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

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

1993-03-23

arxiv.org/abs/hep-lat/9303011v1

Physics

High Energy Physics

High Energy Physics - Lattice

LATEX-file, 32 pages, Weizmann preprint WIS/93/01/Jan-PH

Scientific paper

10.1103/PhysRevE.47.4265

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 results with predictions from dynamical scaling and discuss some conjectures for other exclusion models.

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