Consider the general transport equation of the previous problem and let the property (r, v, t) be

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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

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