1979
DOI: 10.1063/1.862578
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Finite length thermal equilibria of a pure electron plasma column

Abstract: The electrons of a pure electron plasma may be in thermal equilibrium with each other and still be confined by static magnetic and electric fields. Since the electrons make a significant contribution to the electric field, only certain density profiles are consistent with Poisson’s equation. The class of such distributions for a finite length cylindrical column is investigated. In the limit where the Debye length is small compared with the dimensions of the column, the density is essentially constant out to so… Show more

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Cited by 152 publications
(80 citation statements)
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“…1,2,3 A mirror field has been suggested to cause transport in such traps 1 . Thermal equilibrium in Malmberg-Penning traps has been studied 4 , but without a detailed analysis of mirror fields.…”
Section: Introductionmentioning
confidence: 99%
“…1,2,3 A mirror field has been suggested to cause transport in such traps 1 . Thermal equilibrium in Malmberg-Penning traps has been studied 4 , but without a detailed analysis of mirror fields.…”
Section: Introductionmentioning
confidence: 99%
“…Equations (25) and (28) constitute a system of nonlinear equations for the potential φ, the Poisson-Boltzmann system, that can be solved uniquely (Prasad and O'Neil, 1979) for given values of the rotation frequency, the temperature, the constant C (determined in terms of the other constants and the total particle number N ) and given boundary conditions for φ specified by the voltages applied to the confinement electrodes.…”
Section: B Finite Temperature Effects and Thermal Equilibriamentioning
confidence: 99%
“…One can show that in the cold fluid limit, a singly-charged sample in a harmonic potential has a uniform density [27], bound by an ellipsoid of revolution where the density falls to zero on the scale of the Debye length.…”
Section: Transfer Efficiency For Large Ion Clouds a Estimation mentioning
confidence: 99%