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Title: Excess pressure and electric fields in nonideal plasma hydrodynamics

Journal Article · · Physical Review E
ORCiD logo [1];  [2]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Michigan State Univ., East Lansing, MI (United States)

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.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
89233218CNA000001
OSTI ID:
1544725
Report Number(s):
LA-UR-18-29204; PLEEE8
Journal Information:
Physical Review E, Vol. 99, Issue 6; ISSN 2470-0045
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 3 works
Citation information provided by
Web of Science

References (48)

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
Plasma Adiabatic Lapse Rate journal August 2012
The effects of laser absorption on direct-drive capsule experiments at OMEGA journal April 2012
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
Ion-kinetic simulations of D- 3 He gas-filled inertial confinement fusion target implosions with moderate to large Knudsen number journal January 2016
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
Multiscale Molecular Dynamics Model for Heterogeneous Charged Systems journal May 2018
Three-dimensional HYDRA simulations of National Ignition Facility targets journal May 2001
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
Effect of laser illumination nonuniformity on the analysis of time-resolved x-ray measurements in uv spherical transport experiments journal October 1987
A comparison of three-dimensional multimode hydrodynamic instability growth on various National Ignition Facility capsule designs with HYDRA simulations journal April 1998
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
Theory of dynamic critical phenomena journal July 1977
Dynamic density functional theory of fluids journal April 1999
Dynamical density functional theory and its application to spinodal decomposition journal September 2004
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
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
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
On sum rules and Stillinger–Lovett conditions for inhomogeneous Coulomb systems journal March 1983
On gradient theories of fluid interfacial stress and structure journal December 1978
The role of attractive intermolecular forces in the density functional theory of inhomogeneous fluids journal April 1992
Modified Van der Waals theory of fluid interfaces journal November 1975
Surface Structure of a Square‐Well Fluid journal November 1972
Dynamic density functional theory of fluids journal February 2000
Self-consistent fluid model for a quantum electron gas text January 2002
Dynamical density functional theory and its application to spinodal decomposition text January 2004
Dynamic Density Functional Theory of Fluids text January 1998