EXACT SOLUTION OF THE TOTALLY ASYMMETRIC SIMPLE EXCLUSION PROCESS - SHOCK PROFILES

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 conta ining two types of particles-''first'' and ''second'' class. This none quilibrium steady state factorizes about any second-class particle, wh ich implies factorization in the one-component system about the (rando m) shock position. It also exhibits several other interesting features , including long-range correlations in the limit of zero density of th e second-class particles. The solution also shows that a finite number of second-class particles in a uniform background of first-class part icles form a weakly bound state.