Instead of the statistical averages found in eqns. (2.73) to
(2.75) and eqns. (2.90) to
(2.92) the following state variables are commonly used:
is the electron concentration, is the electron temperature, and is the
kurtosis. Eqn. (2.93) represents the normalization of the distribution
function chosen in this work. Formulation (2.94) will be explained in
more detail in Section 126.96.36.199 on
page . Eqn. (2.95) will be justified in
Section 188.8.131.52 on page .
Eqn. (2.96) is defined in analogy to the drift current eqn. (2.21).
Eqns. (2.97) and (2.98) are reasonable extensions of
the flux term to energy and kurtosis.
Introducing these new state variables leads to the final form of the transport equations:
M. Gritsch: Numerical Modeling of Silicon-on-Insulator MOSFETs PDF