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dc.contributor.authorCoutsias, Evangelos A.
dc.contributor.authorSullivan, D.J.
dc.date.accessioned2012-03-23T21:38:24Z
dc.date.available2012-03-23T21:38:24Z
dc.date.issued1984-03
dc.identifier.citationPhysical Review A, 27(3): 1535-1543en_US
dc.identifier.issn1050-2947
dc.identifier.urihttp://hdl.handle.net/1928/20191
dc.description.abstractThe method of characteristics and multiple-scaling perturbation techniques are used to study the space-charge instability of electron beams. It is found that the stable oscillating state (virtual cathode) created when the space-charge limit is exceeded is similar to a collisionless shock wave. The oscillatory solution originates at the bifurcation point of two unstable steady states. Complementary behavior (virtual anode) results when an ion beam exceeds its space-charge limit. The virtual cathode can also exist in the presence of a neutralizing heavy-ion background. The Pierce instability, where the electron and ion charge densities are equal, is a special case of this broader class. Estimates of the nonlinear growth rate of the instability at the space-charge limit are given.en_US
dc.description.sponsorshipAmerican Physical Societyen_US
dc.language.isoen_USen_US
dc.publisherAmerican Physical Societyen_US
dc.titleSpace charge limit instabilities in electron beamsen_US
dc.typeArticleen_US
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