Zone clearance in an infinite TASEP with a step initial condition
arXiv:1701.06129 · doi:10.1088/1751-8121/aa72d4
Abstract
The TASEP is a paradigmatic model of out-of-equilibrium statistical physics, for which many quantities have been computed, either exactly or by approximate methods. In this work we study two new kinds of observables that have some relevance in biological or traffic models. They represent the probability for a given clearance zone of the lattice to be empty (for the first time) at a given time, starting from a step density profile. Exact expressions are obtained for single-time quantities, while more involved history-dependent observables are studied by Monte Carlo simulation, and partially predicted by a phenomenological approach.
References in corpus (18)
- Statistical Physics of Vehicular Traffic and Some Related Systems
- Shape Fluctuations and Random Matrices
- Non-equilibrium statistical mechanics: From a paradigmatic model to biological transport
- Asymptotics in ASEP with Step Initial Condition
- Exact Solution of the Master Equation for the Asymmetric Exclusion Process
- A pedestrian's view on interacting particle systems, KPZ universality, and random matrices
- Exact Results for the Asymmetric Simple Exclusion Process with a Blockage
- Intracellular transport driven by cytoskeletal motors: General mechanisms and defects
- Fluctuations of the one-dimensional asymmetric exclusion process using random matrix techniques
- Asymmetric Simple Exclusion Process and Modified Random Matrix Ensembles
- Dynamics of a tagged particle in the asymmetric exclusion process with the step initial condition
- Current fluctuations for TASEP: A proof of the Prähofer--Spohn conjecture
- Two time distribution in Brownian directed percolation
- Transport on a Lattice with Dynamical Defects
- Non-Markovian Models of Blocking in Concurrent and Countercurrent Flows
- Totally asymmetric simple exclusion process with a time-dependent boundary: interaction between vehicles and pedestrians at intersections
- A bottleneck model for bidirectional transport controlled by fluctuations
- TASEP on parallel tracks: effects of mobile bottlenecks in fixed segments