Instability of nonlinear Trivelpiece-Gould waves. II. Weakly trapped particles
Abstract
This paper discusses a novel parametric instability mechanism caused by particles that are weakly trapped in the potential wells of a nonlinear “pump” wave. The pump wave is unstable to the growth of daughter waves with longer wavelength and nearly the same phase velocity as the pump. This induces adjacent potential peaks in the wave to slowly approach one-another, receding from other pairs of peaks. Particles that are weakly trapped between approaching peaks, with kinetic energies just below the potential maxima, are heated by compression and escape the well, and then become retrapped on the other side of the approaching peaks, where they amplify the compression by pushing the peaks together. The mechanism applies to low-collisionality plasmas supporting waves with near-acoustic dispersion relations such as ion sound waves, magnetized Langmuir waves, or Alfvén waves. The theory is compared to particle in cell simulations of Trivelpiece-Gould (TG) traveling waves, as well as to experiments on pure ion plasmas that observe parametric instability in TG standing waves.
- Authors:
-
- Univ. of California, San Diego, CA (United States)
- Publication Date:
- Research Org.:
- Univ. of California, San Diego, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1803319
- Alternate Identifier(s):
- OSTI ID: 1570529
- Grant/Contract Number:
- SC0018236
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physics of Plasmas
- Additional Journal Information:
- Journal Volume: 26; Journal Issue: 10; 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; Physics; Plasma waves; Kinetic theory; Particle distributions; Plasma temperature; Parametric down conversion; Wave mechanics; Particle-in-cell method; Adiabatic theorem
Citation Formats
Dubin, Daniel H. E. Instability of nonlinear Trivelpiece-Gould waves. II. Weakly trapped particles. United States: N. p., 2019.
Web. doi:10.1063/1.5116376.
Dubin, Daniel H. E. Instability of nonlinear Trivelpiece-Gould waves. II. Weakly trapped particles. United States. https://doi.org/10.1063/1.5116376
Dubin, Daniel H. E. Wed .
"Instability of nonlinear Trivelpiece-Gould waves. II. Weakly trapped particles". United States. https://doi.org/10.1063/1.5116376. https://www.osti.gov/servlets/purl/1803319.
@article{osti_1803319,
title = {Instability of nonlinear Trivelpiece-Gould waves. II. Weakly trapped particles},
author = {Dubin, Daniel H. E.},
abstractNote = {This paper discusses a novel parametric instability mechanism caused by particles that are weakly trapped in the potential wells of a nonlinear “pump” wave. The pump wave is unstable to the growth of daughter waves with longer wavelength and nearly the same phase velocity as the pump. This induces adjacent potential peaks in the wave to slowly approach one-another, receding from other pairs of peaks. Particles that are weakly trapped between approaching peaks, with kinetic energies just below the potential maxima, are heated by compression and escape the well, and then become retrapped on the other side of the approaching peaks, where they amplify the compression by pushing the peaks together. The mechanism applies to low-collisionality plasmas supporting waves with near-acoustic dispersion relations such as ion sound waves, magnetized Langmuir waves, or Alfvén waves. The theory is compared to particle in cell simulations of Trivelpiece-Gould (TG) traveling waves, as well as to experiments on pure ion plasmas that observe parametric instability in TG standing waves.},
doi = {10.1063/1.5116376},
journal = {Physics of Plasmas},
number = 10,
volume = 26,
place = {United States},
year = {Wed Oct 16 00:00:00 EDT 2019},
month = {Wed Oct 16 00:00:00 EDT 2019}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 4 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Negative-Mass Instability in Nonlinear Plasma Waves
journal, May 2013
- Dodin, I. Y.; Schmit, P. F.; Rocks, J.
- Physical Review Letters, Vol. 110, Issue 21
Space Charge Waves in Cylindrical Plasma Columns
journal, November 1959
- Trivelpiece, A. W.; Gould, R. W.
- Journal of Applied Physics, Vol. 30, Issue 11
Measurement of Landau Damping and the Evolution to a BGK Equilibrium
journal, June 2004
- Danielson, J. R.; Anderegg, F.; Driscoll, C. F.
- Physical Review Letters, Vol. 92, Issue 24
Trapped-Particle Asymmetry Modes in Single-Species Plasmas
journal, November 2001
- Kabantsev, A. A.; Driscoll, C. F.; Hilsabeck, T. J.
- Physical Review Letters, Vol. 87, Issue 22
Instability of nonlinear Trivelpiece-Gould waves I: Wave degeneracies
journal, October 2019
- Dubin, Daniel H. E.
- Physics of Plasmas, Vol. 26, Issue 10
Plasma Diffusion in a Toroidal Stellarator
journal, March 1969
- Galeev, A. A.; Sagdeev, R. Z.; Furth, H. P.
