Diocotron Spectrum with Compression Effects
Final rept. 15 Apr 2001-31 Mar 2002
LOS ALAMOS NATIONAL LAB NM
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The diocotron spectrum for a simplified model of Malmberg-Penning traps that includes compression effects due to end curvature is investigated herein. Performing an initial value treatment, we find that there is a class of length profiles for which the linearized eigenvalue equation of the model can be integrated in quadratures integrable case. In this case, there is only algebraic growth when the effective angular frequency has a maximum hollow profile or a minimum, and the model is mathematically equivalent to the zero curvature 2D Euler case. Furthermore, we study profiles that are slightly different from the integrable one the difference being characterized by a small parameter, epsilon, finding that the frequency of the unstable l 1 mode scales as epsilonexp 23. Analytical calculations and numerical simulations are found in remarkable agreement.
- Plasma Physics and Magnetohydrodynamics