical Review B, Vol. 101, Issue 2
DOI: 10.1103/physrevb.101.024107

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Title: Theoretical and experimental investigation of the equation of state of boron plasmas

Abstract

Citation Formats

Generalized Gradient Approximation Made Simple journal, October 1996

Characterization of the State of Hydrogen at High Temperature and Density journal, January 1999

Properties and computation of the Coulomb pair density matrix journal, December 1988

High-pressure high-temperature x-ray diffraction of β-boron to 30 GPa journal, May 2003

A database for equations of state and resistivities measurements in the warm dense matter regime journal, August 2012

Ionic high-pressure form of elemental boron journal, January 2009

Extended application of Kohn-Sham first-principles molecular dynamics method with plane wave approximation at high energy—From cold materials to hot dense plasmas journal, April 2016

Statistical Mechanics of Reacting Coulomb Gases journal, August 1973

The Electron Transport Coefficients of Boron and Silicon Plasma journal, May 2013

Hugoniot experiments with unsteady waves journal, July 2014

First-principles equation of state of polystyrene and its effect on inertial confinement fusion implosions journal, October 2015

Validation of the activity expansion method with ultrahigh pressure shock equations of state journal, November 1997

COMPTRA04 - a Program Package to Calculate Composition and Transport Coefficients in Dense Plasmas journal, March 2005

Electronic structure and bonding of β -rhombohedral boron using cluster fragment approach journal, November 2005

Computation of the high temperature Coulomb density matrix in periodic boundary conditions journal, July 2016

Experiments and simulations on hot expanded boron journal, February 2008

Path integral Monte Carlo simulations of warm dense sodium journal, December 2016

β-Rhombohedral Boron: At the Crossroads of the Chemistry of Boron and the Physics of Frustration journal, March 2013

Multiphase equation of state for carbon addressing high pressures and temperatures journal, June 2014

Self-Consistent Equations Including Exchange and Correlation Effects journal, November 1965

Equation of state of dense, partially degenerate, reacting plasmas journal, September 1981

Geometrical frustration in an elemental solid: An Ising model to explain the defect structure of β -rhombohedral boron journal, January 2010

Viscosity and mutual diffusion of deuterium-tritium mixtures in the warm-dense-matter regime journal, September 2010

Liquid-State Properties of a One-Component Plasma journal, February 2006

A new quotidian equation of state (QEOS) for hot dense matter journal, January 1988

Ab initio equation of state of α - and β -boron: Possible amorphization of β -boron under high pressure journal, June 2009

A new global equation of state model for hot, dense matter journal, September 1995

Equation of state, occupation probabilities and conductivities in the average atom Purgatorio code journal, May 2007

Phase relations in boron at pressures up to 18 GPa and temperatures up to 2200 ∘ C journal, January 2012

Hydrogen–Helium Mixtures at High Pressure journal, June 2005

Structural and electronic properties of liquid boron from a molecular-dynamics simulation journal, August 1995

A study of ALE simulations of Rayleigh–Taylor instability journal, March 2001

Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set journal, October 1996

Explicit local exchange-correlation potentials journal, October 1971

Equation of state of dense plasmas by ab initio simulations: Bridging the gap between quantum molecular dynamics and orbital-free molecular dynamics at high temperature journal, December 2012

Erratum: Optimized norm-conserving Vanderbilt pseudopotentials [Phys. Rev. B 88, 085117 (2013)] journal, June 2017

Measurement of High-Pressure Shock Waves in Cryogenic Deuterium-Tritium Ice Layered Capsule Implosions on NIF journal, August 2013

Dante soft x-ray power diagnostic for National Ignition Facility journal, October 2004

Optical properties of plasmas based on an average-atom model journal, May 2006

Ab initio molecular dynamics simulations of dense boron plasmas up to the semiclassical Thomas-Fermi regime journal, May 2007

Liquid boron: X-ray measurements and ab initio molecular dynamics simulations journal, April 2009

Optimization of a high-yield, low-areal-density fusion product source at the National Ignition Facility with applications in nucleosynthesis experiments journal, May 2018

Determination of Phase Stability of Elemental Boron journal, January 2015

Improved tetrahedron method for Brillouin-zone integrations journal, June 1994

Equilibrium p-T Phase Diagram of Boron: Experimental Study and Thermodynamic Analysis journal, August 2013

Path integral Monte Carlo simulations of dense carbon-hydrogen plasmas journal, March 2018

Crystal stability of α - and β -boron journal, March 2006

Electron Deformation Density in Rhombohedral α-Boron journal, September 2001

Line-imaging velocimeter for shock diagnostics at the OMEGA laser facility journal, November 2004

Statistical mechanics of Coulomb gases of arbitrary charge journal, December 1974

Superhard Semiconducting Optically Transparent High Pressure Phase of Boron journal, May 2009

First-principles equation of state and electronic properties of warm dense oxygen journal, October 2015

Comparison of solid-state crystallization of boron polymorphs at ambient and high pressures journal, March 2012

