Following Onsager's general formalism, the electron and hole current
densities,
and
, and the
heat fluxes of the individual subsystems,
,
, and
, are related to
the gradients of the state variables by a 15
15 matrix:
The 3 3 sub matrices
depend on the
quasi-static magnetic field
. Those kinetic
coefficients, better known as transport matrices
,
are computed taking into account the reciprocity fact of
Onsager's theorem and assuming cubic or higher spatial symmetry
of the semiconductor medium. A general structure is as follows:
The coefficients
,
, and
can be given as a parametrization of physical quantities, accessible by
measurement and commonly used for the characterization of material
properties [7,8]. These are the electric
conductivities
and
, the thermal conductivities
,
, and
, and the coefficients describing
the thermoelectric, galvanomagnetic, and thermomagnetic effects, namely
the thermopowers
and
, the Hall coefficients
and
, the Nernst coefficients
and
, and the
Righi-Leduc coefficients
and
[22,37,44].
Rodrigo Torres 2003-03-26