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Title: Nonlinear evolution of two fast-particle-driven modes near the linear stability threshold

Abstract

A system of two coupled integro-differential equations is derived and solved for the non-linear evolution of two waves excited by the resonant interaction with fast ions just above the linear instability threshold. The effects of a resonant particle source and classical relaxation processes represented by the Krook, diffusion, and dynamical friction collision operators are included in the model, which exhibits different nonlinear evolution regimes, mainly depending on the type of relaxation process that restores the unstable distribution function of fast ions. When the Krook collisions or diffusion dominate, the wave amplitude evolution is characterized by modulation and saturation. However, when the dynamical friction dominates, the wave amplitude is in the explosive regime. In addition, it is found that the finite separation in the phase velocities of the two modes weakens the interaction strength between the modes.

Authors:
; ; ;  [1];  [1];  [2];  [3]
  1. West Pomeranian University of Technology, Szczecin (Poland)
  2. Chalmers University of Technology, Goeteborg (Sweden)
  3. Institute of Plasma Physics and Laser Microfusion, Warsaw (Poland)
Publication Date:
OSTI Identifier:
21546939
Resource Type:
Journal Article
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 18; Journal Issue: 6; Other Information: DOI: 10.1063/1.3601136; (c) 2011 American Institute of Physics; Journal ID: ISSN 1070-664X
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; AMPLITUDES; DISTRIBUTION FUNCTIONS; EVOLUTION; INTEGRO-DIFFERENTIAL EQUATIONS; IONS; NONLINEAR PROBLEMS; PLASMA; PLASMA INSTABILITY; PLASMA SIMULATION; PLASMA WAVES; RELAXATION; CHARGED PARTICLES; EQUATIONS; FUNCTIONS; INSTABILITY; SIMULATION

Citation Formats

Zalesny, Jaroslaw, Marczynski, Slawomir, Berczynski, Pawel, Berczynski, Stefan, Galant, Grzegorz, Chalmers University of Technology, Goeteborg, Lisak, Mietek, and Galkowski, Andrzej. Nonlinear evolution of two fast-particle-driven modes near the linear stability threshold. United States: N. p., 2011. Web. doi:10.1063/1.3601136.
Zalesny, Jaroslaw, Marczynski, Slawomir, Berczynski, Pawel, Berczynski, Stefan, Galant, Grzegorz, Chalmers University of Technology, Goeteborg, Lisak, Mietek, & Galkowski, Andrzej. Nonlinear evolution of two fast-particle-driven modes near the linear stability threshold. United States. https://doi.org/10.1063/1.3601136
Zalesny, Jaroslaw, Marczynski, Slawomir, Berczynski, Pawel, Berczynski, Stefan, Galant, Grzegorz, Chalmers University of Technology, Goeteborg, Lisak, Mietek, and Galkowski, Andrzej. 2011. "Nonlinear evolution of two fast-particle-driven modes near the linear stability threshold". United States. https://doi.org/10.1063/1.3601136.
@article{osti_21546939,
title = {Nonlinear evolution of two fast-particle-driven modes near the linear stability threshold},
author = {Zalesny, Jaroslaw and Marczynski, Slawomir and Berczynski, Pawel and Berczynski, Stefan and Galant, Grzegorz and Chalmers University of Technology, Goeteborg and Lisak, Mietek and Galkowski, Andrzej},
abstractNote = {A system of two coupled integro-differential equations is derived and solved for the non-linear evolution of two waves excited by the resonant interaction with fast ions just above the linear instability threshold. The effects of a resonant particle source and classical relaxation processes represented by the Krook, diffusion, and dynamical friction collision operators are included in the model, which exhibits different nonlinear evolution regimes, mainly depending on the type of relaxation process that restores the unstable distribution function of fast ions. When the Krook collisions or diffusion dominate, the wave amplitude evolution is characterized by modulation and saturation. However, when the dynamical friction dominates, the wave amplitude is in the explosive regime. In addition, it is found that the finite separation in the phase velocities of the two modes weakens the interaction strength between the modes.},
doi = {10.1063/1.3601136},
url = {https://www.osti.gov/biblio/21546939}, journal = {Physics of Plasmas},
issn = {1070-664X},
number = 6,
volume = 18,
place = {United States},
year = {Wed Jun 15 00:00:00 EDT 2011},
month = {Wed Jun 15 00:00:00 EDT 2011}
}