Collisional resonance function in discrete-resonance quasilinear plasma systems
Abstract
In this paper, a method is developed to analytically determine the resonance broadening function in quasilinear theory from first principles, due to either Krook or Fokker-Planck scattering collisions of marginally unstable plasma systems where discrete resonance instabilities are excited without any mode overlap. It is demonstrated that a quasilinear system that employs the calculated broadening functions reported here systematically recovers the growth rate and mode saturation levels for near-threshold plasmas previously calculated from nonlinear kinetic theory. The distribution function is also calculated, which enables precise determination of the characteristic collisional resonance width.
- Authors:
-
[1];
[1];
[1];
- Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
- Univ. of Texas, Austin, TX (United States)
- Publication Date:
- Research Org.:
- Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1580577
- Alternate Identifier(s):
- OSTI ID: 1576864
- Grant/Contract Number:
- AC02-09CH11466
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physics of Plasmas
- Additional Journal Information:
- Journal Volume: 26; Journal Issue: 12; 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
Citation Formats
Duarte, V. N., Gorelenkov, N. N., White, R. B., and Berk, H. L. Collisional resonance function in discrete-resonance quasilinear plasma systems. United States: N. p., 2019.
Web. doi:10.1063/1.5129260.
Duarte, V. N., Gorelenkov, N. N., White, R. B., & Berk, H. L. Collisional resonance function in discrete-resonance quasilinear plasma systems. United States. https://doi.org/10.1063/1.5129260
Duarte, V. N., Gorelenkov, N. N., White, R. B., and Berk, H. L. Tue .
"Collisional resonance function in discrete-resonance quasilinear plasma systems". United States. https://doi.org/10.1063/1.5129260. https://www.osti.gov/servlets/purl/1580577.
@article{osti_1580577,
title = {Collisional resonance function in discrete-resonance quasilinear plasma systems},
author = {Duarte, V. N. and Gorelenkov, N. N. and White, R. B. and Berk, H. L.},
abstractNote = {In this paper, a method is developed to analytically determine the resonance broadening function in quasilinear theory from first principles, due to either Krook or Fokker-Planck scattering collisions of marginally unstable plasma systems where discrete resonance instabilities are excited without any mode overlap. It is demonstrated that a quasilinear system that employs the calculated broadening functions reported here systematically recovers the growth rate and mode saturation levels for near-threshold plasmas previously calculated from nonlinear kinetic theory. The distribution function is also calculated, which enables precise determination of the characteristic collisional resonance width.},
doi = {10.1063/1.5129260},
journal = {Physics of Plasmas},
number = 12,
volume = 26,
place = {United States},
year = {2019},
month = {12}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
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:
Stability of Plasma
journal, February 1961
- Vedenov, A. A.; Velikhov, E. P.; Sagdeev, Roal'd Z.
- Soviet Physics Uspekhi, Vol. 4, Issue 2
Resonance broadening due to particle scattering and mode coupling in the quasi-linear relaxation of electron beams
journal, June 2014
- Bian, Nicolas H.; Kontar, Eduard P.; Ratcliffe, Heather
- Journal of Geophysical Research: Space Physics, Vol. 119, Issue 6
Prediction of nonlinear evolution character of energetic-particle-driven instabilities
journal, March 2017
- Duarte, V. N.; Berk, H. L.; Gorelenkov, N. N.
- Nuclear Fusion, Vol. 57, Issue 5
Verification and application of resonance broadened quasi-linear (RBQ) model with multiple Alfvénic instabilities
journal, July 2019
- Gorelenkov, N. N.; Duarte, V. N.; Collins, C. S.
- Physics of Plasmas, Vol. 26, Issue 7
Line broadened quasi-linear burst model [fusion plasma]
journal, December 1995
- Berk, H. L.; Breizman, B. N.; Fitzpatrick, J.
- Nuclear Fusion, Vol. 35, Issue 12
On the Shape of Collision-Broadened Lines
journal, April 1945
- Van Vleck, J. H.; Weisskopf, V. F.
- Reviews of Modern Physics, Vol. 17, Issue 2-3
Collisional enhancement of energetic particle Alfvénic resonance width in tokamaks
journal, March 2019
- White, R. B.; Duarte, V. N.; Gorelenkov, N. N.
