摘要: A perturbation procedure for the construction of a nonlinear diocotron mode an infinite length cylindrical pure electron plasma column is presented. The modeled as cold fluid executing E×B drift in strong axial magnetic field. has no variation and depends on θ (azimuthal angle) t (time) through combination θ−Ωt. Thus potential density are stationary frame rotating with angular frequency Ω. In this frame, satisfies relation ∇2φ=F(φ) where F function φ only. This equation solved perturbatively to determine supported by cylindrically symmetric equilibrium profile. properties depend only offset from axis bounding conducting cylinder larger than value predicted linear theory amount roughly proportional square offset.
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