Journal ArticleDOI
Finite length diocotron modes
T. J. Hilsabeck,T. M. O’Neil +1 more
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In this article, a finite-length diocotron mode for a non-neutral plasma column under the assumption of bounce averaged E×B drift dynamics and small Debye length is discussed.Abstract:
Diocotron modes are discussed for a finite length nonneutral plasma column under the assumption of bounce averaged E×B drift dynamics and small Debye length. In this regime, which is common to experiments, Debye shielding forces the mode potential to be constant along field lines within the plasma (i.e., ∂δφ/∂z=0). One can think of the plasma as a collection of magnetic-field aligned rods that undergo E×B drift across the field and adjust their length so as to maintain the condition ∂δφ/∂z=0 inside the plasma. Using the Green function (for a region bounded by a conducting cylinder) to relate the perturbed charge density and the perturbed potential, imposing the constraint ∂δφ/∂z=0, and discretizing yields a matrix eigenvalue problem. The mode eigenvector δNl,ω(rj)≡∫dz δnl,ω(rj,z) is the lth azimuthal Fourier component of the z-integrated density perturbation, and the frequency ω is the eigenvalue. The solutions include the full continuum and discrete stable and unstable diocotron modes. Finite column leng...read more
Citations
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Journal ArticleDOI
Vortex dynamics of 2D electron plasmas
TL;DR: In this article, the Euler equations are used to model the dynamics of point-vortex diffusion in an inviscid, incompressible fluid, governed by the point vortices.
Journal ArticleDOI
Trapped-particle diocotron modes
T. J. Hilsabeck,T. M. O’Neil +1 more
TL;DR: In this paper, the authors presented a theoretical model of trapped-particle modes on a non-neutral plasma column and compared it to experimental observations of trapped and passing particles in a Malmberg-Penning trap.
Journal ArticleDOI
Image-charge method for contour dynamics in systems with cylindrical boundaries
TL;DR: In this paper, the classic contour dynamics method for the study of inviscid two-dimensional flow in an infinite domain is extended to systems with a circular boundary, and a suitable use of the image-charge technique allows one to express the velocity on the contour of each vortex in terms of line integrals on contours.
Journal ArticleDOI
L = 1 diocotron instability of single charged plasmas
TL;DR: In this article, the linear stability analysis of the l=1 diocotron perturbations in a low density single charged plasma confined in a cylindrical Penning trap is critically revisited.
References
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Book
Lectures on Geophysical Fluid Dynamics
TL;DR: In this paper, the authors introduce Geophysical Fluid Dyunamics and introduce the non-inertial theory of Ocean Circulation and Statistical Fluid Dynamics (SFLD).
Journal ArticleDOI
Trapped nonneutral plasmas, liquids, and crystals (the thermal equilibrium states)
TL;DR: In this article, the conditions for, and the structure of, the thermal equilibrium states of trapped plasmas are discussed. And a thermodynamic theory of the trapped plasma system is developed.
Book
Physics of Nonneutral Plasmas
TL;DR: Theoretical models of nonneutral plasma fundamental properties of non-neutral plasma Kinetic equilibrium and stability properties Macroscopic Equilibrium and Stability Properties The Diocotron Instability Coherent Electromagnetic Wave Generation by the Cyclotron Maser and Free Electron Laser Instabilities as discussed by the authors.