%0 Journal Article
%A Rogister, A.
%T Low frequency instabilities in confined plasmas, concepts and theoretical framework
%J Fusion science and technology
%V 45
%@ 1536-1055
%C La Grange Park, Ill.
%I American Nuclear Society
%M PreJuSER-32986
%P 338 - 345
%D 2004
%Z Record converted from VDB: 12.11.2012
%X Most experts consider that anomalous energy and particle transport in fusion devices are due to low frequency waves whose free energy sources are the equilibrium gradients and the associated drifts across the confining magnetic field (drift waves). We consider successively the cases where k(\\)qR much greater than 1 and k(\\)qR similar to 1 where k(\\) is the parallel wave number, qR being the connection length. The first limit is particularly adequate if the gradient of the parallel flow velocity is significant; exact stability criteria are then obtained with the help of the Nyquist diagram in the framework of the local dispersion relation which applies. That is not the case if k(\\)qR similar to 1 : here, the stability analysis leads to second order differential equations whose complex eigenvalues provide the wave frequencies and the growth/decay rates. The theoretical concepts are developed successively for cylindrical and axi-symmetric toroidal geometries. Electrons are considered to be adiabatic.
%K J (WoSType)
%F PUB:(DE-HGF)16
%9 Journal Article
%U <Go to ISI:>//WOS:000220595000038
%U https://juser.fz-juelich.de/record/32986