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Based on numerical simulations of a three-phase traffic flow model, a probabilistic theory of traffic at the light signal is developed. We have found that very complex spatiotemporal self-organized phenomena determine features of city…

Physics and Society · Physics 2012-11-13 Boris S. Kerner

The capacity of a street segment quantifies the maximal density of vehicles before congestion arises. Here we show in a simple mathematical model that fluctuations in the instantaneous number of vehicles entering a street segment are…

Physics and Society · Physics 2021-05-31 Verena Krall , Max F. Burg , Malte Schröder , Marc Timme

We experimentally investigate the clogging and jamming of interacting paramagnetic colloids driven through a quenched disordered landscape of fixed obstacles. When the particles are forced to cross a single aperture between two obstacles,…

Soft Condensed Matter · Physics 2017-12-15 Ralph L. Stoop , Pietro Tierno

Jamming is a phenomenon occurring in systems as diverse as traffic, colloidal suspensions and granular materials. A theory on the reversible elastic deformation of jammed states is presented. First, an explicit granular stress-strain…

Soft Condensed Matter · Physics 2009-11-10 Yimin Jiang , Mario Liu

In transportation systems (e.g. highways, railways, airports), traffic flows with distinct origin-destination pairs usually share common facilities and interact extensively. Such interaction is typically stochastic due to natural…

Optimization and Control · Mathematics 2019-08-06 Li Jin , Yining Wen

We consider the security-by-design of a signal-free intersection for connected and autonomous vehicles in the face of strategic jamming attacks. We use a fluid model to characterize macroscopic traffic flow through the intersection, where…

Optimization and Control · Mathematics 2022-09-20 Yumeng Bai , Saurabh Amin , Xudong Wang , Li Jin

Motivated by an analogy with traffic, we simulate two species of particles (`vehicles'), moving stochastically in opposite directions on a two-lane ring road. Each species prefers one lane over the other, controlled by a parameter $0 \leq b…

Statistical Mechanics · Physics 2007-05-23 B. Schmittmann , J. Krometis , R. K. P. Zia

Many disordered systems experience a transition from a fluid-like state to a solid-like state following a sudden arrest in dynamics called jamming. In contrast to jamming in spatially homogeneous systems, jamming in hoppers occurs under…

Soft Condensed Matter · Physics 2012-12-04 Shubha Tewari , Michal Dichter , Bulbul Chakraborty

We study the problem of distributed traffic control in the partitioned plane, where the movement of all entities (robots, vehicles, etc.) within each partition (cell) is coupled. Establishing liveness in such systems is challenging, but…

Robotics · Computer Science 2015-03-13 Taylor T. Johnson , Sayan Mitra

We consider a one-dimensional traffic model with a slow-to-start rule. The initial position of the cars in $\mathbb R$ is a Poisson process of parameter $\lambda$. Cars have speed 0 or 1 and travel in the same direction. At time zero the…

Probability · Mathematics 2020-06-24 Pablo A. Ferrari , Leonardo T. Rolla

Despite extensive progress in characterizing the emergent behavior of active matter, the microscopic origins of self-diffusion in interacting active systems remain poorly understood. Here, we develop a framework that quantitatively links…

Soft Condensed Matter · Physics 2026-01-21 Akinlade Akintunde , Stewart A. Mallory

The transport of self-propelled particles such as bacteria and phoretic swimmers through crowded heterogeneous environments is relevant to many natural and engineering processes, from biofilm formation and contamination processes to…

Fluid Dynamics · Physics 2019-04-10 Roberto Alonso-Matilla , Brato Chakrabarti , David Saintillan

Jamming, or dynamical arrest, is a transition at which many particles stop moving in a collective manner. In nature it is brought about by, for example, increasing the packing density, changing the interactions between particles, or…

Statistical Mechanics · Physics 2009-11-11 Paolo De Gregorio , Aonghus Lawlor , Phil Bradley , Kenneth A. Dawson

Recently research on bubble and its burst attract much interest of researchers in various field such as economics and physics. Economists have been regarding bubble as a disorder in prices. However, this research strategy has overlooked an…

Physics and Society · Physics 2015-05-19 Katsuhiro Nishinari , Mitsuru Iwamura , Yukiko Umeno Saito , Tsutomu Watanabe

Accurate traffic participant prediction is the prerequisite for collision avoidance of autonomous vehicles. In this work, we predict pedestrians by emulating their own motion planning. From online observations, we infer a mixture density…

Computer Vision and Pattern Recognition · Computer Science 2017-06-21 Eike Rehder , Florian Wirth , Martin Lauer , Christoph Stiller

The theory of a jamming transition is proposed for the homogeneous car-following model within the framework of Lorenz scheme. We represent a jamming transition as a result of the spontaneous deviations of headway and velocity that is caused…

Statistical Mechanics · Physics 2009-10-31 A. I. Olemskoi , A. V. Khomenko

We show that dispersion in propulsion strength qualitatively alters collective behavior of active multi-particle systems interacting via short-range attractive potential, giving rise to novel ordered phases that combine spatial and…

Statistical Mechanics · Physics 2026-01-07 Debraj Dutta , Urna Basu

Mixing and transport of passive particles are studied in a simple kinematic model of a meandering jet flow motivated by the problem of lateral mixing and transport in the Gulf Stream. We briefly discuss a model streamfunction, Hamiltonian…

Chaotic Dynamics · Physics 2012-05-29 S. V. Prants , M. V. Budyansky , M. Yu. Uleysky , G. M. Zaslavsky

Increasing the crowding in an environment does not necessarily trigger negative differential mobility of strongly pushed particles. Moreover, the choice of the model, in particular the kind of microscopic jump rates, may be very relevant in…

Statistical Mechanics · Physics 2015-10-13 Marco Baiesi , Attilio L. Stella , Carlo Vanderzande

The clogging behavior of a symmetric binary mixture of particles that are driven in opposite directions through constrictions is explored by Brownian dynamics simulations and theory. A dynamical state with a spontaneously broken symmetry…

Soft Condensed Matter · Physics 2016-12-28 Tobias Glanz , Raphael Wittkowski , Hartmut Löwen
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