Smoothly-varying hopping rates in driven flow with exclusion

Abstract

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.

RevTeX 4.1, 14 pages, 9 figures (published version)

References in corpus (27)

• Many-Body Physics with Ultracold Gases
• Nonequilibrium Steady States of Matrix Product Form: A Solver's Guide
• Exact Large Deviation Function in the Asymmetric Exclusion Process
• Bethe Ansatz Solution of the Asymmetric Exclusion Process with Open Boundaries
• The Totally Asymmetric Simple Exclusion Process with Langmuir Kinetics
• A pedestrian's view on interacting particle systems, KPZ universality, and random matrices
• Steady-state selection in driven diffusive systems with open boundaries
• Exact Spectral Gaps of the Asymmetric Exclusion Process with Open Boundaries
• Phase separation in disordered exclusion models
• Driven Lattice Gases with Quenched Disorder: Exact Results and Different Macroscopic Regimes
• Disordered asymmetric simple exclusion process: mean-field treatment
• Mean field approaches to the totally asymmetric exclusion process with quenched disorder and large particles
• Critical behavior and scaling in trapped systems
• Trap-size scaling in confined particle systems at quantum transitions
• Relaxation times in the ASEP model using a DMRG method
• Sample-Dependent Phase Transitions in Disordered Exclusion Models
• Signatures of critical full counting statistics in a quantum-dot chain
• Single-Bottleneck Approximation for Driven Lattice Gases with Disorder and Open Boundary Conditions
• Non-equilibrium processes: driven lattice gases, interface dynamics, and quenched disorder effects on density profiles and currents
• Gradient critical phenomena in the Ising quantum chain
• Exact joint density-current probability function for the asymmetric exclusion process
• Hydrodynamic mean field solutions of 1D exclusion processes with spatially varying hopping rates
• Changes in the gradient percolation transition caused by an Allee effect
• Correlation functions in the two-dimensional random-bond Ising model
• Critical exponents of planar gradient percolation
• Finite-size scaling behavior in trapped systems
• Monte Carlo Study of an Inhomogeneous Blume-Capel Model

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