title: Multiple-transit paths and density correlation functions in partially asymmetric simple exclusion process.
abstract: We consider the partially asymmetric simple exclusion process (PASEP) when its steady-state probability distribution function can be written in terms of a linear superposition of product measures with a finite number of shocks. In this case the PASEP can be mapped into an equilibrium walk model, defined on a diagonally rotated square lattice, in which each path of the walk model has several transits with the horizontal axis. We show that the multiple-point density correlation function in the PASEP is related to the probability that a path has multiple contacts with the horizontal axis from the above or below.
authors.affiliation: Physics Department, Bu-Ali Sina University, 65174-4161 Hamedan, Iran. farhad@ipm.ir
authors.forename: Farhad H
authors.initials: FH
authors.lastname: Jafarpour
authors.forename: Somayeh
authors.initials: S
authors.lastname: Zeraati