Totally asymmetric simple exclusion process with local resetting and open boundary conditions

Abstract

We study a totally asymmetric simple exclusion process with open boundary conditions and local resetting at the injection node. We investigate the stationary state of the model, using both mean-field approximation and kinetic Monte Carlo simulations, and identify three regimes, depending on the way the resetting rate scales with the lattice size. The most interesting regime is the intermediate resetting one, as in the case of periodic boundary conditions. In this regime we find pure phases and phase separation phenomena, including a low-density/high-density phase separation, which was not possible with periodic boundary conditions. We discuss density profiles, characterizing bulk regions and boundary layers, and nearest-neighbour covariances, finding a remarkable agreement between mean-field and simulation results. The stationary state phase diagram is mapped out analytically at the mean-field level, but we conjecture that it may be exact in the thermodynamic limit. We also briefly discuss the large resetting regime, which exhibits an inverse characteristic length scale diverging logarithmically with the lattice size.

arXiv comment23 pages, 15 figures

References in corpus (25)

• Nonequilibrium Steady States of Matrix Product Form: A Solver's Guide
• Stochastic Resetting and Applications
• Non-equilibrium statistical mechanics: From a paradigmatic model to biological transport
• Phase Coexistence in Driven One Dimensional Transport
• Bethe Ansatz Solution of the Asymmetric Exclusion Process with Open Boundaries
• Experimental realization of diffusion with stochastic resetting
• The Totally Asymmetric Simple Exclusion Process with Langmuir Kinetics
• Optimal mean first-passage time for a Brownian searcher subjected to resetting: experimental and theoretical results
• Shock formation in an exclusion process with creation and annihilation
• Localization of shocks in driven diffusive systems without particle number conservation
• Asymmetric exclusion process with next-nearest-neighbor interaction: some comments on traffic flow and a nonequilibrium reentrance transition
• Intracellular transport driven by cytoskeletal motors: General mechanisms and defects
• Symmetric Exclusion Process under Stochastic Resetting
• Bottleneck-induced transitions in a minimal model for intracellular transport
• Slowest relaxation mode of the partially asymmetric exclusion process with open boundaries
• Classical Driven Transport in Open Systems with Particle Interactions and General Couplings to Reservoirs
• One-dimensional transport of interacting particles: Currents, density profiles, phase diagrams and symmetries
• Diffusive transport on networks with stochastic resetting to multiple nodes
• Diffusion with Local Resetting and Exclusion
• Dynamical Transition in the Open-boundary Totally Asymmetric Exclusion Process
• Smooth or shock: universality in closed inhomogeneous driven single file motions
• Simple Exclusion Processes with Local Resetting
• Dynamical transition in the TASEP with Langmuir kinetics: mean-field theory
• Unbalanced Langmuir kinetics affects TASEP dynamical transitions: mean-field theory
• Dynamical transitions in a driven diffusive model with interactions