Wave equations for low frequency waves in hot magnetically confined plasmas [Elektronische Ressource] / Roman Kochergov

Technische Universit at Munc henFakult at fur PhysikWave Equations for Low Frequency Waves in HotMagnetically Con ned Plasmas.Roman KochergovVollst andiger Abdruck der von der Fakult at fur Physikder Technischen Universit at Munc henzur Erlangung des akademischen Grades einesDoktors der Naturwissenschaften (Dr.rer.nat.)genehmigten Dissertation.Vorsitzender: Univ.-Prof. Dr. H. KinderPrufer der Dissertation: 1. Hon.-Prof. Dr. R. Wilhelm2. Univ.-Prof. Dr. M. DreesDie Dissertation wurde am 14.01.2003 bei derTechnischen Universit at Munc hen eingereicht unddurch die Fakult at fur Physik am 31.03.2003 angenommen.AbstractThe investigation of wave propagation and instabilities in plasmas requires the knowl-edge of the constitutive relation, i.e. the relation between oscillating wave electric eldand current in the plasma. The constitutive relation in a hot nonuniform plasma hasan integral non-local form: the current at a given point depends on the elds at otherpoints. Explicit expressions for the constitutive relation were previously obtained onlyfor very special cases: restrictive approximations were mostly introduced at the earlystages of derivation to simplify the form of the constitutive relation.