Some properties of the diffusion coefficient for asymmetric simple exclusion processes

On the Symmetry of the Diffusion Coefficient in Asymmetric Simple Exclusion

We prove the symmetry of the diffusion coefficient that appears in the fluctuation-dissipation theorem for asymmetric simple exclusion processes. Mathematics Subject Classification (2000): Primary 60K35; secondary 82C22

Two-Channel Totally Asymmetric Simple Exclusion Processes

Totally asymmetric simple exclusion processes, consisting of two coupled parallel lattice chains with particles interacting with hard-core exclusion and moving along the channels and between them, are considered. In the limit of strong coupling between the channels, the particle currents, density profiles and a phase diagram are calculated exactly by mapping the system into an effective one-cha...

Symmetric Simple Exclusion Process: Regularity of the Self Diffusion Coefficient

Shocks in asymmetric simple exclusion processes of interacting particles.

In this paper, we study shocks and related transitions in asymmetric simple exclusion processes of particles with nearest-neighbor interactions. We consider two kinds of interparticle interactions. In one case, the particle-hole symmetry is broken due to the interaction. In the other case, particles have an effective repulsion due to which the particle current density drops down near one-half f...

Local inhomogeneity in asymmetric simple exclusion processes with extended objects

Totally asymmetric simple exclusion processes (TASEP) with particles which occupy more than one lattice site and with a local inhomogeneity far away from the boundaries are investigated. These non-equilibrium processes are relevant for the understanding of many biological and chemical phenomena. The steady-state phase diagrams, currents and bulk densities are calculated using a simple approxima...