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The aim of this thesis is a study of micro-instabilities in tokamak plasmas under both linear and non-linear conditions. After a brief review of experimental results, the theoretical basis of the study is presented. A variational method dependant on the existence of a system of angular variables of action for the charged particles in the magnetic configuration of the tokamak is described. The corresponding function, in agreement with the varying electric field, is calculated analytically, allowing for the effects of toroidal geometry. A numeric code, TORRID, has been developed following this principle, and thus the main instabilities - in particular ionic instabilities and the micro-tearing modes - have been studied linearly. The simplest non-linear methods are reviewed, and applied to microtearing instabilities. The quasi-linear transport coefficients are deduced from the principle of minimum entropy. The ionic thermal conductivity and the viscosity are then calculated for ionic turbulence.

Additional information

Authors: GARBET X, CEA, Departement de Recherches sur la Fusion Controlee, CEN/Cadarache, Saint-Paul-lez-Durance (FR)
Bibliographic Reference: Report: EUR-CEA-FC 1354 FR (1988)
Availability: Available from CEA, Département de Recherches sur la Fusion Contrôlée, Saint-Paul-lez-Durance (FR)
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