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.

6 pages, 2 figures (4 eps files)

References in corpus (3)

• Phase Coexistence in Driven One Dimensional Transport
• The Totally Asymmetric Simple Exclusion Process with Langmuir Kinetics
• A Fiber Bundle Model of Traffic Jams

Cited by in corpus (3)

• 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