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

Abstract

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.

Authors:

^[1]

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

Publication Date:: 2017-09-28

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

Sponsoring Org.:: USDOE

OSTI Identifier:: 1396133

Alternate Identifier(s):: OSTI ID: 1549230

Report Number(s):: LA-UR-17-26365
Journal ID: ISSN 1574-1818

Grant/Contract Number:: AC52-06NA25396

Resource Type:: Accepted Manuscript

Journal Name:: High Energy Density Physics

Additional Journal Information:: Journal Volume: 25; Journal ID: ISSN 1574-1818

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

Subject:: 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; Electrical conductivity

Citation Formats


                    Starrett, C. E. Potential of mean force for electrical conductivity of dense plasmas.  United States: N. p., 2017. 
Web.  doi:10.1016/j.hedp.2017.09.003.

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                    Starrett, C. E. Potential of mean force for electrical conductivity of dense plasmas.  United States.  https://doi.org/10.1016/j.hedp.2017.09.003

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                    Starrett, C. E. Thu .  
"Potential of mean force for electrical conductivity of dense plasmas".  United States.  https://doi.org/10.1016/j.hedp.2017.09.003.  https://www.osti.gov/servlets/purl/1396133.

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@article{osti_1396133,

  title        = {Potential of mean force for electrical conductivity of dense plasmas},

  author       = {Starrett, C. E.},

  abstractNote = {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.},

  doi          = {10.1016/j.hedp.2017.09.003},

  journal      = {High Energy Density Physics},

  number       = ,

  volume       = 25,

  place        = {United States},

  year         = {2017},

  month        = {9}

}

Copy to clipboard

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https://doi.org/10.1016/j.hedp.2017.09.003

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Works referenced in this record:

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Works referencing / citing this record:

Correlations between conduction electrons in dense plasmas
journal, January 2020

Shaffer, Nathaniel R.; Starrett, Charles E.
Physical Review E, Vol. 101, Issue 1
DOI: 10.1103/physreve.101.013208

Theory of the electron-ion temperature relaxation rate spanning the hot solid metals and plasma phases
journal, October 2019

Daligault, Jérôme; Simoni, Jacopo
Physical Review E, Vol. 100, Issue 4
DOI: 10.1103/physreve.100.043201

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

Abstract

Citation Formats

Electrical conductivity for warm, dense aluminum plasmas and liquids journal, August 2002

Ionic and electronic transport properties in dense plasmas by orbital-free density functional theory journal, December 2015

Electronic transport coefficients from ab initio simulations and application to dense liquid hydrogen journal, June 2011

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First-principles thermal conductivity of warm-dense deuterium plasmas for inertial confinement fusion applications journal, April 2014

Density-functional calculations of transport properties in the nondegenerate limit and the role of electron-electron scattering journal, March 2017

Free-Electron X-Ray Laser Measurements of Collisional-Damped Plasmons in Isochorically Heated Warm Dense Matter journal, September 2015

Electrical conductivity of dense copper and aluminum plasmas journal, May 1998

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

Resistivity of a Simple Metal from Room Temperature to 10 6 K journal, November 1988

Electrical Resistivity Measurements of Hot Dense Aluminum journal, October 1999

An electron conductivity model for dense plasmas journal, January 1984

Comparison of electron transport calculations in warm dense matter using the Ziman formula journal, June 2016

A theory of the electrical properties of liquid metals. I: The monovalent metals journal, August 1961

Systematic calculations of plasma transport coefficients for the Periodic Table journal, February 1988

Transport and dielectric properties of dense ionized matter from the average-atom RESEOS model journal, September 2016

Electrical resistivity of hot dense plasmas 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 journal, May 2010

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Average atom transport properties for pure and mixed species in the hot and warm dense matter regimes journal, October 2012

Kubo–Greenwood approach to conductivity in dense plasmas with average atom models journal, June 2016

Effective Potential Theory for Transport Coefficients across Coupling Regimes journal, June 2013

Conductivity of warm dense matter including electron-electron collisions journal, April 2015

