skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

This content will become publicly available on June 24, 2020

Title: Excess pressure and electric fields in nonideal plasma hydrodynamics

Abstract

Nonideal plasmas have nontrivial space and time correlations, which simultaneously impact both the excess thermodynamic quantities as well as the collision processes. Yet, hydrodynamics models for designing and interpreting nonideal plasma experiments, such as inertial-confinement fusion experiments, typically neglect electrodynamics, although some models include electric fields indirectly through a generalized Fick's law. However, because most transport models are not computed self-consistently with the equation of state, there is double counting of the forces in the excess thermodynamic quantities and the collision terms. Here we employ the statistical mechanical hydrodynamic theory of Irving and Kirkwood [J. Chem. Phys. 18, 817 (1950)] to examine inhomogeneous, nonideal plasmas that contain electric fields. We show that it is not possible to simultaneously separate terms that correspond to electric fields and excess pressure; rather, these quantities arise from the same interparticle Coulomb forces. Additionally, new terms associated with nonlocality appear in the presence of strong inhomogeneities.

Authors:
ORCiD logo [1];  [2]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Michigan State Univ., East Lansing, MI (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:
1544725
Report Number(s):
LA-UR-18-29204
Journal ID: ISSN 2470-0045; PLEEE8
Grant/Contract Number:  
89233218CNA000001
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review E
Additional Journal Information:
Journal Volume: 99; Journal Issue: 6; Journal ID: ISSN 2470-0045
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; 74 ATOMIC AND MOLECULAR PHYSICS; Equation of state; heterogeneous plasmas; electric fields; Euler

Citation Formats

Diaw, A., and Murillo, Michael S. Excess pressure and electric fields in nonideal plasma hydrodynamics. United States: N. p., 2019. Web. doi:10.1103/PhysRevE.99.063207.
Diaw, A., & Murillo, Michael S. Excess pressure and electric fields in nonideal plasma hydrodynamics. United States. doi:10.1103/PhysRevE.99.063207.
Diaw, A., and Murillo, Michael S. Mon . "Excess pressure and electric fields in nonideal plasma hydrodynamics". United States. doi:10.1103/PhysRevE.99.063207.
@article{osti_1544725,
title = {Excess pressure and electric fields in nonideal plasma hydrodynamics},
author = {Diaw, A. and Murillo, Michael S.},
abstractNote = {Nonideal plasmas have nontrivial space and time correlations, which simultaneously impact both the excess thermodynamic quantities as well as the collision processes. Yet, hydrodynamics models for designing and interpreting nonideal plasma experiments, such as inertial-confinement fusion experiments, typically neglect electrodynamics, although some models include electric fields indirectly through a generalized Fick's law. However, because most transport models are not computed self-consistently with the equation of state, there is double counting of the forces in the excess thermodynamic quantities and the collision terms. Here we employ the statistical mechanical hydrodynamic theory of Irving and Kirkwood [J. Chem. Phys. 18, 817 (1950)] to examine inhomogeneous, nonideal plasmas that contain electric fields. We show that it is not possible to simultaneously separate terms that correspond to electric fields and excess pressure; rather, these quantities arise from the same interparticle Coulomb forces. Additionally, new terms associated with nonlocality appear in the presence of strong inhomogeneities.},
doi = {10.1103/PhysRevE.99.063207},
journal = {Physical Review E},
number = 6,
volume = 99,
place = {United States},
year = {2019},
month = {6}
}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on June 24, 2020
Publisher's Version of Record

Save / Share:

Works referenced in this record:

Proton Radiography of Inertial Fusion Implosions
journal, February 2008


The potential role of electric fields and plasma barodiffusion on the inertial confinement fusion database
journal, May 2011

  • Amendt, Peter; Wilks, S. C.; Bellei, C.
  • Physics of Plasmas, Vol. 18, Issue 5
  • DOI: 10.1063/1.3577577

Plasma Adiabatic Lapse Rate
journal, August 2012


The effects of laser absorption on direct-drive capsule experiments at OMEGA
journal, April 2012

  • Dodd, E. S.; Benage, J. F.; Kyrala, G. A.
  • Physics of Plasmas, Vol. 19, Issue 4
  • DOI: 10.1063/1.3700187

Constraining fundamental plasma physics processes using doped capsule implosions
journal, May 2008


The effects of pre-mix on burn in ICF capsules
journal, May 2008


Knudsen Layer Reduction of Fusion Reactivity
journal, August 2012


Electric field and ionization-gradient effects on inertial-confinement-fusion implosions
journal, November 2009


Species separation and kinetic effects in collisional plasma shocks
journal, May 2014

  • Bellei, C.; Rinderknecht, H.; Zylstra, A.
  • Physics of Plasmas, Vol. 21, Issue 5
  • DOI: 10.1063/1.4876614

Ion-kinetic simulations of D- 3 He gas-filled inertial confinement fusion target implosions with moderate to large Knudsen number
journal, January 2016

  • Larroche, O.; Rinderknecht, H. G.; Rosenberg, M. J.
  • Physics of Plasmas, Vol. 23, Issue 1
  • DOI: 10.1063/1.4939025

