PMID- 22181082 OWN - NLM STAT- PubMed-not-MEDLINE DCOM- 20120612 LR - 20111220 IS - 1550-2376 (Electronic) IS - 1539-3755 (Linking) VI - 84 IP - 4 Pt 1 DP - 2011 Oct TI - Driven k-mers: correlations in space and time. PG - 041102 AB - Steady-state properties of hard objects with exclusion interaction and a driven motion along a one-dimensional periodic lattice are investigated. The process is a generalization of the asymmetric simple exclusion process (ASEP) to particles of length k, and is called the k-ASEP. Here, we analyze both static and dynamic properties of the k-ASEP. Density correlations are found to display interesting features, such as pronounced oscillations in both space and time, as a consequence of the extended length of the particles. At long times, the density autocorrelation decays exponentially in time, except at a special k-dependent density when it decays as a power law. In the limit of large k at a finite density of occupied sites, the appropriately scaled system reduces to a nonequilibrium generalization of the Tonks gas describing the motion of hard rods along a continuous line. This allows us to obtain in a simple way the known two-particle distribution for the Tonks gas. For large but finite k, we also obtain the leading-order correction to the Tonks result. FAU - Gupta, Shamik AU - Gupta S AD - Department of Theoretical Physics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India. FAU - Barma, Mustansir AU - Barma M FAU - Basu, Urna AU - Basu U FAU - Mohanty, P K AU - Mohanty PK LA - eng PT - Journal Article DEP - 20111003 PL - United States TA - Phys Rev E Stat Nonlin Soft Matter Phys JT - Physical review. E, Statistical, nonlinear, and soft matter physics JID - 101136452 EDAT- 2011/12/21 06:00 MHDA- 2011/12/21 06:01 CRDT- 2011/12/21 06:00 PHST- 2011/06/20 00:00 [received] PHST- 2011/08/14 00:00 [revised] PHST- 2011/12/21 06:00 [entrez] PHST- 2011/12/21 06:00 [pubmed] PHST- 2011/12/21 06:01 [medline] AID - 10.1103/PhysRevE.84.041102 [doi] PST - ppublish SO - Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Oct;84(4 Pt 1):041102. doi: 10.1103/PhysRevE.84.041102. Epub 2011 Oct 3.