A multi-species asymmetric exclusion process;steady state and correlation functions on a periodic lattice

Abstract

By generalizing the algebra of operators of the Asymmetric Simple Exclusion Process (ASEP), a multi-species ASEP in which particles can overtake each other,is defined on both open and closed one dimensional chains. On the ring the steady state and the correlation functions are obtained exactly. The relation to particle hopping models of traffic and the possibility of shock waves in open systems is discussed. The effect of the boundary condition on the steady state properties of the bulk is studied.

References added, typos corrected

References in corpus (4)

• Coherent Moving States in Highway Traffic (Originally: Moving Like a Solid Block)
• Cellular Automata Simulating Experimental Properties of Traffic Flows
• A multi-species asymmetric simple exclusion process and its relation to traffic flow
• Stationary Velocity Distributions in Traffic Flows

Cited by in corpus (13)

• Traffic and Related Self-Driven Many-Particle Systems
• Nonequilibrium Steady States of Matrix Product Form: A Solver's Guide
• Critical phenomena and universal dynamics in one-dimensional driven diffusive systems with two species of particles
• An algebraic construction of duality functions for the stochastic U_q(A_n^{(1)}) vertex model and its degenerations
• Matrix product approach for the asymmetric random average process
• Dynamical phase transition of a 1D transport process including death
• An interacting spin flip model for one-dimensional proton conduction
• A mass transport model with a simple non-factorized steady-state distribution
• Dynamical Critical Exponent for Two-Species Totally Asymmetric Diffusion on a Ring
• TASEP Speed Process: An Effective Medium Approach
• Matrix Product States for Interacting Particles without Hardcore Constraints
• Statistics of overtakes by a tagged agent
• A Multi-Species Asymmetric Exclusion Model with an Impurity