Theory of a Configurational emf

A configuration emf refers to an electrical manifestation in the electron gas of the analog of the Bernoulli effect for fluid flow. A theoretical account of this phenomenon is given. The object of the theory is to present a description of the effect from first principles which in this instance is taken as the Boltzmann transport equation. The transport equation is solved for a two-band (holes and electrons) Fermi particle system. The solutions are carried beyond first order so as to exhibit the effect. It is shown that the form of the emf is, indeed, extractable from the Boltzmann equation. And its magnitude is obtained in terms of a coefficient $C$ for which a formula is given in terms of familiar current carrier parameters.