Connecting Collisionless Landau Fluid Closures to Collisional Plasma Physics Models

Joseph, I.; Dimits, A. M.

doi:10.1002/ctpp.201610043

Title: Connecting Collisionless Landau Fluid Closures to Collisional Plasma Physics Models

Journal Article · Tue Jul 12 00:00:00 EDT 2016 · Contributions to Plasma Physics

DOI:https://doi.org/10.1002/ctpp.201610043· OSTI ID:1466946

Joseph, I. ^[1]; Dimits, A. M. ^[1]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

In this work, collisionless Landau fluid models are combined with collisional fluid models using a Padé approximation that is accurate in both collisionality limits. The collisionless models capture Landau damping through a nonlocal integro-differential sub-diffusion operator with ballistic characteristics. Collisional extensions of Landau fluid models are derived by analyzing the higher order moment equations which combine a Landau closure with collisional friction forces. The model derived here evolves fluid moments for density, parallel velocity, and anisotropic pressure and includes the frictional heat flux, the parallel thermal force and anisotropic electrical conductivity. Since anisotropies must vanish in the collisional limit, a simple closure can be derived if the friction force neglects pitch-angle scattering for the closure moments themselves. The resulting plasma physics model is potentially quite useful for applications in magnetic fusion and astrophysics.

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Research Organization:: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1466946

Report Number(s):: LLNL-JRNL-676833; 800091

Journal Information:: Contributions to Plasma Physics, Vol. 56, Issue 6-8; ISSN 0863-1042

Publisher:: WileyCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 9 works

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References (20)

