2019
DOI: 10.1063/1.5078569
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Comprehensive kinetic theory of an electron emitting electrode in a low-density isotropic plasma

Abstract: The kinetic theory of an electron emitting electrode immersed in a low-density isotropic plasma is developed for the first time to include the theory of formation of a virtual cathode in this scenario. In addition to virtual cathode solution for supercritical emission, the potential profile solution for subcritical and critical emission is also included. The plasma-electron and emitted-electron are assumed to have half Maxwellian velocity distributions at the sheath entrance and electrode surface, respectively… Show more

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Cited by 3 publications
(4 citation statements)
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“…The failure of conventional .1128) beyond which the self-consists solution of Poisson's equation does not exists. The transition region at which the conventional Debye sheath theory fails and inverse sheath begins to develop is not explainable either with [7] or with present model but it is clear that at higher emitted-electron temperature the conventional ion rich sheath converts to electron rich sheath and the ion Bohm criterion breaks down. Further increase of emitted-electron temperature ultimately develops inverse sheath so that plasmaelectron are accelerated and plasma-ions are decelerated within the inverse sheath as shown in figures 6(a) and 6(b) respectively.…”
Section: Comparison With Existing Theories and Experimental Workcontrasting
confidence: 56%
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“…The failure of conventional .1128) beyond which the self-consists solution of Poisson's equation does not exists. The transition region at which the conventional Debye sheath theory fails and inverse sheath begins to develop is not explainable either with [7] or with present model but it is clear that at higher emitted-electron temperature the conventional ion rich sheath converts to electron rich sheath and the ion Bohm criterion breaks down. Further increase of emitted-electron temperature ultimately develops inverse sheath so that plasmaelectron are accelerated and plasma-ions are decelerated within the inverse sheath as shown in figures 6(a) and 6(b) respectively.…”
Section: Comparison With Existing Theories and Experimental Workcontrasting
confidence: 56%
“…Consider an electron-emitting electrode/wall surface at x = x w , in a time-independent low-pressure isotropic plasma and we consider only the plasma on the right side (x > x w ) of the electrode/wall. For inverted sheath (electron rich sheath as oppose to conventional ion rich sheath) analysis we assume a monotonically decreasing potential profile, V x , ( ) from electrode surface, x w , to the sheath edge at position x = x se as stated in conclusion of [7] and shown in figure 1 (Here and henceforth Q w and Q se refers to the quantities at the electrode/wall surface and sheath edge, respectively).…”
Section: Model and Particle Speciesmentioning
confidence: 99%
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