
Accession Number : AD0261673
Title : CONSERVATION PRINCIPLES IN MULTIVELOCITY ELECTRON FLOW
Corporate Author : MICHIGAN UNIV ANN ARBOR INST OF SCIENCE AND TECHNOLOGY
Personal Author(s) : HOK,GUNNAR
Report Date : JUN 1961
Pagination or Media Count : 1
Abstract : This analysis 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 singlevelocity flow. It is found that in three dimensions the electrokinetic flow vector cannot be expressed as the product of the convectioncurrent density and a single scalar quantity of the dimension potential. In onedimensional applications, however, this circumstance is immaterial. Another difficulty is encountered when a small perturbation component on a steady state is considered. The nonlinear Boltzmann transport equation gives a linear equation between the firstorder 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 singlefrequency perturbation is not necessarily conserved in multivelocity flow, even in the absence of an ac Poynting vector. (Author)
Descriptors : *ELECTRON GUNS, *TRANSPORT PROPERTIES, ELECTROMAGNETIC RADIATION, ELECTRONS, KINETIC THEORY, MATHEMATICAL ANALYSIS, PARTIAL DIFFERENTIAL EQUATIONS, PARTICLES, VELOCITY
Distribution Statement : APPROVED FOR PUBLIC RELEASE