Electrical Resistivity in Warm Dense Plasmas Beyond the Average-Atom Model journal, January 2010

Resistivity saturation in warm dense matter journal, January 2015

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Ionic Transport Coefficients of Dense Plasmas without Molecular Dynamics journal, February 2016

Integral equation model for warm and hot dense mixtures journal, September 2014

Electronic and ionic structures of warm and hot dense matter journal, January 2013

A simple method for determining the ionic structure of warm dense matter journal, March 2014

Practical Improvements to the Lee-More Conductivity Near the Metal-Insulator Transition journal, March 2001

Equation of state of dense plasmas with pseudoatom molecular dynamics journal, June 2016

Models of the elastic x-ray scattering feature for warm dense aluminum journal, September 2015

Conductivities in Hot Aluminium Plasma journal, January 2001

Static and dynamic conductivity of warm dense matter within a density-functional approach: Application to aluminum and gold 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 journal, March 1992

Free-free opacity in dense plasmas with an average atom model journal, June 2017

Correlations between conduction electrons in dense plasmas journal, January 2020

Theory of the electron-ion temperature relaxation rate spanning the hot solid metals and plasma phases journal, October 2019

Electrical conductivity for warm, dense aluminum plasmas and liquids
journal, August 2002

Ionic and electronic transport properties in dense plasmas by orbital-free density functional theory
journal, December 2015

Electronic transport coefficients from ab initio simulations and application to dense liquid hydrogen
journal, June 2011

Thermoelectric transport properties of molybdenum from $ab initio$ simulations
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First-principles thermal conductivity of warm-dense deuterium plasmas for inertial confinement fusion applications
journal, April 2014

Density-functional calculations of transport properties in the nondegenerate limit and the role of electron-electron scattering
journal, March 2017

Free-Electron X-Ray Laser Measurements of Collisional-Damped Plasmons in Isochorically Heated Warm Dense Matter
journal, September 2015

Electrical conductivity of dense copper and aluminum plasmas
journal, May 1998

Direct measurements and ab initio simulations for expanded fluid aluminum in the metal-nonmetal transition range
journal, December 2008

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

Resistivity of a Simple Metal from Room Temperature to $10^{6}$ K
journal, November 1988

Electrical Resistivity Measurements of Hot Dense Aluminum
journal, October 1999

An electron conductivity model for dense plasmas
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Comparison of electron transport calculations in warm dense matter using the Ziman formula
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A theory of the electrical properties of liquid metals. I: The monovalent metals
journal, August 1961

Systematic calculations of plasma transport coefficients for the Periodic Table
journal, February 1988

Transport and dielectric properties of dense ionized matter from the average-atom RESEOS model
journal, September 2016

Electrical resistivity of hot dense plasmas
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
journal, May 2010

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

Average atom transport properties for pure and mixed species in the hot and warm dense matter regimes
journal, October 2012

Kubo–Greenwood approach to conductivity in dense plasmas with average atom models
journal, June 2016

Effective Potential Theory for Transport Coefficients across Coupling Regimes
journal, June 2013

Conductivity of warm dense matter including electron-electron collisions
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Electrical Resistivity in Warm Dense Plasmas Beyond the Average-Atom Model
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Resistivity saturation in warm dense matter
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Electron scattering in hot/warm plasmas
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Ionic Transport Coefficients of Dense Plasmas without Molecular Dynamics
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Integral equation model for warm and hot dense mixtures
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Electronic and ionic structures of warm and hot dense matter
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A simple method for determining the ionic structure of warm dense matter
journal, March 2014

Practical Improvements to the Lee-More Conductivity Near the Metal-Insulator Transition
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Equation of state of dense plasmas with pseudoatom molecular dynamics
journal, June 2016

Models of the elastic x-ray scattering feature for warm dense aluminum
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Static and dynamic conductivity of warm dense matter within a density-functional approach: Application to aluminum and gold
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Resistivity and dynamic conductivity of laser-pulse heated aluminum up to 106 K and along the shock Hugoniot up to 20 Mbars
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journal, June 2017

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