Bulk and surface transitions in asymmetric simple exclusion process: Impact on boundary layers

Abstract

In this paper, we study boundary-induced phase transitions in a particle non-conserving asymmetric simple exclusion process with open boundaries. Using boundary layer analysis, we show that the key signatures of various bulk phase transitions are present in the boundary layers of the density profiles. In addition, we also find possibilities of surface transitions in the low- and high- density phases. The surface transition in the low-density phase provides a more complete description of the non-equilibrium critical point found in this system.

9 pages including figures

References in corpus (6)

• Phase Coexistence in Driven One Dimensional Transport
• The Totally Asymmetric Simple Exclusion Process with Langmuir Kinetics
• Traffic of molecular motors through tube-like compartments
• Shock formation in an exclusion process with creation and annihilation
• Phase transitions in systems with two species of molecular motors
• Nonequilibrium Criticality at Shock Formation in Steady States

Cited by in corpus (13)

• Asymmetric coupling in two-lane simple exclusion process with Langmuir kinetics: phase diagrams and boundary layers
• Collective dynamics on a two-lane asymmetrically coupled TASEP with mutually interactive Langmuir Kinetics
• Collective dynamics of an inhomogeneous two-channel exclusion process: Theory and Monte Carlo simulations
• Fixed points and boundary layers in exclusion processes
• Phase-plane analysis of driven multi-lane exclusion models
• Phase coexistences and particle non-conservation in a closed asymmetric exclusion process with inhomogeneities
• Steady states and phase transitions in heterogeneous asymmetric exclusion processes
• Nonequilibrium steady states in a closed inhomogeneous asymmetric exclusion process with particle nonconservation
• Duality and phase diagram of one dimensional transport
• Shocks in asymmetric simple exclusion processes of interacting particles
• Multi-shocks in asymmetric simple exclusions processes: Insights from fixed-point analysis of the boundary-layers
• Nonequilibrium tricriticality in one dimension
• Renormalization group analysis for an asymmetric simple exclusion process