Abstract
A self-consistent quasistatic equilibrium for a non-neutral cylindrical electron vortex has been found using the two-dimensional relativistic electron fluid equations. While other work on electron vortices considered a regime where the vortex radius is much smaller than the collisionless skin depth λ=c/ωp, this equilibrium is valid for large-radius, diamagnetic vortices and predicts a maximum radius of 23/2λ for a highly relativistic electron vortex. The vortex model shows good agreement with observations of diamagnetic electron vortices in two-dimensional electromagnetic particle-in-cell simulations of magnetically insulated transmission lines.
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