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The slow-to-start mechanism is known to play an important role in the particular shape of the Fundamental diagram of traffic and to be associated to hysteresis effects of traffic flow.We study this question in the context of exclusion and…

Statistical Mechanics · Physics 2015-05-30 Cyril Furtlehner , Jean-Marc Lasgouttes , Maxim Samsonov

We develop a modified version of the totally asymmetric simple exclusion process (TASEP) and use it to reproduce flow on an escalator with two distinct lanes of pedestrian traffic. The model is used to compare strategies with two standing…

Cellular Automata and Lattice Gases · Physics 2020-07-15 Hiroki Yamamoto , Daichi Yanagisawa , Katsuhiro Nishinari

When particle flux is regulated by multiple factors such as particle supply and varying transport rate, it is important to identify the respective dominant regimes. We extend the well-studied totally asymmetric simple exclusion model to…

Statistical Mechanics · Physics 2013-10-30 L. Jonathan Cook , J. J. Dong , Alexander LaFleur

Recent advances in bottleneck studies have highlighted that different architectural adjustments at the exit may reduce the probability of clogging at the exit thereby enhancing the outflow of the individuals. However, those studies are…

Physics and Society · Physics 2019-03-27 Xiaomeng Shi , Zhirui Ye , Nirajan Shiwakoti , Dounan Tang , Junkai Lin

The TASEP (totally asymmetric simple exclusion process) is a basic model for an one-dimensional interacting particle system with non-reversible dynamics. Despite the simplicity of the model it shows a very rich and interesting behaviour. In…

Probability · Mathematics 2010-03-30 James Martin , Philipp Schmidt

We consider the one-dimensional partially asymmetric exclusion process with random hopping rates, in which a fraction of particles (or sites) have a preferential jumping direction against the global drift. In this case the accumulated…

Disordered Systems and Neural Networks · Physics 2009-11-10 R. Juhasz , L. Santen , F. Igloi

Multi-lane totally asymmetric simple exclusion processes with interactions between the lanes have recently been investigated actively. This paper proposes a two-lane model with extended Langmuir kinetics on a periodic lattice. Both…

Cellular Automata and Lattice Gases · Physics 2022-02-09 Hiroki Yamamoto , Shingo Ichiki , Daichi Yanagisawa , Katsuhiro Nishinari

We introduce the headway exclusion process which is an exclusion process with $N$ particles on the one-dimensional discrete torus with $L$ sites with jump rates that depend only on the distance to the next particle in the direction of the…

Probability · Mathematics 2025-08-19 V. Belitsky , N. P. N. Ngoc , G. M. Schütz

To better design safe and comfortable urban spaces, understanding the nature of human crowd movement is important. However, precise interactions among pedestrians are difficult to measure in the presence of their complex decision-making…

In an exclusion process with avalanches, when a particle hops to a neighboring empty site which is adjacent to an island the particle on the other end of the island immediately hops and if it joins another island this triggers another hop.…

Statistical Mechanics · Physics 2014-08-06 Uttam Bhat , P. L. Krapivsky

The collision-free velocity model is a microscopic pedestrian model, which despite its simplicity, reproduces fairly well several self-organization phenomena in pedestrian dynamics. The model consists of two components: a direction…

Physics and Society · Physics 2019-10-02 Qiancheng Xu , Mohcine Chraibi , Antoine Tordeux , Jun Zhang

Asymmetric exclusion processes with locally reversible kinetic constraints are introduced to investigate the effect of non-conservative driving forces in athermal systems. At high density they generally exhibit rheological-like behavior,…

Statistical Mechanics · Physics 2008-07-25 Mauro Sellitto

We investigate the adaptation of the time headways in car-following models as a function of the local velocity variance, which is a measure of the inhomogeneity of traffic flow. We apply this mechanism to several car-following models and…

Physics and Society · Physics 2007-08-08 Martin Treiber , Arne Kesting , Dirk Helbing

We consider a one-dimensional simple symmetric exclusion process in equilibrium, constituting a dynamic random environment for a nearest-neighbor random walk that on occupied/vacant sites has two different local drifts to the right. We…

Probability · Mathematics 2012-02-28 Luca Avena , Renato dos Santos , Florian Völlering

The appearance of traffic jams on chains with a shunted section between two simple chain segments in the maximum current phase is studied in the framework of the Totally Asymmetric Simple Exclusion Process. The conditions for the occurrence…

Statistical Mechanics · Physics 2015-09-30 N. Zh. Bunzarova , N. C. Pesheva , J. G. Brankov

We study the large space and time scale behavior of a totally asymmetric, nearest-neighbor exclusion process in one dimension with random jump rates attached to the particles. When slow particles are sufficiently rare the system has a phase…

Probability · Mathematics 2007-05-23 Ilie Grigorescu , Min Kang , Timo Seppalainen

Stochastic driven flow along a channel can be modeled by the asymmetric simple exclusion process. We confirm numerically the presence of a dynamic queuing phase transition at a nonzero obstruction strength, and establish its scaling…

Statistical Mechanics · Physics 2009-11-10 Meesoon Ha , Jussi Timonen , Marcel den Nijs

Exclusion processes became paradigmatic models of nonequilibrium interacting particle systems of wide range applicability both across the natural and the applied, social and technological sciences. Usually they are defined as a…

Statistical Mechanics · Physics 2018-06-26 J. Ricardo G. Mendonça

We numerically study jamming transitions in pedestrian flow interacting with an attraction, mostly based on the social force model for pedestrians who can join the attraction. We formulate the joining probability as a function of social…

Physics and Society · Physics 2017-09-05 Jaeyoung Kwak , Hang-Hyun Jo , Tapio Luttinen , Iisakki Kosonen

We introduce a new model to study the oscillations of opposite flows sharing a common bottleneck and moving on two Totally Asymmetric Simple Exclusion Process (TASEP) lanes. We provide a theoretical analysis of the phase diagram, valid when…

Statistical Mechanics · Physics 2012-06-15 Asja Jelić , Cécile Appert-Rolland , Ludger Santen