Phase diagram of boron crystals journal, April 2017

Large-scale quantum mechanical simulations of high-Z metals journal, July 2007

Imperfect Crystal and Unusual Semiconductor: Boron, a Frustrated Element journal, February 2009

Structure measurements of compressed liquid boron at megabar pressures journal, August 2013

Liquid–liquid phase transition in hydrogen by coupled electron–ion Monte Carlo simulations journal, April 2016

Localization and Screening Enhancement in Asymmetric Binary Ionic Mixtures: Localization and Screening Enhancement in Asymmetric Binary Ionic Mixtures journal, April 2015

Optimized norm-conserving Vanderbilt pseudopotentials journal, August 2013

Large-eddy and unsteady RANS simulations of a shock-accelerated heavy gas cylinder journal, April 2015

Equation of state, adiabatic sound speed, and Grüneisen coefficient of boron carbide along the principal Hugoniot to 700 GPa journal, November 2016

The National Ignition Facility: Ushering in a new age for high energy density science journal, April 2009

A unified formulation of the constant temperature molecular dynamics methods journal, July 1984

First Measurements of Hydrodynamic Instability Growth in Indirectly Driven Implosions at Ignition-Relevant Conditions on the National Ignition Facility journal, May 2014

Formation of composites in equilibrium plasmas journal, January 1979

Development and modeling of a polar-direct-drive exploding pusher platform at the National Ignition Facility journal, July 2018

Purgatorio—a new implementation of the Inferno algorithm journal, May 2006

High-mode Rayleigh-Taylor growth in NIF ignition capsules journal, June 2010

Equation of state, transport coefficients, and stopping power of dense plasmas from the average-atom model self-consistent approach for astrophysical and laboratory plasmas journal, May 2010

Pressure and electrical resistivity measurements on hot expanded nickel: Comparisons with quantum molecular dynamics simulations and average atom approaches journal, October 2010

Astrophysical Opacity journal, January 1994

Inhomogeneous Electron Gas journal, November 1964

Phase stability in α - and β -rhombohedral boron journal, March 2007

An Optimized Method for Treating Long-Range Potentials journal, March 1995

Occupation numbers for reacting plasmas - The role of the Planck-Larkin partition function journal, November 1986

Equation of state and transport coefficients for dense plasmas journal, January 2004

Generalized Gradient Approximation Made Simple
journal, October 1996

Characterization of the State of Hydrogen at High Temperature and Density
journal, January 1999

Properties and computation of the Coulomb pair density matrix
journal, December 1988

High-pressure high-temperature x-ray diffraction of β-boron to 30 GPa
journal, May 2003

A database for equations of state and resistivities measurements in the warm dense matter regime
journal, August 2012

Ionic high-pressure form of elemental boron
journal, January 2009

Extended application of Kohn-Sham first-principles molecular dynamics method with plane wave approximation at high energy—From cold materials to hot dense plasmas
journal, April 2016

Statistical Mechanics of Reacting Coulomb Gases
journal, August 1973

The Electron Transport Coefficients of Boron and Silicon Plasma
journal, May 2013

Hugoniot experiments with unsteady waves
journal, July 2014

First-principles equation of state of polystyrene and its effect on inertial confinement fusion implosions
journal, October 2015

Validation of the activity expansion method with ultrahigh pressure shock equations of state
journal, November 1997

COMPTRA04 - a Program Package to Calculate Composition and Transport Coefficients in Dense Plasmas
journal, March 2005

Electronic structure and bonding of $β$ -rhombohedral boron using cluster fragment approach
journal, November 2005

Computation of the high temperature Coulomb density matrix in periodic boundary conditions
journal, July 2016

Experiments and simulations on hot expanded boron
journal, February 2008

Path integral Monte Carlo simulations of warm dense sodium
journal, December 2016

β-Rhombohedral Boron: At the Crossroads of the Chemistry of Boron and the Physics of Frustration
journal, March 2013

Multiphase equation of state for carbon addressing high pressures and temperatures
journal, June 2014

Self-Consistent Equations Including Exchange and Correlation Effects
journal, November 1965

Equation of state of dense, partially degenerate, reacting plasmas
journal, September 1981

Geometrical frustration in an elemental solid: An Ising model to explain the defect structure of $β$ -rhombohedral boron
journal, January 2010

Viscosity and mutual diffusion of deuterium-tritium mixtures in the warm-dense-matter regime
journal, September 2010

Liquid-State Properties of a One-Component Plasma
journal, February 2006

A new quotidian equation of state (QEOS) for hot dense matter
journal, January 1988

Ab initio equation of state of $α$ - and $β$ -boron: Possible amorphization of $β$ -boron under high pressure
journal, June 2009

A new global equation of state model for hot, dense matter
journal, September 1995

Equation of state, occupation probabilities and conductivities in the average atom Purgatorio code
journal, May 2007

Phase relations in boron at pressures up to 18 GPa and temperatures up to 2200 $^{\circ}$ C
journal, January 2012

