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 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 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 first-order perturbations, but the nonlinearity makes possible a conversion of part of the perturbation power flow to d-c 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 a-c 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