# 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