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Tesi etd-10192012-092638


Tipo di tesi
Tesi di dottorato di ricerca
Autore
INGLEBERT, AURELIE
URN
etd-10192012-092638
Titolo
Vlasov-Maxwell model for the study of Weibel type instabilities
Settore scientifico disciplinare
FIS/03
Corso di studi
SCIENZE DI BASE
Relatori
relatore Prof. Ghizzo, Alain
correlatore Reveille, Thierry
controrelatore Valentini, Francesco
controrelatore Prof. Sonnendrucker, Eric
tutor Prof. Califano, Francesco
Parole chiave
  • Current filamentation instability
  • Multi-stream model
  • Plasma physic
  • Vlasov-Maxwell model
  • Weibel instability
Data inizio appello
19/11/2012
Consultabilità
Completa
Riassunto
The origin of magnetic fields observed in laboratory and astrophysical plasmas is one of
the most challenging problems in plasma physics. In this respect, the Weibel type instabilities
are considered of key importance. These instabilities are caused by a temperature anisotropy (Weibel instability) and electron momentum (current filamentation instability).
The main objective of this thesis is the theoretical and numerical study of these instabilities in a collisionless plasma in the relativistic regime.
The first aspect of this work is to study the nonlinear regime of these instabilities and the role of kinetic and relativistic effects on the structure of self-consistent electromagnetic fields. In this context, a key problem for the theory and applications, is the identification and analysis of coherent structures developed spontaneously in the nonlinear regime of kinetic scales.
A second aspect of the work is the development of analytical and numerical techniques for the study of collisionless plasmas. A mathematical model of reference is the Vlasov-Maxwell model, where the Vlasov equation (mean field theory) is coupled to the Maxwell equations in a self-consistent way. A one-dimensional model, the multi-stream model, is also introduced. Based on a dimensional reduction technique, it is both an analytical model "simple" having the advantage of being able to solve a 1D Vlasov equation for each particle beam, and a numerical model less expensive than a complete model.
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