Accession Number:

AD0261673

Title:

CONSERVATION PRINCIPLES IN MULTIVELOCITY ELECTRON FLOW

Descriptive Note:

Corporate Author:

MICHIGAN UNIV ANN ARBOR INST OF SCIENCE AND TECHNOLOGY

Personal Author(s):

Report Date:

1961-06-01

Pagination or Media Count:

1.0

Abstract:

This analysis considers the extension of Poyntings 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

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Distribution Statement:

APPROVED FOR PUBLIC RELEASE