2008/05/09 by Ruili Wang, Mingzhe Liu, Rui Jiang
Computer Science · Mathematics · Physics and Astronomy · #Asymmetric simple exclusion process #Boundary (topology) #Cellular Automata and Applications #Chain (unit) #Diagram #Field (mathematics) #Flow (mathematics) #Mathematical analysis #Mathematics #Mechanics #Non-equilibrium thermodynamics #Phase (matter) #Phase diagram #Physics #Quantum mechanics #Stationary state #Statistical physics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #physics.bio-ph
paper · pdf · doi:10.1103/physreve.77.051108
published as Phys. Rev. E, 77, 051108 (2008) · 8 pages, 7 figures
openalex publication_date 2008/05/09 · arxiv created 2008/09/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper, we investigate the dynamics of synchronous totally asymmetric exclusion processes on lattices with a multiple-input-single-output (MISO) junction, which consists of m subchains for the input and one main chain for the output. A MISO junction is a type of complex geometry that is relevant to many biological processes as well as vehicular and pedestrian traffic flow. A mean-field approach is developed to deal with the junction that connects the subchains and the main chain. Theoretical results for stationary particle currents, density profiles, and a phase diagram have been obtained. It is found that the phase boundary moves toward the left in the phase diagram with an increase of the number of subchains. The nonequilibrium stationary states, stationary-state phases, and phase boundaries are determined by the boundary conditions of the system as well as by the number of subchains. The density profiles obtained from computer simulations show very good agreement with our theoretical analysis.