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Bridging the gap between two stream and filamentation instabilities

Published online by Cambridge University Press:  30 August 2005

ANTOINE BRET
Affiliation:
Laboratoire de Physique des Gaz et des Plasmas, Université Paris XI, Orsay, France
MARIE-CHRISTINE FIRPO
Affiliation:
Laboratoire de Physique des Gaz et des Plasmas, Université Paris XI, Orsay, France
CLAUDE DEUTSCH
Affiliation:
Laboratoire de Physique des Gaz et des Plasmas, Université Paris XI, Orsay, France
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Abstract

We investigate intermediate unstable modes between two stream and filamentation instabilities. We detail the problem of the angle between the wave vector and its electric field and use an electromagnetic formalism allowing for any value for this angle. We display analytical results for 3 different models: cold beam-cold plasma, cold beam-hot plasma and cold relativistic beam-hot plasma. We demonstrate that plasma temperature prompts a critical angle for which waves are unstable at any k and show that for a relativistic beam, the most unstable waves are obtained for wave vectors which are neither normal nor perpendicular to the beam.

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Type
Research Article
Copyright
© 2005 Cambridge University Press

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