DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Mechanisms of energetic-particle transport in magnetically confined plasmas

Journal Article · · Physics of Plasmas
DOI: https://doi.org/10.1063/1.5136237 · OSTI ID:1606328

Super-thermal ions and electrons occur in both space and fusion plasmas. Because these energetic particles (EP) have large velocities, EP orbits necessarily deviate substantially from magnetic surfaces. Orbits are described by conserved constants of motion that define topological boundaries for different orbit types. Electric and magnetic field perturbations produced by instabilities can disrupt particle orbits, causing the constants of motion to change. The statistics of the “kicks” associated with these perturbations determines the resulting cross field transport. A unifying theme of this tutorial is the importance of the perturbation’s phase at the particle’s position Θ = k • r – ωt, where k and ω are the wavevector and frequency of the perturbation, r is the EP position, and t is the time. A distinction is made between field perturbations that resonate with an aspect of the orbital motion and those that do not. Resonance occurs when the wave phase returns to its initial value in an integer multiple of an orbital period. Convective transport occurs when resonant particles experience an unvarying wave phase. Alternatively, multiple wave-particle resonances usually decorrelate the phase, resulting in diffusive transport. Large orbits increase the number of important resonances and can cause chaotic orbits even for relatively small amplitude waves. In contrast, in the case of non-resonant perturbations, orbital phase averaging reduces transport. Here, large field perturbations introduce additional effects, including nonlinear resonances at fractional values of the orbital motion. In summary, large orbits are a blessing and a curse: For non-resonant modes, orbit-averaging reduces transport but, for resonant transport, large orbits facilitate jumps across topological boundaries and enhance the number of important resonances.

Research Organization:
Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC02-09CH11466
OSTI ID:
1606328
Journal Information:
Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 3 Vol. 27; ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English

References (102)

