Diocotron Spectrum with Compression Effects

Abstract

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 epsilon(exp 2/3). Analytical calculations and numerical simulations are found in remarkable agreement.

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Document Details

Document Type
Technical Report
Publication Date
Jun 24, 2002
Accession Number
ADP012528

Entities

People

  • G. L. Delzanno
  • Giovanni Lapenta
  • J. M. Finn
  • V. I. Pariev

Organizations

  • Los Alamos National Laboratory

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Compression
  • Computational Fluid Dynamics
  • Computational Science
  • Contour Integrals
  • Curvature
  • Equations
  • Euler Equations
  • Fluid Dynamics
  • Frequency
  • Frequency Shift
  • Geometry
  • Instability
  • Integrals
  • Ion Traps
  • Laplace Transformation
  • Perturbation Theory
  • Perturbations

Readers

  • Calculus or Mathematical Analysis
  • Plasma Physics / Magnetohydrodynamics