Nonequilibrium Criticality at Shock Formation in Steady States

Abstract

The steady state shock formation in processes like nonconserving asymmetric simple exclusion processes in varied situations is shown to be a nonequilibrium critical phenomenon. The diverging length scales and the quantitative description of the transition including the phase boundary are obtained from a few general properties of the dynamics without relying on specific details.

corrected typos

References in corpus (6)

• Phase Coexistence in Driven One Dimensional Transport
• Traffic of molecular motors through tube-like compartments
• Shock formation in an exclusion process with creation and annihilation
• Localization of shocks in driven diffusive systems without particle number conservation
• Phase transitions in systems with two species of molecular motors
• Spontaneous Symmetry Breaking in a Non-Conserving Two-Species Driven Model

Cited by in corpus (22)

• Nonequilibrium Steady States of Matrix Product Form: A Solver's Guide
• Physics of Transport and Traffic Phenomena in Biology: from molecular motors and cells to organisms
• A dynamically extending exclusion process
• Phase diagram of two-lane driven diffusive systems
• Theoretical investigation of synchronous totally asymmetric exclusion processes on lattices with multiple-input-single-output junctions
• Dynamic Boundaries in Asymmetric Exclusion Processes
• Bulk and surface transitions in asymmetric simple exclusion process: Impact on boundary layers
• Dynamical Transition in the Open-boundary Totally Asymmetric Exclusion Process
• 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
• Phase segregation and transport in a two species multi-lane system
• The effect of detachment and attachment to a kink motion in the asymmetric simple exclusion process
• Steady states and phase transitions in heterogeneous asymmetric exclusion processes
• Nonequilibrium steady states in a closed inhomogeneous asymmetric exclusion process with particle nonconservation
• Multi shocks in Reaction-diffusion models
• Duality and phase diagram of one dimensional transport
• Shocks in asymmetric simple exclusion processes of interacting particles
• Coupling driven exclusion and diffusion processes on parallel lanes: boundary induced phase transitions and boundary layers
• 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