Vlasov simulations of electron-ion collision effects on damping of electron plasma waves
Abstract
Collisional effects can play an essential role in the dynamics of plasma waves by setting a minimum damping rate and by interfering with wave-particle resonances. Kinetic simulations of the effects of electron-ion pitch angle scattering on Electron Plasma Waves (EPWs) are presented here. In particular, the effects of such collisions on the frequency and damping of small-amplitude EPWs for a range of collision rates and wave phase velocities are computed and compared with theory. Both the Vlasov simulations and linear kinetic theory find the direct contribution of electron-ion collisions to wave damping significantly reduced from that obtained through linearized fluid theory. To our knowledge, this simple result has not been published before. Simulations have been carried out using a grid-based (Vlasov) approach, based on a high-order conservative finite difference method for discretizing the Fokker-Planck equation describing the evolution of the electron distribution function. Details of the implementation of the collision operator within this framework are presented. Such a grid-based approach, which is not subject to numerical noise, is of particular interest for the accurate measurements of the wave damping rates.
- Authors:
-
- Rensselaer Polytechnic Inst., Troy, NY (United States)
- Ecole Polytechnique Federale Lausanne (Switzerland)
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Publication Date:
- Research Org.:
- Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program
- OSTI Identifier:
- 1829015
- Alternate Identifier(s):
- OSTI ID: 1349320
- Report Number(s):
- LLNL-JRNL-669228
Journal ID: ISSN 1070-664X; 790422; TRN: US2216343
- Grant/Contract Number:
- AC52-07NA27344; 12-ERD-061; 15-ERD-038
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physics of Plasmas
- Additional Journal Information:
- Journal Volume: 23; Journal Issue: 3; 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; Plasma waves; Maxwell-Boltzmann distribution; Equations of fluid dynamics; Operator theory; Stochastic processes; Vlasov equation; Cosmic rays; Entropy; Electrostatics; Wave mechanics
Citation Formats
Banks, J. W., Brunner, S., Berger, R. L., and Tran, T. M. Vlasov simulations of electron-ion collision effects on damping of electron plasma waves. United States: N. p., 2016.
Web. doi:10.1063/1.4943194.
Banks, J. W., Brunner, S., Berger, R. L., & Tran, T. M. Vlasov simulations of electron-ion collision effects on damping of electron plasma waves. United States. https://doi.org/10.1063/1.4943194
Banks, J. W., Brunner, S., Berger, R. L., and Tran, T. M. Wed .
"Vlasov simulations of electron-ion collision effects on damping of electron plasma waves". United States. https://doi.org/10.1063/1.4943194. https://www.osti.gov/servlets/purl/1829015.
@article{osti_1829015,
title = {Vlasov simulations of electron-ion collision effects on damping of electron plasma waves},
author = {Banks, J. W. and Brunner, S. and Berger, R. L. and Tran, T. M.},
abstractNote = {Collisional effects can play an essential role in the dynamics of plasma waves by setting a minimum damping rate and by interfering with wave-particle resonances. Kinetic simulations of the effects of electron-ion pitch angle scattering on Electron Plasma Waves (EPWs) are presented here. In particular, the effects of such collisions on the frequency and damping of small-amplitude EPWs for a range of collision rates and wave phase velocities are computed and compared with theory. Both the Vlasov simulations and linear kinetic theory find the direct contribution of electron-ion collisions to wave damping significantly reduced from that obtained through linearized fluid theory. To our knowledge, this simple result has not been published before. Simulations have been carried out using a grid-based (Vlasov) approach, based on a high-order conservative finite difference method for discretizing the Fokker-Planck equation describing the evolution of the electron distribution function. Details of the implementation of the collision operator within this framework are presented. Such a grid-based approach, which is not subject to numerical noise, is of particular interest for the accurate measurements of the wave damping rates.},
doi = {10.1063/1.4943194},
journal = {Physics of Plasmas},
number = 3,
volume = 23,
place = {United States},
year = {Wed Mar 09 00:00:00 EST 2016},
month = {Wed Mar 09 00:00:00 EST 2016}
}
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