Totally Asymmetric Exclusion Process with Hierarchical Long-Range Connections

Abstract

A non-equilibrium particle transport model, the totally asymmetric exclusion process, is studied on a one-dimensional lattice with a hierarchy of fixed long-range connections. This model breaks the particle-hole symmetry observed on an ordinary one-dimensional lattice and results in a surprisingly simple phase diagram, without a maximum-current phase. Numerical simulations of the model with open boundary conditions reveal a number of dynamic features and suggest possible applications.

10 pages, revtex4, reorganized, with some new analytical results. For related articles, see http://www.physics.emory.edu/faculty/boettcher/

References in corpus (8)

• Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
• Self Organization and a Dynamical Transition in Traffic Flow Models
• Phase transitions in an exactly soluble one-dimensional exclusion process
• Emergent Traffic Jams
• Hierarchical, Regular Small-World Networks
• Anomalous Diffusion on the Hanoi Networks
• Totally asymmetric exclusion process with long-range hopping
• Generic principles of active transport

Cited by in corpus (5)

• Fixed Point Properties of the Ising Ferromagnet on the Hanoi Networks
• Quantum Transport through Hierarchical Structures
• Asymmetric Simple Exclusion Process on a Cayley Tree
• Asymmetric simple exclusion process in one-dimensional chains with long-range links
• Dynein-inspired multilane exclusion process with open boundary conditions