From the heat flow equation, derived in problem 8.7, obtain the following simplified equation for heat flow in a stationary (u = 0) electron gas:

State all the assumptions necessary to obtain this result.

Data from problem 8.7.

Consider the general transport equation of the previous problem and let the property χ(r, v, t) be the random flux of thermal kinetic energy, that is,

Show that (considering the Lorentz force for F)

Using these results in the general transport equation, derive the following equation, known as the heat flow equation,

Data from problem 8.6.

Derive the following general transport equation, similar to (2.13), for the case when the quantity χ depends on r, v, and t,

Equation 2.13

Transcribed Image Text:

бре, 2 Pe ·Pme + $ce (qe x B) = + Sqe St coll