Derrida B., Janowsky S.A., Lebowitz J.L., Speer E.R.
Exact Solution of the Totally Asymmetric Simple Exclusion
Process: Shock Profiles
(77K, LaTeX)

ABSTRACT.  The microscopic structure of macroscopic shocks in the
one dimensional totally asymmetric simple exclusion process is obtained
exactly from the complete solution of the stationary state of a model
system containing two types of particles---``first'' and ``second''
class.  This nonequilibrium steady state factorizes about any second
class particle, which implies factorization in the one component system
about the (random) shock position.  It also exhibits several other
interesting features, including long range correlations in the limit of
zero density of the second class particles.  The solution also shows
that a finite number of second class particles in a uniform background
of first class particles form a weakly bound state.