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Relativistic Effects on the Equilibrium of Electron Plasmas

I. Kotelnikov, M. Romé

Fusion Science and Technology / Volume 55 / Number 2T / February 2009 / Pages 140-143

Technical Paper / Seventh International Conference on Open Magnetic Systems for Plasma Confinement

Relativistic effects on the radial equilibrium of non-neutral plasmas confined in cylindrical traps are analyzed for rigid and sheared modes of plasma rotation, both with and without the presence of a coaxial inner charged conductor. The changes with respect to the non-relativistic results are especially pronounced for the fast rotational equilibrium solutions. In particular, relativistic effects can limit the plasma outer radius. Analytical estimates of this maximum radius are found both for a rigid plasma rotation and for the case of a uniform plasma density. It is also observed that the Brillouin density limit is modified when the shielding of the external magnetic field by the current associated with the plasma rotation becomes significant.

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