Rigorous Solution of Electron Transport Phenomena in Gases

A rigorous method is presented to obtain the velocity distribution function $F(c, \theta )$ for free electrons in gases in quasistationary and quasiuniform cases. It is based on the introduction of a particular distribution function $f_0\left(c_0\right)$ relevant to the "initial" speeds of successive paths taken by an electron. The "usual" distribution function $F(c, \theta )$ can then be obtained from the "initial" distribution function $f_0\left(c_0\right)$ by an integration.