Derive energy and drift-diffusion equations from Boltzmann transport

[minywall1]

Boltzmann transport equation & drift-diffusion equation ~ Plz help me!

1.
From the Boltzmann transport equation,
derive the energy conservation equation for mass conserving particles.
Use the momentum equation to subtract the mechanical energy component,
and then derive the equation for thermal energy conservation.


2.
Assuming the local thermodynamic equilibrium (i.e. df/dx = dfo/dx)
derive the drift-diffusion equation for charge flow.

 

[wasia]

Derivation is really easy, you only need some vector calculus identities. However, the full thing is
here.