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Electron dynamics inside a vacuum tube diode through linear differential equations
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most specific type: Document
abstract: In this paper we analyze the motion of charged particles in a vacuum tube diode by solving linear differential equations. Our analysis is based on expressing the volume charge density as a function of the current density and coordinates only, i.e. ρ=ρ(J,z), while in the usual scheme the volume charge density is expressed as a function of the current density and electrostatic potential, i.e. ρ=ρ(J,V). We show that, in the case of slow varying charge density, the space-charge-limited current is reduced up to 50%25. Our approach gives the well-known behavior of the classical current density proportional to the three-halves power of the bias potential and inversely proportional to the square of the gap distance between electrodes, and does not require the solution of the nonlinear differential equation normally associated with the Child-Langmuir formulation. Copyright © 2013 Cambridge University Press.
page start: 247
e iscopus: 2-s2.0-84897917020
volume: 80
doi: 10.1017/S0022377813001256
accesstype: All Open Access, Green
page end: 254
most specific type: Article
freetext keyword: Charge density; Current density; Tubes (components); Vacuum; Bias potential; Electron dynamics; Electrostatic potentials; Gap distances; Linear differential equation; Nonlinear differential equation; Space-charge-limited current; Volume charge density; Differential equations
type: Article
type: Entity
type: Document
estado: published
type: Information Content Entity
origen: scopus
related by: authorship_21564
type: Continuant
has publication venue: Journal of Plasma Physics
issue: 2
related by: authorship_21563
crisid: 3750
type: Generically Dependent Continuant
date time value: article date 3750

RDF description of Electron dynamics inside a vacuum tube diode through linear differential equations - http://orbis.uaslp.mx/vivo/individual/scopus3749
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date: 2026-08-27T12:55:15
publisher: vivo
type: Document

Article
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Journal of Plasma Physics
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publication venue for: Electron dynamics inside a vacuum tube diode through linear differential equations
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Information Content Entity
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