Collisional damping rates for electron plasma waves reassessed

Banks, J. W.; Brunner, S.; Berger, R. L.; Arrighi, W. J.; Tran, T. M.

doi:10.1103/PhysRevE.96.043208

Title: Collisional damping rates for electron plasma waves reassessed

Journal Article · Fri Oct 13 00:00:00 EDT 2017 · Physical Review E

DOI:https://doi.org/10.1103/PhysRevE.96.043208· OSTI ID:1409933

Banks, J. W. ^[1]; Brunner, S. ^[2]; Berger, R. L. ^[3]; Arrighi, W. J. ^[3]; Tran, T. M. ^[2]

Rensselaer Polytechnic Institute, Troy, NY (United States). Department of Mathematical Sciences
Ecole Polytechnique Federale de Lausanne (EPFL), Swiss Plasma Center (SPC), Lausanne (Switzerland)
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Collisional damping of electron plasma waves, the primary damping for high phase velocity waves, is proportional to the electron-ion collision rate, ν_ei,th. Here in this work, it is shown that the damping rate normalized to ν_ei,th depends on the charge state, Z, on the magnitude of ν_ei,th and the wave number k in contrast with the commonly used damping rate in plasma wave research. Only for weak collision rates in low-Z plasmas for which the electron self-collision rate is comparable to the electron-ion collision rate is the damping rate given by the commonly accepted value. The result presented here corrects the result presented in textbooks at least as early as 1973. Lastly, the complete linear theory requires the inclusion of both electron-ion pitch-angle and electron-electron scattering, which itself contains contributions to both pitch-angle scattering and thermalization.

View Accepted Manuscript (DOE)

View Accepted Manuscript (Publisher)

Cite

Export

Save

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

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-07NA27344; 12-ERD-061; 15-ERD-038

OSTI ID:: 1409933

Alternate ID(s):: OSTI ID: 1399290

Report Number(s):: LLNL-JRNL-703319; TRN: US1703321

Journal Information:: Physical Review E, Vol. 96, Issue 4; ISSN 2470-0045

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 6 works

Citation information provided by
Web of Science

References (27)

