Multi-shocks in asymmetric simple exclusions processes: Insights from fixed-point analysis of the boundary-layers

Abstract

The boundary-induced phase transitions in an asymmetric simple exclusion process with inter-particle repulsion and bulk non-conservation are analyzed through the fixed points of the boundary layers. This system is known to have phases in which particle density profiles have different kinds of shocks. We show how this boundary-layer fixed-point method allows us to gain physical insights on the nature of the phases and also to obtain several quantitative results on the density profiles especially on the nature of the boundary-layers and shocks.

12 pages, 8 figures

References in corpus (3)

• The Totally Asymmetric Simple Exclusion Process with Langmuir Kinetics
• Duality and phase diagram of one dimensional transport
• Shocks in asymmetric simple exclusion processes of interacting particles

Cited by in corpus (4)

• Phase coexistences and particle non-conservation in a closed asymmetric exclusion process with inhomogeneities
• Nonequilibrium steady states in a closed inhomogeneous asymmetric exclusion process with particle nonconservation
• Steady states and phase transitions in heterogeneous asymmetric exclusion processes
• Universal interpretation of efficacy parameter in perturbed nonequilibrium systems