A second-class particle in an exclusion-type particle system is a particle
with lower priority than the regular particles. It is the microscopic
analogue of the shocks and characteristics of the macroscopic p.d.e. of
the system. Through a variational coupling representation of the
exclusion process, a second class particle can also be represented by a
variational formula that involves a model of increasing sequences.
From this representation one can derive laws of large numbers and bounds
on the fluctuations and large deviations of a second class particle.
As a corollary of the large deviation estimate one gets variance bounds
for the occupation time of a site in equilibrium asymmetric exclusion.