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physics.plasm-ph2004
Space charge limited flow of a thin electron beam confined by a strong magnetic field
A. Rokhlenko, J. L. Lebowitz
An approximate analytic theory is developed and implemented numerically for calculating the space charge limited current and electric field of a thin cylindrical beam or current sh…
physics.plasm-ph2003
Space Charge Limited 2-d Electron Flow between Two Flat Electrodes in a Strong Magnetic Field
A. Rokhlenko, Joel L. Lebowitz
An approximate analytic solution is constructed for the 2-d space charge limited emission by a cathode surrounded by non emitting conducting ledges of width Lambda. An essentially…