A new analytical solution to the problem of the l=1 diocotron mode instability in a hollow density non-neutral plasma column with finite lenght is presented. The starting point of the analysis is the paper of Finn [J. M. Finn, D. del-Castillo-Negrete, and 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." (C) 2005 American Institute of Physics.
Diocotron instability in non-neutral plasmas with a stationary point in the rotation frequency profile / I. A. Kotelnikov, R. Pozzoli, M. Romé. - In: PHYSICS OF PLASMAS. - ISSN 1070-664X. - 12:9(2005), pp. 092105.092105-1-092105.092105-8. [10.1063/1.2040177]
Diocotron instability in non-neutral plasmas with a stationary point in the rotation frequency profile
R. PozzoliSecondo
;M. RoméUltimo
2005
Abstract
A new analytical solution to the problem of the l=1 diocotron mode instability in a hollow density non-neutral plasma column with finite lenght is presented. The starting point of the analysis is the paper of Finn [J. M. Finn, D. del-Castillo-Negrete, and 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." (C) 2005 American Institute of Physics.Pubblicazioni consigliate
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