An analytical solution to the problem of the l = 1 diocotron mode instability in a hollow density non-neutral plasma column with finite length is presented. The starting point of the analysis is the paper of Finn et al. [J. M. Finn, D. del-Castillo-Negrete, D. C. Barnes, Phys. Plasmas 6, 3744 (1999)], where the instability mechanism involves compression of the plasma in the direction parallel to the magnetic field, with conservation of its line-integrated density. In the limit of small curvature of the plasma end-fronts, the method presented here provides both eigenvalue and eigenfunction for the unstable l = 1 "extreme mode".
Compressional diocotron instability in a non-neutral plasma with a stationary point in the rotation frequency profile / M. Romé, I. Kotelnikov, R. Pozzoli - In: NON-NEUTRAL PLASMA PHYSICS VI: Workshop on Non-Neutral Plasmas 2006 / [a cura di] M. Drewsen, U. Uggerhøj, H. Knudsen. - [s.l] : American Institute of Physics, 2006. - ISBN 978-0-7354-0360-4. - pp. 122-127 (( Intervento presentato al 6. convegno Workshop on Non-Neutral Plasmas tenutosi a Aarhus (Denmark) nel 2006.
Compressional diocotron instability in a non-neutral plasma with a stationary point in the rotation frequency profile
M. RoméPrimo
;R. PozzoliUltimo
2006
Abstract
An analytical solution to the problem of the l = 1 diocotron mode instability in a hollow density non-neutral plasma column with finite length is presented. The starting point of the analysis is the paper of Finn et al. [J. M. Finn, D. del-Castillo-Negrete, D. C. Barnes, Phys. Plasmas 6, 3744 (1999)], where the instability mechanism involves compression of the plasma in the direction parallel to the magnetic field, with conservation of its line-integrated density. In the limit of small curvature of the plasma end-fronts, the method presented here provides both eigenvalue and eigenfunction for the unstable l = 1 "extreme mode".Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.