Hydrogen–Helium Mixtures at High Pressure
journal, June 2005

Structural and electronic properties of liquid boron from a molecular-dynamics simulation
journal, August 1995

A study of ALE simulations of Rayleigh–Taylor instability
journal, March 2001

Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set
journal, October 1996

Explicit local exchange-correlation potentials
journal, October 1971

Equation of state of dense plasmas by ab initio simulations: Bridging the gap between quantum molecular dynamics and orbital-free molecular dynamics at high temperature
journal, December 2012

Erratum: Optimized norm-conserving Vanderbilt pseudopotentials [Phys. Rev. B 88, 085117 (2013)]
journal, June 2017

Measurement of High-Pressure Shock Waves in Cryogenic Deuterium-Tritium Ice Layered Capsule Implosions on NIF
journal, August 2013

Dante soft x-ray power diagnostic for National Ignition Facility
journal, October 2004

Optical properties of plasmas based on an average-atom model
journal, May 2006

Ab initio molecular dynamics simulations of dense boron plasmas up to the semiclassical Thomas-Fermi regime
journal, May 2007

Liquid boron: X-ray measurements and ab initio molecular dynamics simulations
journal, April 2009

Optimization of a high-yield, low-areal-density fusion product source at the National Ignition Facility with applications in nucleosynthesis experiments
journal, May 2018

Determination of Phase Stability of Elemental Boron
journal, January 2015

Improved tetrahedron method for Brillouin-zone integrations
journal, June 1994

Equilibrium p-T Phase Diagram of Boron: Experimental Study and Thermodynamic Analysis
journal, August 2013

Path integral Monte Carlo simulations of dense carbon-hydrogen plasmas
journal, March 2018

Crystal stability of $α$ - and $β$ -boron
journal, March 2006

Electron Deformation Density in Rhombohedral α-Boron
journal, September 2001

Line-imaging velocimeter for shock diagnostics at the OMEGA laser facility
journal, November 2004

Statistical mechanics of Coulomb gases of arbitrary charge
journal, December 1974

Superhard Semiconducting Optically Transparent High Pressure Phase of Boron
journal, May 2009

First-principles equation of state and electronic properties of warm dense oxygen
journal, October 2015

Comparison of solid-state crystallization of boron polymorphs at ambient and high pressures
journal, March 2012

Phase diagram of boron crystals
journal, April 2017

Large-scale quantum mechanical simulations of high-Z metals
journal, July 2007

Imperfect Crystal and Unusual Semiconductor: Boron, a Frustrated Element
journal, February 2009

Structure measurements of compressed liquid boron at megabar pressures
journal, August 2013

Liquid–liquid phase transition in hydrogen by coupled electron–ion Monte Carlo simulations
journal, April 2016

Localization and Screening Enhancement in Asymmetric Binary Ionic Mixtures: Localization and Screening Enhancement in Asymmetric Binary Ionic Mixtures
journal, April 2015

Optimized norm-conserving Vanderbilt pseudopotentials
journal, August 2013

Large-eddy and unsteady RANS simulations of a shock-accelerated heavy gas cylinder
journal, April 2015

Equation of state, adiabatic sound speed, and Grüneisen coefficient of boron carbide along the principal Hugoniot to 700 GPa
journal, November 2016

The National Ignition Facility: Ushering in a new age for high energy density science
journal, April 2009

A unified formulation of the constant temperature molecular dynamics methods
journal, July 1984

First Measurements of Hydrodynamic Instability Growth in Indirectly Driven Implosions at Ignition-Relevant Conditions on the National Ignition Facility
journal, May 2014

Formation of composites in equilibrium plasmas
journal, January 1979

Development and modeling of a polar-direct-drive exploding pusher platform at the National Ignition Facility
journal, July 2018

Purgatorio—a new implementation of the Inferno algorithm
journal, May 2006

High-mode Rayleigh-Taylor growth in NIF ignition capsules
journal, June 2010

Equation of state, transport coefficients, and stopping power of dense plasmas from the average-atom model self-consistent approach for astrophysical and laboratory plasmas
journal, May 2010

Pressure and electrical resistivity measurements on hot expanded nickel: Comparisons with quantum molecular dynamics simulations and average atom approaches
journal, October 2010

Astrophysical Opacity
journal, January 1994

Inhomogeneous Electron Gas
journal, November 1964

Phase stability in $α$ - and $β$ -rhombohedral boron
journal, March 2007

An Optimized Method for Treating Long-Range Potentials
journal, March 1995

Occupation numbers for reacting plasmas - The role of the Planck-Larkin partition function
journal, November 1986

Equation of state and transport coefficients for dense plasmas
journal, January 2004

Simulations of dense atomic hydrogen in the Wigner crystal phase
journal, September 2006

Hugoniot and release measurements in diamond shocked up to 26 Mbar
journal, April 2017

Equation of state and shock compression of warm dense sodium—A first-principles study
journal, February 2017