- Physical Review Letters, Vol. 22, Issue 11
Numerical simulations of BGK modes
journal, August 1991
- Demeio, Lucio; Holloway, James Paul
- Journal of Plasma Physics, Vol. 46, Issue 1
Enhanced superbanana transport caused by chaotic scattering across an asymmetric separatrix
journal, May 2012
- Dubin, Daniel H. E.; Kabantsev, A. A.; Driscoll, C. F.
- Physics of Plasmas, Vol. 19, Issue 5
Parametric Instability Driven by Weakly Trapped Particles in Nonlinear Plasma Waves
journal, July 2018
- Dubin, Daniel H. E.
- Physical Review Letters, Vol. 121, Issue 1
Experimental Investigation of Electron-Acoustic Waves in Electron Plasmas
conference, January 2006
- Kabantsev, Andrey A.; Valentini, F.; Driscoll, C. Fred
- NON-NEUTRAL PLASMA PHYSICS VI: Workshop on Non-Neutral Plasmas 2006, AIP Conference Proceedings
Trapped Particle Effects in the Parametric Instability of Near-Acoustic Plasma Waves
journal, December 2018
- Affolter, M.; Anderegg, F.; Dubin, D. H. E.
- Physical Review Letters, Vol. 121, Issue 23
Dispersion of Electron Plasma Waves
journal, July 1966
- Malmberg, J. H.; Wharton, C. B.
- Physical Review Letters, Vol. 17, Issue 4
Computing spectra of linear operators using the Floquet–Fourier–Hill method
journal, November 2006
- Deconinck, Bernard; Nathan Kutz, J.
- Journal of Computational Physics, Vol. 219, Issue 1
Superbanana transport in the collisional heating of a plasma column forced across a squeeze potential
journal, November 2017
- Dubin, Daniel H. E.
- Physics of Plasmas, Vol. 24, Issue 11
Experimental realization of nearly steady-state toroidal electron plasmas
journal, May 2009
- Stoneking, M. R.; Marler, J. P.; Ha, B. N.
- Physics of Plasmas, Vol. 16, Issue 5
Transition of the Dispersion Roots from Beam-Type to Landau-Type Solutions
journal, January 1968
- O'Neil, T. M.
- Physics of Fluids, Vol. 11, Issue 8
Nonlinear Effects of Large-Amplitude Plasma Waves
journal, January 1968
- Wharton, C. B.
- Physics of Fluids, Vol. 11, Issue 8
Nonlinear Trivelpiece-Gould waves: Frequency, functional form, and stability
journal, October 2015
- Dubin, D. H. E.; Ashourvan, A.
- Physics of Plasmas, Vol. 22, Issue 10
Nonlinear Development of an Electron Plasma Wave in a Cylindrical Waveguide
journal, January 1969
- Manheimer, Wallace M.
- Physics of Fluids, Vol. 12, Issue 11
Nonlinear Amplification and Decay of Phase-Mixed Waves in Compressing Plasma
journal, January 2013
- Schmit, P. F.; Dodin, I. Y.; Rocks, J.
- Physical Review Letters, Vol. 110, Issue 5
Neoclassical Transport Caused by Collisionless Scattering across an Asymmetric Separatrix
journal, October 2010
- Dubin, Daniel H. E.; Driscoll, C. F.; Tsidulko, Yu. A.
- Physical Review Letters, Vol. 105, Issue 18
Trapped-Particle Instability
journal, October 1969
- Kruer, W. L.; Dawson, J. M.; Sudan, R. N.
- Physical Review Letters, Vol. 23, Issue 15
The decay instability of Langmuir waves in the non-neutral electron plasma column
journal, November 1997
- Higaki, Hiroyuki
- Plasma Physics and Controlled Fusion, Vol. 39, Issue 11
Stability regions of dissipative trapped-ion instability
journal, January 1972
- Rosenbluth, M. N.; Ross, D. W.; Kostomarov, D. P.
- Nuclear Fusion, Vol. 12, Issue 1
Exact Nonlinear Plasma Oscillations
journal, November 1957
- Bernstein, Ira B.; Greene, John M.; Kruskal, Martin D.
- Physical Review, Vol. 108, Issue 3
Excitation of nonlinear electron acoustic waves
journal, May 2006
- Valentini, Francesco; O’Neil, Thomas M.; Dubin, Daniel H. E.
- Physics of Plasmas, Vol. 13, Issue 5
Transport optimization in stellarators
journal, May 2006
- Mynick, H. E.
- Physics of Plasmas, Vol. 13, Issue 5
Works referencing / citing this record:
Fluid and kinetic nonlinearities of near-acoustic plasma waves
journal, December 2019
- Affolter, M.; Anderegg, F.; Dubin, D. H. E.
- Physics of Plasmas, Vol. 26, Issue 12