Derrida B., Janowsky S.A., Lebowitz J.L., Speer E.R.
Microscopic Shock Profiles: Exact Solution of a Nonequilibrium System
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ABSTRACT.  The full microscopic structure of macroscopic shocks is obtained exactly
in the one dimensional totally asymmetric simple exclusion process from
the complete solution of the uniform stationary nonequilibrium state of
a system containing two types of particles---``first'' and ``second''
class.  The width of the shock as seen from a second class particle
diverges as the inverse square of its strength when the latter goes to
zero.  In that limit the steady state exhibits long range correlations
and weakly bound states of second class particles.