The kinetic modeling
of low-pressure ($p\sim 1{-}10$ torr) stationary nitrogen discharges and
the corresponding afterglows is reviewed. It is shown that a good description of the overall
behavior of nitrogen plasmas requires a deep understanding of the coupling
between different kinetics. The central role is played
by ground-state vibrationally excited molecules,
N2$(X\ ^1\Sigma_g^+,v)$, which have a strong influence
on the shape of the electron energy distribution
function, on the creation and destruction
of electronically excited states, on the gas heating,
dissociation and on afterglow emissions. N2$(X\ ^1\Sigma_g^+,v)$ molecules
are actually the hinge ensuring a strong link between the various kinetics.
The noticeable task done by electronically excited metastable molecules, in
particular N2$(A\ ^3\Sigma_u^+)$ and
N2$(a^\prime\ ^1\Sigma_u^-)$, is also pointed out. Besides contributing
to the same phenomena as vibrationally excited molecules,
these electronic metastable states play also a categorical role in ionization.
Furthermore, vibrationally excited
molecules in high v levels are in the origin of the peaks observed
in the flowing afterglow for the concentrations of
several species, such as N2$(A\ ^3\Sigma_g^+)$, N2$(B\ ^3\Pi_g)$,
N2+$(B\ ^2\Sigma_u^+)$ and electrons, which occur downstream from the
discharge after a dark zone as a consequence of the V-V pumping-up
mechanism.