Interfacial mixing in high-energy-density matter with a multiphysics kinetic model
journal, December 2017


Yield degradation in inertial-confinement-fusion implosions due to shock-driven kinetic fuel-species stratification and viscous heating
journal, May 2018

  • Taitano, W. T.; Simakov, A. N.; Chacón, L.
  • Physics of Plasmas, Vol. 25, Issue 5
  • DOI: 10.1063/1.5024402

Multiscale Molecular Dynamics Model for Heterogeneous Charged Systems
journal, May 2018


Three-dimensional HYDRA simulations of National Ignition Facility targets
journal, May 2001

  • Marinak, M. M.; Kerbel, G. D.; Gentile, N. A.
  • Physics of Plasmas, Vol. 8, Issue 5
  • DOI: 10.1063/1.1356740

A Review of Equation-of-State Models for Inertial Confinement Fusion Materials
journal, September 2018


Tests of the hydrodynamic equivalence of direct-drive implosions with different D2 and He3 mixtures
journal, May 2006

  • Rygg, J. R.; Frenje, J. A.; Li, C. K.
  • Physics of Plasmas, Vol. 13, Issue 5
  • DOI: 10.1063/1.2192759

Effect of laser illumination nonuniformity on the analysis of time-resolved x-ray measurements in uv spherical transport experiments
journal, October 1987


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


Thermo-diffusion in inertially confined plasmas
journal, April 2014


Generalized hydrodynamics model for strongly coupled plasmas
journal, July 2015


A Dynamic Density Functional Theory Approach to Diffusion in White Dwarfs and Neutron star Envelopes
journal, September 2016


Free Energy of a Nonuniform System. I. Interfacial Free Energy
journal, February 1958

  • Cahn, John W.; Hilliard, John E.
  • The Journal of Chemical Physics, Vol. 28, Issue 2
  • DOI: 10.1063/1.1744102

Theory of dynamic critical phenomena
journal, July 1977


Dynamic density functional theory of fluids
journal, April 1999

  • Marconi, Umberto Marini Bettolo; Tarazona, Pedro
  • The Journal of Chemical Physics, Vol. 110, Issue 16
  • DOI: 10.1063/1.478705

Dynamical density functional theory and its application to spinodal decomposition
journal, September 2004

  • Archer, A. J.; Evans, R.
  • The Journal of Chemical Physics, Vol. 121, Issue 9
  • DOI: 10.1063/1.1778374

A viscous quantum hydrodynamics model based on dynamic density functional theory
journal, November 2017


Hydrodynamic response of inhomogeneous metallic systems
journal, September 1974


Unified description of linear screening in dense plasmas
journal, March 2015


Statistical Mechanics of Transport Processes. XI. Equations of Transport in Multicomponent Systems
journal, January 1958

  • Bearman, Richard J.; Kirkwood, John G.
  • The Journal of Chemical Physics, Vol. 28, Issue 1
  • DOI: 10.1063/1.1744056

Kinetic theory molecular dynamics and hot dense matter: Theoretical foundations
journal, September 2014


Microscopic simulation of a strongly coupled hydrogen plasma
journal, April 1981


Ionic transport in high-energy-density matter
journal, April 2016


Fast Parallel Algorithms for Short-Range Molecular Dynamics
journal, March 1995


Shock-induced mix across an ideal interface
journal, April 2017

  • Bellei, C.; Amendt, P. A.
  • Physics of Plasmas, Vol. 24, Issue 4
  • DOI: 10.1063/1.4979904

Thin-foil expansion into a vacuum with a two-temperature electron distribution function
journal, August 2012


The Quantum Hydrodynamic Model for Semiconductor Devices
journal, April 1994


Self-consistent fluid model for a quantum electron gas
journal, July 2001


The Statistical Mechanical Theory of Transport Processes. IV. The Equations of Hydrodynamics
journal, June 1950

  • Irving, J. H.; Kirkwood, John G.
  • The Journal of Chemical Physics, Vol. 18, Issue 6
  • DOI: 10.1063/1.1747782

On sum rules and Stillinger–Lovett conditions for inhomogeneous Coulomb systems
journal, March 1983

  • Carnie, Steven L.
  • The Journal of Chemical Physics, Vol. 78, Issue 5
  • DOI: 10.1063/1.444984

On gradient theories of fluid interfacial stress and structure
journal, December 1978

  • Carey, B. S.; Scriven, L. E.; Davis, H. T.
  • The Journal of Chemical Physics, Vol. 69, Issue 11
  • DOI: 10.1063/1.436494

The role of attractive intermolecular forces in the density functional theory of inhomogeneous fluids
journal, April 1992

  • Sokolowski, S.; Fischer, J.
  • The Journal of Chemical Physics, Vol. 96, Issue 7
  • DOI: 10.1063/1.462727

Modified Van der Waals theory of fluid interfaces
journal, November 1975


Surface Structure of a Square‐Well Fluid
journal, November 1972

  • Toxvaerd, Soren
  • The Journal of Chemical Physics, Vol. 57, Issue 10
  • DOI: 10.1063/1.1678031