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Title: Fast particles in drift wave turbulence

Journal Article · · Physics of Plasmas
DOI: https://doi.org/10.1063/5.0147320 · OSTI ID:1971514

This study aims to incorporate the effects of fast particles into our present fluid model for tokamak transport. The parameter ε f = ω / ω f, where ω is the mode frequency and ω f is the typical frequency of the fast particles, which enters as a factor in front of the fast particle response. Thus, for trapped fast particles, where ω f = ω pres the precession frequency of the fast particles, this parameter is of order 10 – 2 for drift waves, and thus, the fast particle response can be neglected. However, ε f will be of order 1 for fast particle modes such as in the fishbone instability. An important turbulence property, affecting both these limits, is resonance broadening. Effects of resonance broadening have recently been considered for fast particle instabilities, often coupled directly to the linear growth rate, while we here consider the original Dupree formulation where the turbulence directly drives a nonlinear frequency shift. Resonance broadening has a general tendency to counteract dissipative wave particle resonances. This has been observed for fast particle instabilities. Here, there is a resonant external source for the fast particles, so the instability survives if this source is dominant over the resonance broadening. For drift waves, however, external sources are not resonant since ε f << 1. Furthermore, the resonance broadening is able to remove the dissipative wave particle resonance completely.

Research Organization:
Lehigh Univ., Bethlehem, PA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Fusion Energy Sciences (FES)
Grant/Contract Number:
SC0013977
OSTI ID:
1971514
Journal Information:
Physics of Plasmas, Vol. 30, Issue 4; ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English

References (28)

A fully toroidal fluid analysis of the magnetohydrodynamic ballooning mode branch in tokamaks journal January 1988
Nonlinear response of driven systems in weak turbulence theory journal May 1996
Gyro‐Landau fluid models for toroidal geometry journal October 1992
On the relation between ‘‘mixing length’’ and ‘‘direct interaction approximation’’ theories of turbulence journal January 1985
Nonlinear Kinetic Fluid Equations journal November 1997
Magnetohydrodynamic ballooning instabilities excited by energetic trapped particles journal January 1985
Excitation of Internal Kink Modes by Trapped Energetic Beam Ions journal March 1984
Excitation of the toroidicity‐induced shear Alfvén eigenmode by fusion alpha particles in an ignited tokamak journal October 1989
On resonant destabilization of toroidal Alfvén eigenmodes by circulating and trapped energetic ions/alpha particles in tokamaks journal August 1992
Dispersion relation for pressure-driven toroidal modes including finite Larmor radius effects journal December 1985
Nonlinear fluid closure: Three-mode slab ion temperature gradient problem with diffusion journal April 2002
On the relationship between mixing length and strong turbulence estimates for transport due to drift turbulence journal January 2001
A Perturbation Theory for Strong Plasma Turbulence journal January 1966
Statistical theory of turbulent transport (non-Markovian effects) journal June 1999
Renormalized dielectric function for collisionless drift wave turbulence journal January 1978
Trapped particle destabilization of the internal kink mode journal January 1985
Closure at the Irreducible Part of the Fourth Moment for the Case of Constant Coefficients in the Fokker-Planck Equation conference January 2011
Excitation of magnetohydrodynamic modes by energetic trapped particles in reactive and dissipative systems journal March 1992
Anisotropic diffusion across an external magnetic field and large-scale fluctuations in magnetized plasmas journal April 2005
Diffusive particle and heat pinch effects in toroidal plasmas journal October 1989
Non-Markovian Renormalization of Kinetic Coefficients for Drift wave Turbulence journal January 2001
Stochastic Problems in Physics and Astronomy journal January 1943
Study of High-Beta Magnetohydrodynamic Modes and Fast-Ion Losses in PDX journal March 1983
Nonlinear stabilization of the lower-hybrid-drift instability by electron resonance broadening journal January 1978
Particle diffusion in random fields: Time-nonlocal description and numerical simulations journal January 2003
Comparing the line broadened quasilinear model to Vlasov code journal March 2014
Physics basis of Multi-Mode anomalous transport module journal March 2013
Resonance frequency broadening of wave-particle interaction in tokamaks due to Alfvénic eigenmode journal June 2018