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Title: Linear theory of electron-plasma waves at arbitrary collisionality

Abstract

We report the dynamics of electron-plasma waves is described at arbitrary collisionality by considering the full Coulomb collision operator. The description is based on a Hermite–Laguerre decomposition of the velocity dependence of the electron distribution function. The damping rate, frequency and eigenmode spectrum of electron-plasma waves are found as functions of the collision frequency and wavelength. A comparison is made between the collisionless Landau damping limit, the Lenard–Bernstein and Dougherty collision operators and the electron–ion collision operator, finding large deviations in the damping rates and eigenmode spectra. A purely damped entropy mode, characteristic of a plasma where pitch-angle scattering effects are dominant with respect to collisionless effects, is shown to emerge numerically, and its dispersion relation is analytically derived. It is shown that such a mode is absent when simplified collision operators are used, and that like-particle collisions strongly influence the damping rate of the entropy mode.

Authors:
ORCiD logo [1];  [2];  [2];  [3];  [2]; ORCiD logo [4];  [2];  [5]
  1. Ecole Polytechnique Federale Lausanne (EPFL) (Switzerland); University of Lisbon (Portugal)
  2. Ecole Polytechnique Federale Lausanne (EPFL) (Switzerland)
  3. Ecole Polytechnique Federale Lausanne (EPFL) (Switzerland); Politecnico di Milano (Italy)
  4. Massachusetts Institute of Technology (MIT), Cambridge, MA (United States). Plasma Science and Fusion Center
  5. University of Lisbon (Portugal)
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Fusion Energy Sciences (FES); Swiss National Science Foundation (SNSF); Euratom Research and Training Programme; Portuguese Fundação para a Ciência e Tecnologia
OSTI Identifier:
1610181
Grant/Contract Number:  
FG02-91ER54109; 633053; PD/BD/105979/2014; PD/00505/2012
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of Plasma Physics
Additional Journal Information:
Journal Volume: 85; Journal Issue: 2; Journal ID: ISSN 0022-3778
Publisher:
Cambridge University Press
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; plasma waves

Citation Formats

Jorge, R., Ricci, P., Brunner, S., Gamba, S., Konovets, V., Loureiro, N. F., Perrone, L. M., and Teixeira, N. Linear theory of electron-plasma waves at arbitrary collisionality. United States: N. p., 2019. Web. doi:10.1017/s0022377819000266.
Jorge, R., Ricci, P., Brunner, S., Gamba, S., Konovets, V., Loureiro, N. F., Perrone, L. M., & Teixeira, N. Linear theory of electron-plasma waves at arbitrary collisionality. United States. https://doi.org/10.1017/s0022377819000266
Jorge, R., Ricci, P., Brunner, S., Gamba, S., Konovets, V., Loureiro, N. F., Perrone, L. M., and Teixeira, N. 2019. "Linear theory of electron-plasma waves at arbitrary collisionality". United States. https://doi.org/10.1017/s0022377819000266. https://www.osti.gov/servlets/purl/1610181.
@article{osti_1610181,
title = {Linear theory of electron-plasma waves at arbitrary collisionality},
author = {Jorge, R. and Ricci, P. and Brunner, S. and Gamba, S. and Konovets, V. and Loureiro, N. F. and Perrone, L. M. and Teixeira, N.},
abstractNote = {We report the dynamics of electron-plasma waves is described at arbitrary collisionality by considering the full Coulomb collision operator. The description is based on a Hermite–Laguerre decomposition of the velocity dependence of the electron distribution function. The damping rate, frequency and eigenmode spectrum of electron-plasma waves are found as functions of the collision frequency and wavelength. A comparison is made between the collisionless Landau damping limit, the Lenard–Bernstein and Dougherty collision operators and the electron–ion collision operator, finding large deviations in the damping rates and eigenmode spectra. A purely damped entropy mode, characteristic of a plasma where pitch-angle scattering effects are dominant with respect to collisionless effects, is shown to emerge numerically, and its dispersion relation is analytically derived. It is shown that such a mode is absent when simplified collision operators are used, and that like-particle collisions strongly influence the damping rate of the entropy mode.},
doi = {10.1017/s0022377819000266},
url = {https://www.osti.gov/biblio/1610181}, journal = {Journal of Plasma Physics},
issn = {0022-3778},
number = 2,
volume = 85,
place = {United States},
year = {Mon Apr 08 00:00:00 EDT 2019},
month = {Mon Apr 08 00:00:00 EDT 2019}
}

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Works referenced in this record:

Collisional losses of ring current ions
journal, January 1996


Triplet Correlation for a Plasma
journal, January 1965


Eigenvalue solution for the ion‐collisional effects on ion‐acoustic and entropy waves
journal, May 1993


