93-58 Derrida B., Janowsky S.A., Lebowitz J.L., Speer E.R.
Exact Solution of the Totally Asymmetric Simple Exclusion Process: Shock Profiles (77K, LaTeX) Mar 3, 93
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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.

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