Introduction to Plasma Physics and Controlled Fusion book January 1984
Introduction to the interaction between energetic particles and Alfven eigenmodes in toroidal plasmas journal December 2018
Modification of particle distributions by MHD instabilities I journal May 2012
Fundamentals of Plasma Physics book January 2006
Variational principles of guiding centre motion journal February 1983
Effects of toroidal field ripple on suprathermal ions in tokamak plasmas journal October 1981
Stellarator equilibria with reactor relevant energetic particle losses journal October 2019
Adiabatic charged-particle motion journal January 1963
Simulations tackle abrupt massive migrations of energetic beam ions in a tokamak plasma journal August 2018
Collisionless Damping of Nonlinear Plasma Oscillations journal January 1965
Transport optimization in stellarators journal May 2006
Effect of nuclear elastic scattering on ion heating characteristics in deuterium-tritium thermonuclear plasmas journal June 2006
Basic physics of Alfvén instabilities driven by energetic particles in toroidally confined plasmas journal May 2008
Poloidal motion of trapped particle orbits in real-space coordinates journal May 2008
Experimental studies on fast-ion transport by Alfvén wave avalanches on the National Spherical Torus Experiment journal May 2009
Doppler-shifted cyclotron resonance of fast ions with circularly polarized shear Alfvén waves journal May 2009
Turbulent transport of fast ions in the Large Plasma Device journal September 2010
Dependence of fast-ion transport on the nature of the turbulence in the Large Plasma Device journal August 2011
Thermal plasma and fast ion transport in electrostatic turbulence in the large plasma device journal May 2012
Why is Boris algorithm so good? journal August 2013
Orbit-based analysis of resonant excitations of Alfvén waves in tokamaks journal November 2014
Diverse wave-particle interactions for energetic ions that traverse Alfvén eigenmodes on their first full orbit journal February 2016
Fast-ion transport by Alfvén eigenmodes above a critical gradient threshold journal May 2017
Resonances between high energy particles and ideal magnetohydrodynamic modes in tokamaks journal October 2018
A simple model for perturbative kinetic particle resonances in tokamaks journal April 2019
Alpha‐particle losses from toroidicity‐induced Alfvén eigenmodes. Part I: Phase‐space topology of energetic particle orbits in tokamak plasma journal June 1992
Transport of energetic ions by low‐ n magnetic perturbations journal May 1993
Stochastic acceleration by an obliquely propagating wave-An example of overlapping resonances journal January 1978
Transport of runaway and thermal electrons due to magnetic microturbulence journal January 1981
Theory of mode-induced beam particle loss in tokamaks journal January 1983
Hamiltonian guiding center drift orbit calculation for plasmas of arbitrary cross section journal January 1984
Theory of magnetohydrodynamic instabilities excited by energetic particles in tokamaks* journal May 1994
What is a stellarator? journal May 1998
Theory of resonance influence of sawtooth crashes on ions with large orbit width journal August 1998
Proof of a Theorem of a. n. Kolmogorov on the Invariance of Quasi-Periodic Motions Under Small Perturbations of the Hamiltonian journal October 1963
Fast-wave heating of a two-component plasma journal October 1975
Field-reversed configurations with a component of energetic particles journal November 1982
Sawtooth oscillations in the flux of runaway electrons to the PLT limiter journal August 1982
Fast-time-resolution charge-exchange measurements during the ‘fishbone’ instability in the poloidal divertor experiment journal April 1984
Measurements of periodic ripple transport in the ISX-B tokamak journal March 1985
Studies of energetic ion confinement during fishbone events in PDX journal August 1985
Radial diffusion coefficient for counter-passing MeV ions in the TFTR tokamak journal December 1991
The behaviour of fast ions in tokamak experiments journal April 1994
Line broadened quasi-linear burst model [fusion plasma] journal December 1995
Orbit topology in conventional stellarators in the presence of electric fields journal February 1995
Effect of sawtooth oscillations on energetic ions journal July 2000
Simulations of beam ion transport during tearing modes in the DIII-D tokamak journal July 2002
Classification of particle orbits and related stochasticity of plasma ion motion in a field-reversed configuration with D-3He advanced fuel journal August 2002
Energetic ion transport by abrupt large-amplitude event induced by negative-ion-based neutral beam injection in the JT-60U journal November 2005
Observation and modelling of fast ion loss in JET and ASDEX Upgrade journal September 2006
NTM induced fast ion losses in ASDEX Upgrade journal June 2007
Numerical simulations of fast ion loss measurements induced by magnetic islands in the ASDEX Upgrade tokamak journal September 2009
Dynamics of fast ions during sawtooth oscillations in the TEXTOR tokamak measured by collective Thomson scattering journal May 2011
Stochastic orbit loss of neutral beam ions from NSTX due to toroidal Alfvén eigenmode avalanches journal December 2012
Prompt non-resonant neutral beam-ion loss induced by Alfvén eigenmodes in the DIII-D tokamak journal November 2013
Fast-ion transport in the presence of magnetic reconnection induced by sawtooth oscillations in ASDEX Upgrade journal January 2014
Non-linear wave-particle interactions and fast ion loss induced by multiple Alfvén eigenmodes in the DIII-D tokamak journal May 2014
Local wave particle resonant interaction causing energetic particle prompt loss in DIII-D plasmas journal October 2015
Effects of energetic particle phase space modifications by instabilities on integrated modeling journal July 2016
Fast ion profile stiffness due to the resonance overlap of multiple Alfvén eigenmodes journal July 2016
Interpretation of fast-ion signals during beam modulation experiments journal July 2016
Collective Thomson scattering measurements of fast-ion transport due to sawtooth crashes in ASDEX Upgrade journal July 2016
Heating of toroidal plasmas by neutral injection journal April 1972
Effects of enhanced toroidal field ripple on JET plasmas journal December 1992
Dynamics of energetic ion orbits in magnetically confined plasmas journal March 2001
Particle distribution modification by low amplitude modes journal March 2010
Affinity and difference between energetic-ion-driven instabilities in 2D and 3D toroidal systems journal January 2011
Major minority: energetic particles in fusion plasmas journal March 2011
Characterization of off-axis fishbones journal July 2011
Stellarator and tokamak plasmas: a comparison journal November 2012
Velocity-space studies of fast-ion transport at a sawtooth crash in neutral-beam heated plasmas journal January 2012
A reduced fast ion transport model for the tokamak transport code TRANSP journal April 2014
Enhancement of the FIDA diagnostic at ASDEX Upgrade for velocity space tomography journal January 2016
Phase-space dynamics of runaway electrons in magnetic fields journal February 2017
Characterisation of the fast-ion edge resonant transport layer induced by 3D perturbative fields in the ASDEX Upgrade tokamak through full orbit simulations journal November 2018
Quantitative modeling of neoclassical tearing mode driven fast ion transport in integrated TRANSP simulations journal April 2019
Self-consistent long-time simulation of chirping and beating energetic particle modes in JT-60U plasmas journal December 2016
The effect of inelastic collisions on the transport of alpha particles in ITER-like plasmas journal February 2017
Phase-space dependent critical gradient behavior of fast-ion transport due to Alfvén eigenmodes journal June 2017
The phase-space dependence of fast-ion interaction with tearing modes journal July 2018
Effect of sawtooth crashes on fast ion distribution in NSTX-U journal July 2018
Nonlocal transport in toroidal plasma devices journal December 2018
Physics of runaway electrons in tokamaks journal June 2019
Efficient and rigorous evaluation of fast particle losses in non-axisymmetric tokamak plasmas journal January 2020
Self-consistent kinetic theory with nonlinear wave-particle resonances journal September 2019
Nondiffusive transport regimes for suprathermal ions in turbulent plasmas journal April 2015
Radial Transport Characteristics of Fast Ions Due to Energetic-Particle Modes inside the Last Closed-Flux Surface in the Compact Helical System journal February 2008
Transport of Energetic Particles by Microturbulence in Magnetized Plasmas journal August 2008
Convective and Diffusive Energetic Particle Losses Induced by Shear Alfvén Waves in the ASDEX Upgrade Tokamak journal May 2010
Nondiffusive Suprathermal Ion Transport in Simple Magnetized Toroidal Plasmas journal January 2012
Fractional Resonances between Waves and Energetic Particles in Tokamak Plasmas journal July 2012
Enhanced Localized Energetic-Ion Losses Resulting from Single-Pass Interactions with Alfvén Eigenmodes journal February 2013
Observation of Critical-Gradient Behavior in Alfvén-Eigenmode-Induced Fast-Ion Transport journal February 2016
Effect of Partially Screened Nuclei on Fast-Electron Dynamics journal June 2017
Electron Heat Transport in a Tokamak with Destroyed Magnetic Surfaces journal January 1978
Confinement of High-Energy Trapped Particles in Tokamaks journal August 1981
Reduction in Neutral Beam Driven Current in a Tokamak by Tearing Modes journal July 1997
Observation of Weak Impact of a Stochastic Magnetic Field on Fast-Ion Confinement journal September 2005
Observation of Kinetic Plasma Jets in a Coronal-Loop Simulation Experiment journal March 2007
Hamiltonian theory of guiding-center motion journal May 2009
Physics of Alfvén waves and energetic particles in burning plasmas journal March 2016
Introduction to Plasma Physics book January 1995