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Title: Mean force kinetic theory: A convergent kinetic theory for weakly and strongly coupled plasmas

Abstract

A new closure of the BBGKY hierarchy is developed, which results in a convergent kinetic equation that provides a rigorous extension of plasma kinetic theory into the regime of strong Coulomb coupling. The approach is based on a single expansion parameter which enforces that the exact equilibrium limit is maintained at all orders. Because the expansion parameter does not explicitly depend on the range or the strength of the interaction potential, the resulting kinetic theory does not suffer from the typical divergences at short and long length scales encountered when applying the standard kinetic equations to Coulomb interactions. The approach demonstrates that particles effectively interact via the potential of mean force and that the range of this force determines the size of the collision volume. When applied to a plasma, the collision operator is shown to be related to the effective potential theory [S. D. Baalrud and J. Daligault, Phys. Rev. Lett. 110, 235001 (2013)]. In addition to the collision operator, this systematic derivation reveals a second term that is related to the excess (nonideal) components of the pressure and internal energy in the hydrodynamic limit. The relationship between this and previous kinetic theories is discussed.

Authors:
ORCiD logo [1]; ORCiD logo [2]
  1. Univ. of Iowa, Iowa City, IA (United States)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Univ. of Iowa, Iowa City, IA (United States)
Sponsoring Org.:
USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE Office of Science (SC), Fusion Energy Sciences (FES); USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1565899
Alternate Identifier(s):
OSTI ID: 1548581; OSTI ID: 1777875
Report Number(s):
LA-UR-19-22330
Journal ID: ISSN 1070-664X; TRN: US2000935
Grant/Contract Number:  
89233218CNA000001; SC0016159
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 26; Journal Issue: 8; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; Statistical thermodynamics; Particle distribution functions; Operator theory; Classical statistical mechanics; Kinetic theory; Plasma properties and parameters; Equations of state; Plasmas; Equilibrium thermodynamics; Nonequilibrium statistical mechanics

Citation Formats

Baalrud, Scott D., and Daligault, Jérôme Olivier. Mean force kinetic theory: A convergent kinetic theory for weakly and strongly coupled plasmas. United States: N. p., 2019. Web. doi:10.1063/1.5095655.
Baalrud, Scott D., & Daligault, Jérôme Olivier. Mean force kinetic theory: A convergent kinetic theory for weakly and strongly coupled plasmas. United States. https://doi.org/10.1063/1.5095655
Baalrud, Scott D., and Daligault, Jérôme Olivier. Thu . "Mean force kinetic theory: A convergent kinetic theory for weakly and strongly coupled plasmas". United States. https://doi.org/10.1063/1.5095655. https://www.osti.gov/servlets/purl/1565899.
@article{osti_1565899,
title = {Mean force kinetic theory: A convergent kinetic theory for weakly and strongly coupled plasmas},
author = {Baalrud, Scott D. and Daligault, Jérôme Olivier},
abstractNote = {A new closure of the BBGKY hierarchy is developed, which results in a convergent kinetic equation that provides a rigorous extension of plasma kinetic theory into the regime of strong Coulomb coupling. The approach is based on a single expansion parameter which enforces that the exact equilibrium limit is maintained at all orders. Because the expansion parameter does not explicitly depend on the range or the strength of the interaction potential, the resulting kinetic theory does not suffer from the typical divergences at short and long length scales encountered when applying the standard kinetic equations to Coulomb interactions. The approach demonstrates that particles effectively interact via the potential of mean force and that the range of this force determines the size of the collision volume. When applied to a plasma, the collision operator is shown to be related to the effective potential theory [S. D. Baalrud and J. Daligault, Phys. Rev. Lett. 110, 235001 (2013)]. In addition to the collision operator, this systematic derivation reveals a second term that is related to the excess (nonideal) components of the pressure and internal energy in the hydrodynamic limit. The relationship between this and previous kinetic theories is discussed.},
doi = {10.1063/1.5095655},
journal = {Physics of Plasmas},
number = 8,
volume = 26,
place = {United States},
year = {2019},
month = {8}
}

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Cited by: 7 works
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Works referencing / citing this record:

Exploring the crossover between high-energy-density plasma and ultracold neutral plasma physics
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  • Physics of Plasmas, Vol. 26, Issue 10
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Testing thermal conductivity models with equilibrium molecular dynamics simulations of the one-component plasma
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Correlations between conduction electrons in dense plasmas
journal, January 2020