- Physics of Plasmas, Vol. 26, Issue 3
Nonlinear Splitting of Fast Particle Driven Waves in a Plasma: Observation and Theory
journal, December 1998
- Fasoli, A.; Breizman, B. N.; Borba, D.
- Physical Review Letters, Vol. 81, Issue 25
Nonlinear evolution of a single coherent mode in a turbulent plasma
journal, April 2014
- Mendonça, J. T.; Galvão, R. M. O.; Smolyakov, A. I.
- Plasma Physics and Controlled Fusion, Vol. 56, Issue 5
Nonlinear Dynamics of a Driven Mode near Marginal Stability
journal, February 1996
- Berk, H. L.; Breizman, B. N.; Pekker, M.
- Physical Review Letters, Vol. 76, Issue 8
Resonance processes in magnetic traps
journal, January 1960
- Chirikov, B. V.
- Journal of Nuclear Energy. Part C, Plasma Physics, Accelerators, Thermonuclear Research, Vol. 1, Issue 4
Time-dependent critical layers in shear flows on the beta-plane
journal, May 1984
- Hickernell, Fred J.
- Journal of Fluid Mechanics, Vol. 142
Observation of Critical-Gradient Behavior in Alfvén-Eigenmode-Induced Fast-Ion Transport
journal, February 2016
- Collins, C. S.; Heidbrink, W. W.; Austin, M. E.
- Physical Review Letters, Vol. 116, Issue 9
Critical nonlinear phenomena for kinetic instabilities near threshold
journal, May 1997
- Breizman, B. N.; Berk, H. L.; Pekker, M. S.
- Physics of Plasmas, Vol. 4, Issue 5
Quasilinear Diffusion of an Axisymmetric Toroidal Plasma
journal, January 1972
- Kaufman, Allan N.
- Physics of Fluids, Vol. 15, Issue 6
A Perturbation Theory for Strong Plasma Turbulence
journal, January 1966
- Dupree, T. H.
- Physics of Fluids, Vol. 9, Issue 9
Theory of the pressure broadening and shift of spectral lines
journal, June 1981
- Peach, G.
- Advances in Physics, Vol. 30, Issue 3
Coulomb collision effects on linear Landau damping
journal, May 2014
- Callen, J. D.
- Physics of Plasmas, Vol. 21, Issue 5
A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
journal, May 1954
- Bhatnagar, P. L.; Gross, E. P.; Krook, M.
- Physical Review, Vol. 94, Issue 3
Theory and observation of the onset of nonlinear structures due to eigenmode destabilization by fast ions in tokamaks
journal, December 2017
- Duarte, V. N.; Berk, H. L.; Gorelenkov, N. N.
- Physics of Plasmas, Vol. 24, Issue 12
Analytical nonlinear collisional dynamics of near-threshold eigenmodes
journal, February 2019
- Duarte, V. N.; Gorelenkov, N. N.
- Nuclear Fusion, Vol. 59, Issue 4
Fundamental statistical descriptions of plasma turbulence in magnetic fields
journal, April 2002
- Krommes, John A.
- Physics Reports, Vol. 360, Issue 1-4
Comparing the line broadened quasilinear model to Vlasov code
journal, March 2014
- Ghantous, K.; Berk, H. L.; Gorelenkov, N. N.
- Physics of Plasmas, Vol. 21, Issue 3
Resonance processes in magnetic traps
journal, December 1960
- Chirikov, B. V.
- The Soviet Journal of Atomic Energy, Vol. 6, Issue 6
Stability of Plasma [Устойчивость плазмы]
journal, January 1961
- Vedenov, A. A.; Velikhov, Evgenii P.; Sagdeev, Roal'd Z.
- Uspekhi Fizicheskih Nauk, Vol. 73, Issue 4
Resonance broadening due to particle scattering and mode-coupling in the quasi-linear relaxation of electron beams
text, January 2015
- Bian, Nicolas H.; Kontar, Eduard P.; Ratcliffe, Heather
- arXiv
Prediction of Nonlinear Evolution Character of Energetic-Particle-Driven Instabilities
text, January 2016
- Duarte, Vinicius; Berk, Herbert; Gorelenkov, Nikolai
- arXiv