title: Long-range correlations in a locally driven exclusion process.
abstract: We show that the presence of a driven bond in an otherwise diffusive lattice gas with simple exclusion interaction results in long-range density-density correlation in its stationary state. In dimensions d > 1 we show that in the thermodynamic limit this correlation decays as C(r,s)∼(r(2)+s(2))(-d) at large distances r and s away from the drive with |r - s| ≫ 1. This is derived using an electrostatic analogy whereby C(r,s) is expressed as the potential due to a configuration of electrostatic charges distributed in 2d dimension. At bulk density ρ=1/2 we show that the potential is that of a localized quadrupolar charge. At other densities the same is correct in leading order in the strength of the drive and it is argued numerically to be valid at higher orders.
authors.affiliation: Institut de Physique Théorique, CEA/Saclay, Gif-sur-Yvette Cedex, France.
authors.forename: Tridib
authors.initials: T
authors.lastname: Sadhu
authors.affiliation: Université Paris-Sud, CNRS, LPTMS, UMR 8626, Orsay F-01405, France.
authors.forename: Satya N
authors.initials: SN
authors.lastname: Majumdar
authors.affiliation: Physics of Complex Systems, Weizmann Institute of Science, Rehovot 7610001, Israel.
authors.forename: David
authors.initials: D
authors.lastname: Mukamel
mesh_terms: D008962:Models, Theoretical; D013816:Thermodynamics