Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Shifting and Splitting of Resonance Lines due to Dynamical Friction in Plasmas

Journal Article · · Physical Review Letters
We report a quasilinear plasma transport theory that incorporates Fokker-Planck dynamical friction (drag) and pitch angle scattering is self-consistently derived from first principles for an isolated, marginally unstable mode resonating with an energetic minority species. It is found that drag fundamentally changes the structure of the wave-particle resonance, breaking its symmetry and leading to the shifting and splitting of resonance lines. In contrast, scattering broadens the resonance in a symmetric fashion. Comparison with fully nonlinear simulations shows that the proposed quasilinear system preserves the exact instability saturation amplitude and the corresponding particle redistribution of the fully nonlinear theory. Even in situations in which drag leads to a relatively small resonance shift, it still underpins major changes in the redistribution of resonant particles. This novel influence of drag is equally important in plasmas and gravitational systems. In fusion plasmas, the effects are especially pronounced for fast-ion-driven instabilities in tokamaks with low aspect ratio or negative triangularity, as evidenced by past observations. The same theory directly maps to the resonant dynamics of the rotating galactic bar and massive bodies in its orbit, providing new techniques for analyzing galactic dynamics.
Research Organization:
Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC02-09CH11466; FC02-04ER54698; SC0020337
OSTI ID:
1963012
Journal Information:
Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 10 Vol. 130; ISSN 0031-9007
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (49)

Dataset for the letter "Shifting and Splitting of Resonance Lines due to Dynamical Friction in Plasmas" Phys. Rev. Lett. 130, 105101 (2023) dataset January 2023
Resonance broadening due to particle scattering and mode coupling in the quasi-linear relaxation of electron beams journal June 2014
Weak turbulence in media with a decay spectrum journal July 1965
Energetic ion distribution resulting from neutral beam injection in tokamaks journal October 1976
A tutorial introduction to the statistical theory of turbulent plasmas, a half-century after Kadomtsev’s Plasma Turbulence and the resonance-broadening theory of Dupree and Weinstock journal September 2015
Effect of toroidal Alfvén eigenmodes on fast particle confinement in the spherical tokamak Globus-M journal October 2015
Collisional effects on resonant particles in quasilinear theory journal May 2020
Collisional broadening of nonlinear resonant wave–particle interactions journal November 2021
Secular diffusion in discrete self-gravitating tepid discs II. Accounting for swing amplification via the matrix method journal December 2015
Turbulent Diffusion, Particle Orbits, and Field Fluctuations in a Plasma in a Magnetic Field journal January 1968
Wave Growth in a Strongly Turbulent Plasma journal January 1972
Collisionless Damping of Nonlinear Plasma Oscillations journal January 1965
A Perturbation Theory for Strong Plasma Turbulence journal January 1966
Spectral gap of shear Alfvén waves in a periodic array of magnetic mirrors journal January 2008
Effect of dynamical friction on nonlinear energetic particle modes journal September 2010
Spectroscopic determination of kinetic parameters for frequency sweeping Alfvén eigenmodes journal December 2010
Nonlinear simulation of toroidal Alfvén eigenmode with microturbulence-induced radial diffusion journal May 2011
Coulomb collision effects on linear Landau damping journal May 2014
The upgraded Large Plasma Device, a machine for studying frontier basic plasma physics journal February 2016
Linear theory and measurements of electron oscillations in an inertial Alfvén wave journal March 2017
Theory and observation of the onset of nonlinear structures due to eigenmode destabilization by fast ions in tokamaks journal December 2017
Collisional enhancement of energetic particle Alfvénic resonance width in tokamaks journal March 2019
Collisional resonance function in discrete-resonance quasilinear plasma systems journal December 2019
Resonance broadening theory of plasma turbulence journal February 1992
Exact resonance broadening theory of diffusion in random electric fields journal January 1988
Analytic quasi-steady evolution of marginally unstable kinetic plasma instabilities in the presence of drag and scattering journal June 2021
Line broadened quasi-linear burst model [fusion plasma] journal December 1995
Perturbative and non-perturbative modes in START and MAST journal September 2006
Confinement and local transport in the National Spherical Torus Experiment (NSTX) journal June 2007
Study of chirping toroidicity-induced Alfvén eigenmodes in the National Spherical Torus Experiment journal September 2012
Landau damping: half a century with the great discovery journal January 1999
Measurements of interactions between waves and energetic ions in basic plasma experiments journal November 2012
A reduced fast ion transport model for the tokamak transport code TRANSP journal April 2014
Energetic particles in spherical tokamak plasmas journal March 2017
Prediction of nonlinear evolution character of energetic-particle-driven instabilities journal March 2017
Study of the likelihood of Alfvénic mode bifurcation in NSTX and predictions for ITER baseline scenarios journal June 2018
Resonance broadened quasi-linear (RBQ) model for fast ion distribution relaxation due to Alfvénic eigenmodes journal June 2018
On non-linear frequency chirping in connection with collisions journal February 2019
Analytical nonlinear collisional dynamics of near-threshold eigenmodes journal February 2019
Alfvén eigenmodes and fast ion transport in negative triangularity DIII-D plasmas journal June 2019
The Stability and Vibrations of a Gas of Stars journal April 1962
Cooperative Phenomena in Stellar Dynamics journal September 1962
Transport of Energetic Particles by Microturbulence in Magnetized Plasmas journal August 2008
Destabilizing Effect of Dynamical Friction on Fast-Particle-Driven Waves in a Near-Threshold Nonlinear Regime journal May 2009
Collisional Damping of a Plasma Echo journal February 1968
Scenarios for the nonlinear evolution of alpha-particle-induced Alfvén wave instability journal June 1992
Nonlinear Dynamics of a Driven Mode near Marginal Stability journal February 1996
Wave-Particle Resonance in Magnetized Plasma journal April 1998
Galactic Dynamics (Second Edition) book December 2008

Similar Records

Collisional resonance function in discrete-resonance quasilinear plasma systems
Journal Article · Mon Dec 02 19:00:00 EST 2019 · Physics of Plasmas · OSTI ID:1580577

Effect of dynamical friction on nonlinear energetic particle modes
Journal Article · Wed Sep 15 00:00:00 EDT 2010 · Physics of Plasmas · OSTI ID:21432274