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Title: Particle stochasticity due to magnetic perturbations of axisymmetric geometries

Abstract

The quasilinear theory of collisionless test particle diffusion in stochastic magnetic fields is extended to include the effects of finite gyroradius rho and particle drifts (including magnetic trapping). A canonical framework is used, in which both the criterion for onset of stochasticity and the diffusion tensor scale with field-particle coupling coefficients g/sub l/. The g/sub l/ contain all the information about a given particle's unperturbed orbit and the perturbation fields with which it interacts. The modification of transport due to finite rho and drifts is thus found by comparison of the g/sub l/ including these effects to their driftless, rho ..-->.. o limit.

Authors:
;
Publication Date:
Research Org.:
Princeton Univ., NJ (USA). Plasma Physics Lab.
OSTI Identifier:
5904843
Report Number(s):
PPPL-1556
TRN: 80-000477
DOE Contract Number:
EY-76-C-02-3073
Resource Type:
Technical Report
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; PLASMA DRIFT; CHARGED-PARTICLE TRANSPORT; STOCHASTIC PROCESSES; COLLISIONLESS PLASMA; MAGNETIC FIELD CONFIGURATIONS; QUASILINEAR PROBLEMS; TEST PARTICLES; TOKAMAK DEVICES; CLOSED PLASMA DEVICES; PLASMA; RADIATION TRANSPORT; THERMONUCLEAR DEVICES; 700105* - Fusion Energy- Plasma Research- Plasma Kinetics-Theoretical- (-1987)

Citation Formats

Mynick, H.E., and Krommes, J.A. Particle stochasticity due to magnetic perturbations of axisymmetric geometries. United States: N. p., 1979. Web. doi:10.2172/5904843.
Mynick, H.E., & Krommes, J.A. Particle stochasticity due to magnetic perturbations of axisymmetric geometries. United States. doi:10.2172/5904843.
Mynick, H.E., and Krommes, J.A. Thu . "Particle stochasticity due to magnetic perturbations of axisymmetric geometries". United States. doi:10.2172/5904843. https://www.osti.gov/servlets/purl/5904843.
@article{osti_5904843,
title = {Particle stochasticity due to magnetic perturbations of axisymmetric geometries},
author = {Mynick, H.E. and Krommes, J.A.},
abstractNote = {The quasilinear theory of collisionless test particle diffusion in stochastic magnetic fields is extended to include the effects of finite gyroradius rho and particle drifts (including magnetic trapping). A canonical framework is used, in which both the criterion for onset of stochasticity and the diffusion tensor scale with field-particle coupling coefficients g/sub l/. The g/sub l/ contain all the information about a given particle's unperturbed orbit and the perturbation fields with which it interacts. The modification of transport due to finite rho and drifts is thus found by comparison of the g/sub l/ including these effects to their driftless, rho ..-->.. o limit.},
doi = {10.2172/5904843},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Thu Nov 01 00:00:00 EST 1979},
month = {Thu Nov 01 00:00:00 EST 1979}
}

Technical Report:

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  • The quasi-linear theory of collisionless test particle diffusion in stochastic magnetic fields is extended to include the effects of finite gyroradius rho and particle drifts (including magnetic trapping). A canonical framework is used, in which both the criterion for onset of stochasticity and the diffusion tensor scale with field-particle coupling coefficients g/sub l/. The g/sub l/ contain all the information about the unperturbed orbit of a given particle and the perturbation fields with which the particle interacts. The modification of transport due to finite rho and drifts is thus found by comparison of the g/sub l/ including these effects tomore » their driftless, rho..-->..0 limit. It is found that runaway electron confinement is substantially improved over earlier, driftless estimates, and that trapped particles in microturbulence ought not be stochastic. The perturbations from proposed ripple injection schemes are large enough to induce stochasticity for certain classes of particles.« less
  • The quasilinear theory of collisionless test particle diffusion in stochastic magnetic fields is extended to include the effects of finite gyroradius, particle drifts, and magnetic trapping. Runaway confinement is substantially improved relative to earlier estimates which assumed that particles exactly followed field lines. Trapped particles are not expected to be stochastic.
  • The quasilinear theory of collisionless test particle diffusion in stochastic magnetic fields is extended to include the effects of finite gyroradius, particle drifts, and magnetic trapping. Runaway-electron confinement is substantially improved relative to earlier estimates which assumed that particles exactly followed field lines. Trapped particles are not expected to be stochastic.
  • A reference equilibrium for the U.S. National Compact Stellarator Experiment is predicted to be sufficiently close to quasi-symmetry to allow the plasma to flow in the toroidal direction with little viscous damping, yet to have sufficiently large deviations from quasi-symmetry that nonambipolarity significantly affects the physics of the shielding of resonant magnetic perturbations by plasma flow. The unperturbed velocity profile is modified by the presence of an ambipolar potential, which produces a broad velocity profile. In the presence of a resonant magnetic field perturbation, nonambipolar transport produces a radial current, and the resulting j x B force resists departures frommore » the ambipolar velocity and enhances the shielding.« less
  • A set of numerical techniques are described for calculating heat and particle source rates due to neutral beam injection in axisymmetric tokamaks. While these techniques consume a substantial amount of computer time, they take into account a number of significant, and normally neglected, effects. Examples of these effects are reionization of escaping charge exchanged beam particles, finite fast ion orbit excursions, beam deposition through collisions of beam neutrals with circulating beam ions, and the transport of thermal neutrals in the plasma due to charge changing collisions with beam ions.