Electrostatic Response of a Two-Component Plasma with Coulomb Collisions Brantov, A. V.; Bychenkov, V. Yu.; Rozmus, W. Physical Review Letters, Vol. 108, Issue 20 https://doi.org/10.1103/PhysRevLett.108.205001	journal	May 2012
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
Gyrokinetic particle simulation of neoclassical transport Lin, Z.; Tang, W. M.; Lee, W. W. Physics of Plasmas, Vol. 2, Issue 8 https://doi.org/10.1063/1.871196	journal	August 1995
Operating regime for a backward Raman laser amplifier in preformed plasma Clark, Daniel S.; Fisch, Nathaniel J. Physics of Plasmas, Vol. 10, Issue 8 https://doi.org/10.1063/1.1590667	journal	August 2003
Two-plasmon-decay instability in direct-drive inertial confinement fusion experiments Seka, W.; Edgell, D. H.; Myatt, J. F. Physics of Plasmas, Vol. 16, Issue 5 https://doi.org/10.1063/1.3125242	journal	May 2009
Unlike-particle collision operator for gyrokinetic particle simulations Kolesnikov, R. A.; Wang, W. X.; Hinton, F. L. Journal of Computational Physics, Vol. 229, Issue 15 https://doi.org/10.1016/j.jcp.2010.04.018	journal	August 2010
The dynamics of hot-electron heating in direct-drive-implosion experiments caused by two-plasmon-decay instability Myatt, J. F.; Zhang, J.; Delettrez, J. A. Physics of Plasmas, Vol. 19, Issue 2 https://doi.org/10.1063/1.3683004	journal	February 2012
Collisional Damping of a Plasma Echo Su, C. H.; Oberman, C. Physical Review Letters, Vol. 20, Issue 9 https://doi.org/10.1103/PhysRevLett.20.427	journal	February 1968
Coulomb collision effects on linear Landau damping Callen, J. D. Physics of Plasmas, Vol. 21, Issue 5 https://doi.org/10.1063/1.4875726	journal	May 2014
Observation of the Langmuir decay instability driven by stimulated Raman scattering Baker, K. L.; Drake, R. P.; Bauer, B. S. Physics of Plasmas, Vol. 4, Issue 8 https://doi.org/10.1063/1.872436	journal	August 1997
Fokker-Planck Equation for an Inverse-Square Force Rosenbluth, Marshall N.; MacDonald, William M.; Judd, David L. Physical Review, Vol. 107, Issue 1 https://doi.org/10.1103/PhysRev.107.1	journal	July 1957
Dielectric functions for the Vlasov-Landau equation Bendib, A. Physical Review E, Vol. 47, Issue 5 https://doi.org/10.1103/PhysRevE.47.3598	journal	May 1993
Kinetic Susceptibility and Transport Theory of Collisional Plasmas Brantov, A. V.; Bychenkov, V. Yu.; Rozmus, W. Physical Review Letters, Vol. 93, Issue 12 https://doi.org/10.1103/PhysRevLett.93.125002	journal	September 2004
Vlasov simulations of electron-ion collision effects on damping of electron plasma waves Banks, J. W.; Brunner, S.; Berger, R. L. Physics of Plasmas, Vol. 23, Issue 3 https://doi.org/10.1063/1.4943194	journal	March 2016
Laser Scattering Measurements of Thermal Ion-Acoustic Fluctuations in Collisional Plasmas Mostovych, Andrew N.; DeSilva, Alan W. Physical Review Letters, Vol. 53, Issue 16 https://doi.org/10.1103/PhysRevLett.53.1563	journal	October 1984
Direct-drive inertial confinement fusion: A review Craxton, R. S.; Anderson, K. S.; Boehly, T. R. Physics of Plasmas, Vol. 22, Issue 11 https://doi.org/10.1063/1.4934714	journal	November 2015
The National Ignition Facility Hogan, W. J.; Moses, E. I.; Warner, B. E. Nuclear Fusion, Vol. 41, Issue 5 https://doi.org/10.1088/0029-5515/41/5/309	journal	May 2001
Collisional damping of Langmuir waves in the collisionless limit Auerbach, S. P. Physics of Fluids, Vol. 20, Issue 11 https://doi.org/10.1063/1.861801	journal	January 1977
Two-dimensional Vlasov simulation of electron plasma wave trapping, wavefront bowing, self-focusing, and sideloss Banks, J. W.; Berger, R. L.; Brunner, S. Physics of Plasmas, Vol. 18, Issue 5 https://doi.org/10.1063/1.3577784	journal	May 2011
Fast Compression of Laser Beams to Highly Overcritical Powers Malkin, V. M.; Shvets, G.; Fisch, N. J. Physical Review Letters, Vol. 82, Issue 22 https://doi.org/10.1103/PhysRevLett.82.4448	journal	May 1999
On the singularity of the Vlasov-Poisson system Zheng, Jian; Qin, Hong Physics of Plasmas, Vol. 20, Issue 9 https://doi.org/10.1063/1.4821831	journal	September 2013
Effect of Ion-Wave Damping on Stimulated Raman Scattering in High- $Z$ Laser-Produced Plasmas Kirkwood, R. K.; MacGowan, B. J.; Montgomery, D. S. Physical Review Letters, Vol. 77, Issue 13 https://doi.org/10.1103/PhysRevLett.77.2706	journal	September 1996
Two-Plasmon Decay Mitigation in Direct-Drive Inertial-Confinement-Fusion Experiments Using Multilayer Targets Follett, R. K.; Delettrez, J. A.; Edgell, D. H. Physical Review Letters, Vol. 116, Issue 15 https://doi.org/10.1103/PhysRevLett.116.155002	journal	April 2016
Electron and ion kinetic effects on non-linearly driven electron plasma and ion acoustic waves Berger, R. L.; Brunner, S.; Chapman, T. Physics of Plasmas, Vol. 20, Issue 3 https://doi.org/10.1063/1.4794346	journal	March 2013
Plasma Oscillations with Diffusion in Velocity Space Lenard, A.; Bernstein, Ira B. Physical Review, Vol. 112, Issue 5 https://doi.org/10.1103/PhysRev.112.1456	journal	December 1958
Collisional delta- f scheme with evolving background for transport time scale simulations Brunner, S.; Valeo, E.; Krommes, J. A. Physics of Plasmas, Vol. 6, Issue 12 https://doi.org/10.1063/1.873738	journal	December 1999
A New Class of Nonlinear Finite-Volume Methods for Vlasov Simulation Banks, Jeffrey William; Hittinger, Jeffrey Alan Furst IEEE Transactions on Plasma Science, Vol. 38, Issue 9 https://doi.org/10.1109/TPS.2010.2056937	journal	September 2010

Cited By (2)

Spatial propagation and damping of ordinary electromagnetic mode Khokhar, Tajammal H.; Yoon, P. H.; López, R. A. Physics of Plasmas, Vol. 25, Issue 8 https://doi.org/10.1063/1.5043356	journal	August 2018
Theory of the Drift-Wave Instability at Arbitrary Collisionality Jorge, R.; Ricci, P.; Loureiro, N. F. arXiv https://doi.org/10.48550/arxiv.1806.10538	text	January 2018

Similar Records

Vlasov simulations of electron-ion collision effects on damping of electron plasma waves

Journal Article · Wed Mar 09 00:00:00 EST 2016 · Physics of Plasmas · OSTI ID:1409933

Banks, J. W.; Brunner, S.; Berger, R. L.; +1 more

The Frequency and Damping of Ion Acoustic Waves in Collisional and Collisionless Two-species Plasma

Technical Report · Wed Aug 18 00:00:00 EDT 2004 · OSTI ID:1409933

Berger, R L; Valeo, E J

The frequency and damping of ion acoustic waves in collisional and collisionless two-species plasma

Journal Article · Thu Jul 15 00:00:00 EDT 2004 · Physics of Plasmas · OSTI ID:1409933

Berger, R L; Valeo, E J

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS

Title: Collisional damping rates for electron plasma waves reassessed

Citation Formats

References (27)

Cited By (2)

Similar Records

Related Subjects