Shocks in asymmetric simple exclusion processes of interacting particles

Abstract

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 inter-particle 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 the half filling. These interacting particles move on a one dimensional lattice which is open at both the ends with injection of particles at one end and withdrawal of particles at the other. In addition to this, there are possibilities of attachments or detachments of particles to or from the lattice with certain rates. The hydrodynamic equation that involves the exact particle current-density of the particle conserving system and additional terms taking care of the attachment-detachment kinetics is studied using the techniques of boundary layer analysis.

10 pages, 8 figures

References in corpus (10)

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Cited by in corpus (5)

• Microtubule length dependence of motor traffic in cells
• Coupling driven exclusion and diffusion processes on parallel lanes: boundary induced phase transitions and boundary layers
• Domain wall of the totally asymmetric exclusion process without particle number conservation
• Multi-shocks in asymmetric simple exclusions processes: Insights from fixed-point analysis of the boundary-layers
• Nonequilibrium tricriticality in one dimension