The inversion of (2.4) will give us a better representation of the driving forces with respect to the fluxes. Making use of all the definitions given in the previous chapter, the current relations can be rewritten in a very compact formulation.
An expansion of
and
in terms of electric potential
, carrier concentrations,
and temperature reveals that actually drift, chemical diffusion, and
thermal diffusion appear as driving forces. The deflection that
the magnetic field causes on electric and thermal currents is reflected
by vector products with
. Solving
(2.14) for the current density
yields
The current density
reads
Rodrigo Torres 2003-03-26