Time-dependent correlation functions in a one-dimensional asymmetric exclusion process

Gunter Schütz
1993 Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics  
We study a one-dimensional anisotropic exclusion process describing particles injected at the origin, moving to the right on a chain of L sites and being removed at the (right) boundary. We construct the steady state and compute the density profile, exact expressions for all equal-time n-point density correlation functions and the time-dependent two-point function in the steady state as functions of the injection and absorption rates. We determine the phase diagram of the model and compare our
more » ... esults with predictions from dynamical scaling and discuss some conjectures for other exclusion models.
doi:10.1103/physreve.47.4265 pmid:9960503 fatcat:nrxvr3z65zh4lnoc2oc344noye