15 December 2017 2 3K Report

I saw in a paper that the current in a metal is sigma (conductivity=e*mu*n) multiplied by dk/dx where k is the electrochemical energy (or fermi energy).

It seems to me that it is some kind of a generalized ohm's law (j=sigma*E) where the electric field is 1/e*dk/dx.

My questions are these:

# Is it truely a generalized ohm's law or is it comes from other more fundamental law?

# Is this law valid for semiconductors and/or outside equilibrium (steady state, external applied voltage)?

# I couldn't find anything on this equation and I'll be grateful if someone could direct me to some books referring this equation.

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