NDLI: Conservation principles in multivelocity electron flow

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Year : 1962 Volume : 9

Year : 1961 Volume : 8

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Mylar electron beam windows

The magnetron as a negative-resistance amplifier

Super-saturated transistor switches

Conservation principles in multivelocity electron flow

Uniform turn-on in four-layer diodes

A millimicrosecond pulse-generator tube

Definition and determination of the series inductance of tunnel diodes

Impurity-density distribution in the base region of drift transistors

Closely spaced, aligned grids in vacuum tubes

Applications of cold-cathode parallel-field devices

Cerenkov radiation in slow-wave guiding structures

Single-transit, large radius E-type devices

Parametric amplifier with thermoelectric refrigeration

Equivalence of the collective and the corpuscular theories of noise in junction diodes

Electron-beam defocusing due to high-intensity RF fields

Constant-output-frequency, octave tuning range backward-wave parametric amplifier

Propagation in helical and narrow-band slow wave structures

Rapid determination of distribution of barium and strontium on vacuum tube surfaces

A simple two-element electron gun

Vapor-deposited polycrystalline silicon solar cells

The equivalent noise temperature of the tunnel cathode

Year : 1960 Volume : 7

Year : 1959 Volume : 6

Year : 1958 Volume : 5

Year : 1957 Volume : 4

Year : 1956 Volume : 3

Year : 1955 Volume : 2

Conservation principles in multivelocity electron flow

Content Provider	IEEE Xplore Digital Library
Author	Hok, G.
Copyright Year	1955
Abstract	This paper considers the extension of Poynting's theorem to an electron gas with a continuous distribution of velocities. In particular, an extension of the concept of "kinetic potential" is attempted, since this concept has proved itself very useful in the investigation of single-velocity flow. It is found that in three dimensions the electrokinetic-flow vector cannot be expressed as the product of the convection-current density and a single scalar quantity of the dimension potential. In one-dimensional applications, however, this circumstance is immaterial. Another difficulty is encountered when a small perturbation component on a steady state is considered. The nonlinear Bolzmann transport equation gives a linear equation between the first-order perturbations, but the nonlinearity makes possible a conversion of part of the perturbation power flow to dc power flow. In other words, the power flow associated with a single-frequency perturbation is not necessarily conserved in multivelocity flow, even in the absence of an ac Poynting vector. In the case of space-charge-limited flow in an electron gun, the consequence is that the cooling of an electron stream by adiabatic expansion can proceed beyond the potential minimum and very low noise temperatures are attainable in principle if the accelerating field is maintained small over an appreciable length of the electron gun.
Starting Page	452
Ending Page	461
Page Count	10
File Size	1051938
File Format	PDF
ISSN	00962430
Volume Number	8
Issue Number	6
Language	English
Publisher Date	1961-11-01
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Content Type	Text
Resource Type	Article
Subject	Electronic, Optical and Magnetic Materials Electrical and Electronic Engineering

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