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

Baalrud, Scott D.; Daligault, Jérôme Olivier

doi:10.1063/1.5095655

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

Journal Article · 08 August 2019 · Physics of Plasmas

DOI: https://doi.org/10.1063/1.5095655 · OSTI ID:1565899

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Univ. of Iowa, Iowa City, IA (United States)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

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. Here, 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.

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Research Organization:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Univ. of Iowa, Iowa City, IA (United States)

Sponsoring Organization:: LDRD; USDOE Office of Science (SC), Fusion Energy Sciences (FES); USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: 89233218CNA000001; SC0016159

OSTI ID:: 1565899

Report Number(s):: LA-UR--19-22330

Journal Information:: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 8 Vol. 26; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited By (5)

A Generalized Boltzmann Kinetic Theory for Strongly Magnetized Plasmas with Application to Friction Jose, Louis; Baalrud, Scott D. arXiv https://doi.org/10.48550/arxiv.2008.06080	text	January 2020
Heat blanketing envelopes of neutron stars Beznogov, M. V.; Potekhin, A. Y.; Yakovlev, D. G. arXiv https://doi.org/10.48550/arxiv.2103.12422	text	January 2021
Exploring the crossover between high-energy-density plasma and ultracold neutral plasma physics Bergeson, Scott D.; Baalrud, Scott D.; Ellison, C. Leland Physics of Plasmas, Vol. 26, Issue 10 https://doi.org/10.1063/1.5119144	journal	October 2019
Testing thermal conductivity models with equilibrium molecular dynamics simulations of the one-component plasma Scheiner, Brett; Baalrud, Scott D. Physical Review E, Vol. 100, Issue 4 https://doi.org/10.1103/physreve.100.043206	journal	October 2019
Correlations between conduction electrons in dense plasmas Shaffer, Nathaniel R.; Starrett, Charles E. Physical Review E, Vol. 101, Issue 1 https://doi.org/10.1103/physreve.101.013208	journal	January 2020

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

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