Relaxation of plasma rotation in toroidal magnetic confinement systems View Full Text


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Article Info

DATE

2003-04

AUTHORS

L. M. Kovrizhnykh

ABSTRACT

A study is made of the relaxation of plasma rotation in nonaxisymmetric toroidal magnetic confinement systems, such as stellarators and rippled tokamaks. In this way, a solution to the drift kinetic equation is obtained that explicitly takes into account the time dependence of the distribution function, and expressions for the diffusive particle fluxes and longitudinal viscosity are derived that make it possible to write a closed set of equations describing the time evolution of the ambipolar electric field E and the longitudinal (with respect to the magnetic field) plasma velocity U0. Solutions found to the set of evolutionary equations imply that the relaxation of these two parameters to their steady-state values occurs in the form of damped oscillations whose frequency is about 2vT/R (where vT is the ion thermal velocity and R is the major plasma radius) and whose damping rate depends on the ion-ion collision frequency and on the magnetic field parameters. In particular, it is shown that, for tokamaks with a slightly rippled longitudinal magnetic field, the frequency of oscillations in the range q>2 (where q is the safety factor) is, as a rule, much higher than the damping rate. For stellarators, this turns out to be true only of the central plasma region, where the helical ripple amplitude ɛ of the magnetic field is much smaller than the toroidal ripple amplitude δ=r/R. More... »

PAGES

279-289

Identifiers

URI

http://scigraph.springernature.com/pub.10.1134/1.1568139

DOI

http://dx.doi.org/10.1134/1.1568139

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1031415270


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