Matrix elements of the linearized Fokker–Planck operator Wong, Seung Kai Physics of Fluids, Vol. 28, Issue 6 https://doi.org/10.1063/1.864962	journal	January 1985
Effect of magnetic field on temporal development of Rayleigh–Taylor instability induced interfacial nonlinear structure Gupta, M. R.; Mandal, Labakanta; Roy, Sourav Physics of Plasmas, Vol. 17, Issue 1 https://doi.org/10.1063/1.3293120	journal	January 2010
Three-dimensional global numerical simulation of ion temperature gradient mode turbulence Waltz, R. E. Physics of Fluids, Vol. 31, Issue 7 https://doi.org/10.1063/1.866643	journal	January 1988
Fluid moment models for Landau damping with application to the ion-temperature-gradient instability Hammett, Gregory W.; Perkins, Francis W. Physical Review Letters, Vol. 64, Issue 25 https://doi.org/10.1103/PhysRevLett.64.3019	journal	June 1990
Unified fluid/kinetic description of plasma microinstabilities. Part I: Basic equations in a sheared slab geometry Chang, Zuoyang; Callen, J. D. Physics of Fluids B: Plasma Physics, Vol. 4, Issue 5 https://doi.org/10.1063/1.860125	journal	May 1992
Large amplitude parallel propagating electromagnetic oscillitons Cattaert, Tom; Verheest, Frank Physics of Plasmas, Vol. 12, Issue 1 https://doi.org/10.1063/1.1824038	journal	January 2005
Gyro-fluid and two-fluid theory and simulations of edge-localized-modes Xu, X. Q.; Xi, P. W.; Dimits, A. Physics of Plasmas, Vol. 20, Issue 5 https://doi.org/10.1063/1.4801746	journal	May 2013
Damping of ion-acoustic waves in the presence of electron-ion collisions Epperlein, E. M.; Short, R. W.; Simon, A. Physical Review Letters, Vol. 69, Issue 12 https://doi.org/10.1103/PhysRevLett.69.1765	journal	September 1992
Gyrofluid turbulence models with kinetic effects Dorland, W.; Hammett, G. W. Physics of Fluids B: Plasma Physics, Vol. 5, Issue 3 https://doi.org/10.1063/1.860934	journal	March 1993
Electron parallel closures for arbitrary collisionality Ji, Jeong-Young; Held, Eric D. Physics of Plasmas, Vol. 21, Issue 12 https://doi.org/10.1063/1.4904906	journal	December 2014
A Landau fluid model for electromagnetic plasma microturbulence Snyder, P. B.; Hammett, G. W. Physics of Plasmas, Vol. 8, Issue 7 https://doi.org/10.1063/1.1374238	journal	July 2001
Kinetic theory of laser filamentation in plasmas Epperlein, Eduardo M. Physical Review Letters, Vol. 65, Issue 17 https://doi.org/10.1103/PhysRevLett.65.2145	journal	October 1990
Modeling of tokamak divertor plasma for weakly collisional parallel electron transport Umansky, M. V.; Dimits, A. M.; Joseph, I. Journal of Nuclear Materials, Vol. 463 https://doi.org/10.1016/j.jnucmat.2014.10.015	journal	August 2015
E×B shear flows and electromagnetic gyrofluid turbulence Scott, B. Physics of Plasmas, Vol. 7, Issue 5 https://doi.org/10.1063/1.874007	journal	May 2000
Nonlinear Theory of Ion Acoustic Waves with Landau Damping Ott, E. Physics of Fluids, Vol. 12, Issue 11 https://doi.org/10.1063/1.1692358	journal	January 1969
Nonlinear polarization and dissipative correspondence between low-frequency fluid and gyrofluid equations Scott, Bruce D. Physics of Plasmas, Vol. 14, Issue 10 https://doi.org/10.1063/1.2783993	journal	October 2007
Nonlocal Heat Transport Due to Steep Temperature Gradients Luciani, J. F.; Mora, P.; Virmont, J. Physical Review Letters, Vol. 51, Issue 18 https://doi.org/10.1103/PhysRevLett.51.1664	journal	October 1983
Landau fluid models of collisionless magnetohydrodynamics Snyder, P. B.; Hammett, G. W.; Dorland, W. Physics of Plasmas, Vol. 4, Issue 11 https://doi.org/10.1063/1.872517	journal	November 1997
Nonlocal Electron Heat Transport by Not Quite Maxwell-Boltzmann Distributions Albritton, J. R.; Williams, E. A.; Bernstein, I. B. Physical Review Letters, Vol. 57, Issue 15 https://doi.org/10.1103/PhysRevLett.57.1887	journal	October 1986
A fast non-Fourier method for Landau-fluid operators Dimits, A. M.; Joseph, I.; Umansky, M. V. Physics of Plasmas, Vol. 21, Issue 5 https://doi.org/10.1063/1.4876617	journal	May 2014

Cited By (5)

Linear theory of electron-plasma waves at arbitrary collisionality Jorge, R.; Ricci, P.; Brunner, S. Journal of Plasma Physics, Vol. 85, Issue 2 https://doi.org/10.1017/s0022377819000266	journal	April 2019
An introductory guide to fluid models with anisotropic temperatures. Part 2. Kinetic theory, Padé approximants and Landau fluid closures Hunana, P.; Tenerani, A.; Zank, G. P. Journal of Plasma Physics, Vol. 85, Issue 6 https://doi.org/10.1017/s0022377819000850	journal	December 2019
Testing nonlocal models of electron thermal conduction for magnetic and inertial confinement fusion applications Brodrick, J. P.; Kingham, R. J.; Marinak, M. M. Physics of Plasmas, Vol. 24, Issue 9 https://doi.org/10.1063/1.5001079	journal	September 2017
Electron parallel closures for the 3 + 1 fluid model Ji, Jeong-Young; Joseph, Ilon Physics of Plasmas, Vol. 25, Issue 3 https://doi.org/10.1063/1.5014996	journal	March 2018
Linear Theory of Electron-Plasma Waves at Arbitrary Collisionality Jorge, R.; Ricci, P.; Brunner, S. arXiv https://doi.org/10.48550/arxiv.1811.12855	text	January 2018

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