Duality and phase diagram of one dimensional transport

Abstract

The observation of duality by Mukherji and Mishra in one dimensional transport problems has been used to develop a general approach to classify and characterize the steady state phase diagrams. The phase diagrams are determined by the zeros of a set of coarse-grained functions without the need of detailed knowledge of microscopic dynamics. In the process, a new class of nonequilibrium multicritical points has been identified.

arXiv comment6 pages, 2 figures (4 eps files)

References in corpus (12)

• Phase transitions in an exactly soluble one-dimensional exclusion process
• Phase Coexistence in Driven One Dimensional Transport
• The Totally Asymmetric Simple Exclusion Process with Langmuir Kinetics
• Shock formation in an exclusion process with creation and annihilation
• Localization of shocks in driven diffusive systems without particle number conservation
• Driven Lattice Gases with Quenched Disorder: Exact Results and Different Macroscopic Regimes
• Steady State and Dynamics of Driven Diffusive Systems with Quenched Disorder
• Disordered asymmetric simple exclusion process: mean-field treatment
• Hysteresis in one-dimensional reaction-diffusion systems
• Nonequilibrium Criticality at Shock Formation in Steady States
• Bulk and surface transitions in asymmetric simple exclusion process: Impact on boundary layers
• A Fiber Bundle Model of Traffic Jams

Cited by in corpus (9)

• Failure Processes in Elastic Fiber Bundles
• 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
• Nonequilibrium steady states in a closed inhomogeneous asymmetric exclusion process with particle nonconservation
• Steady states and phase transitions in heterogeneous asymmetric exclusion processes
• 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