Phase transition and phase coexistence in coupled rings with driven exclusion process

Abstract

We study one-dimensional exclusion processes in two coupled closed rings consisting of a common diffusive channel and two parallel active (driven) channels. Our model displays bulk-driven phase transition and phase coexistence in the form of a localised domain wall (DW) in one of the active channels in a limit where the diffusive and driven dynamics compete. By controlling a splitting parameter which tunes the in-coming currents into the active channels, the system can be brought to a delocalisation transition, when delocalised DWs are formed in both the active channels. We characterise the DW fluctuations numerically.

arXiv comment8 pages,8 eps figures

References in corpus (9)

• The density-matrix renormalization group
• Non-equilibrium statistical mechanics: From a paradigmatic model to biological transport
• Phase Coexistence in Driven One Dimensional Transport
• Modeling Translation in Protein Synthesis with TASEP: A Tutorial and Recent Developments
• Fluctuation-Driven Molecular Transport in an Asymmetric Membrane Channel
• Ribosome recycling, diffusion, and mRNA loop formation in translational regulation
• Competition between Multiple Totally Asymmetric Simple Exclusion Processes for a Finite Pool of Resources
• Bulk-driven non-equilibrium phase transitions in a mesoscopic ring
• Domain wall delocalization, dynamics and fluctuations in an exclusion process with two internal states

Cited by in corpus (4)

• Marching on a rugged landscape: Universality in disordered asymmetric exclusion processes
• Generic nonequilibrium steady states in an exclusion process on an inhomogeneous ring
• The asymmetric simple exclusion process on chains with a shortcut revisited
• Asymmetric exclusion processes on a closed network with bottlenecks