Saturation of Gyrokinetic Turbulence through Damped Eigenmodes
journal, March 2011


Effect of electron collisions on ion‐acoustic waves and heat flow
journal, January 1994


Damping of ion-acoustic waves in the presence of electron-ion collisions
journal, September 1992


Model Fokker-Planck Equation for a Plasma and Its Solution
journal, January 1964


Solving 0 = F(t, y(t), y′(t)) in Matlab
journal, January 2002


New velocity-space discretization for continuum kinetic calculations and Fokker–Planck collisions
journal, June 2013


Evidence and concepts for non-local transport
journal, December 1997


Exact linearized Coulomb collision operator in the moment expansion
journal, October 2006


Krook collisional models of the kinetic susceptibility of plasmas
journal, July 2002


Theory of Plasma Oscillations. A. Origin of Medium-Like Behavior
journal, June 1949


Dispersion of Electron Plasma Waves
journal, July 1966


A drift-kinetic analytical model for scrape-off layer plasma dynamics at arbitrary collisionality
journal, November 2017


On Landau Damping
journal, January 1961


Nonlinear Frequency Shift of an Electron Plasma Wave
journal, February 1972


Viriato : A Fourier–Hermite spectral code for strongly magnetized fluid–kinetic plasma dynamics
journal, September 2016


New Closures for More Precise Modeling of Landau Damping in the Fluid Framework
journal, September 2018


Full- f version of GENE for turbulence in open-field-line systems
journal, June 2018


A 5D gyrokinetic full- f global semi-Lagrangian code for flux-driven ion turbulence simulations
journal, October 2016


On Landau damping
journal, January 2011


Developments in the gyrofluid approach to Tokamak turbulence simulations
journal, August 1993


Reduced fluid-kinetic equations for low-frequency dynamics, magnetic reconnection, and electron heating in low-beta plasmas
journal, October 2011


Ion-collisional effects on ion-acoustic waves: an eigenvalue technique via moment expansion
journal, March 2000


Fluid moment models for Landau damping with application to the ion-temperature-gradient instability
journal, June 1990


Principles of Plasma Discharges and Materials Processing
book, January 2005


Asymptotic Development of the Stirling Numbers of the First Kind
journal, April 1958


Efficient Computation of the Complex Error Function
journal, March 1970


Longitudinal plasma oscillations
journal, January 1960


Gyrokinetic continuum simulation of turbulence in a straight open-field-line plasma
journal, May 2017


Kinetic microtearing modes and reconnecting modes in strongly magnetised slab plasmas
journal, April 2015


Phase mixing versus nonlinear advection in drift-kinetic plasma turbulence
journal, April 2016


Tokamak edge turbulence: background theory and computation
journal, June 2007


Theory of the Drift-Wave Instability at Arbitrary Collisionality
journal, October 2018


Fluid models of phase mixing, Landau damping, and nonlinear gyrokinetic dynamics
journal, March 1992


Linear signatures in nonlinear gyrokinetics: interpreting turbulence with pseudospectra
journal, July 2016


Vlasov simulations of electron-ion collision effects on damping of electron plasma waves
journal, March 2016


The physics basis for ignition using indirect-drive targets on the National Ignition Facility
journal, February 2004


Role of stable eigenmodes in saturated local plasma turbulence
journal, February 2006


Kinetic calculation of neoclassical transport including self-consistent electron and impurity dynamics
journal, July 2008


Trapped-Particle Instability Leading to Bursting in Stimulated Raman Scattering Simulations
journal, September 2004


Plasma Oscillations with Diffusion in Velocity Space
journal, December 1958


Complete Spectrum of Kinetic Eigenmodes for Plasma Oscillations in a Weakly Collisional Plasma
journal, February 2004


Laguerre–Hermite pseudo-spectral velocity formulation of gyrokinetics
journal, January 2018


Kinetic Simulations of the Self-Focusing and Dissipation of Finite-Width Electron Plasma Waves
journal, September 2013


Kinetic Eigenmodes and Discrete Spectrum of Plasma Oscillations in a Weakly Collisional Plasma
journal, September 1999


Aspects of linear Landau damping in discretized systems
journal, February 2013


On Landau damping
text, January 2009


Phase mixing vs. nonlinear advection in drift-kinetic plasma turbulence
text, January 2015


Reduced fluid-kinetic equations for low-frequency dynamics, magnetic reconnection, and electron heating in low-beta plasmas
journal, October 2011


Aspects of linear Landau damping in discretized systems
journal, February 2013


Kinetic microtearing modes and reconnecting modes in strongly magnetised slab plasmas
journal, April 2015


Electrostatic Response of a Two-Component Plasma with Coulomb Collisions
journal, May 2012


Stirling numbers of the second kind
journal, March 1958


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