2011/04/30 by R. B. Stinchcombe, R B Stinchcombe, S. L. A. de Queiroz · 16 citations
Mathematics · Physics and Astronomy · #Adiabatic process #Asymmetric simple exclusion process #Balanced flow #Boundary (topology) #Boundary value problem #Computer science #Constant (computer programming) #Flow (mathematics) #Markov Chains and Monte Carlo Methods #Mathematical analysis #Mathematics #Mechanics #Periodic boundary conditions #Physics #Position (finance) #Simple (philosophy) #Statistical physics #Steady state (chemistry) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Thermodynamics #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.83.061113
published in Physical Review E 83(6), 061113 (American Physical Society) · RevTeX 4.1, 14 pages, 9 figures (published version)
openalex publication_date 2011/06/13 · arxiv created 2011/06/14 · arxiv updated 2011/06/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider the one-dimensional totally asymmetric simple exclusion process (TASEP) with position-dependent hopping rates. The problem is solved, in a mean-field adiabatic approximation, for a general (smooth) form of spatial rate variation. Numerical simulations of systems with hopping rates varying linearly against position (constant rate gradient), for both periodic and open-boundary conditions, provide detailed confirmation of theoretical predictions, concerning steady-state average density profiles and currents, as well as open-system phase boundaries, to excellent numerical accuracy.