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We analyze the component evolution in inhomogeneous random intersection graphs when the average degree is close to 1. As the average degree increases, the size of the largest component in the random intersection graph goes through a phase…

Discrete Mathematics · Computer Science 2013-01-31 Milan Bradonjić , Aric Hagberg , Nicolas W. Hengartner , Nathan Lemons , Allon G. Percus

Phase transitions abound in nature and society, and, from species extinction to stock market collapse, their prediction is of widespread importance. In earlier work we showed that Global Transfer Entropy, a general measure of information…

Statistical Mechanics · Physics 2021-04-12 Joshua Brown , Terry Bossomaier , Lionel Barnett

The Nagel-Schreckenberg traffic flow model shows a transition from a free flow regime to a jammed regime for increasing car density. The measurement of the dynamical structure factor offers the chance to observe the evolution of jams…

Statistical Mechanics · Physics 2009-10-31 L. Roters , S. Lubeck , K. D. Usadel

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

Recent studies show that volume fractions $\phiJ$ at the jamming transition of frictionless hard spheres and discs are not uniquely determined but exist over a continuous range. Motivated by this observation, we numerically investigate…

Soft Condensed Matter · Physics 2012-11-20 Misaki Ozawa , Takeshi Kuroiwa , Atsushi Ikeda , Kunimasa Miyazaki

The beam energy dependence of the elliptic flow,$v_2$, is studied in mid-central Au+Au collisions in the energy range of $3\leq \sqrt{s_{NN}} \leq 30$ GeV within the microscopic transport model JAM. The results of three different modes of…

Nuclear Theory · Physics 2018-04-04 Yasushi Nara , Harri Niemi , Akira Ohnishi , Jan Steinheimer , Xiaofeng Luo , Horst Stoecker

We use computer simulations to analyse the yielding transition during large-amplitude oscillatory shear of a simple model for soft jammed solids. Simultaneous analysis of global mechanical response and particle-scale motion demonstrates…

Soft Condensed Matter · Physics 2016-09-07 Takeshi Kawasaki , Ludovic Berthier

Most car-following models show a transition from laminar to ``congested'' flow and vice versa. Deterministic models often have a density range where a disturbance needs a sufficiently large critical amplitude to move the flow from the…

Statistical Mechanics · Physics 2007-05-23 Kai Nagel , Christopher Kayatz , Peter Wagner

Jamming crossovers occur at zero temperature in assemblies of particles interacting via finite range repulsive potentials, when on increasing the density particles make contacts with those of subsequent coordination shells. Density…

Soft Condensed Matter · Physics 2013-09-03 Massimo Pica Ciamarra , Peter Sollich

The effect of inclusion of higher-order interactions in the {\it XY} model on critical properties is studied by Monte Carlo simulations. It is found that an increasing number of the higher-order terms in the Hamiltonian modifies the shape…

Statistical Mechanics · Physics 2018-05-07 Milan Žukovič

In this work we study the effect of a traffic light system on the flow of a single lane road by proposing a traffic model based on a cellular automaton that also includes behavioral considerations. We focus on the macroscopic…

Physics and Society · Physics 2021-02-03 A. Chacoma , M. N. Kuperman , G. Abramson

We present experimental results obtained for a one-dimensional flow using high precision motion capture. The full pedestrians' trajectories are obtained. In this paper, we focus on the fundamental diagram, and on the relation between the…

Physics and Society · Physics 2012-03-30 Asja Jelić , Cécile Appert-Rolland , Samuel Lemercier , Julien Pettré

We derive a conservation law on a network made of two incoming branches and a single outgoing one from a discrete traffic flow model. The continuous model is obtained from the discrete one by letting the number of vehicles tend to infinity…

Analysis of PDEs · Mathematics 2024-09-04 P Cardaliaguet

The simulation of vehicular traffic as well as pedestrian dynamics meanwhile both have a decades long history. The success of this conference series, PED and others show that the interest in these topics is still strongly increasing. This…

Multiagent Systems · Computer Science 2009-11-17 Cornelia Boenisch , Tobias Kretz

Traffic jams are an everyday hindrance to transport, and typically arise when many vehicles have the same or a similar destination. We show, however, that even when uniformly distributed in space and uncorrelated, targets have a crucial…

Statistical Mechanics · Physics 2022-01-05 Mathias Casiulis , Daniel Hexner , Dov Levine

We report on grain dynamics versus depth for steady-state gravity-driven flow of grains along a heap formed between two parallel sidewalls. Near the surface the flow is steady and fast, while far below there is no flow whatsoever;…

Soft Condensed Matter · Physics 2010-11-03 H. Katsuragi , A. R. Abate , D. J. Durian

Empirical and numerical microscopic features of moving traffic jams are presented. Based on a single vehicle data analysis, it is found that within wide moving jams, i.e., between the upstream and downstream jam fronts there is a complex…

Physics and Society · Physics 2009-11-11 Boris S. Kerner , Sergey L. Klenov , Andreas Hiller , Hubert Rehborn

A model for traffic flow in street networks or material flows in supply networks is presented, that takes into account the conservation of cars or materials and other significant features of traffic flows such as jam formation, spillovers,…

Fluid Dynamics · Physics 2016-08-14 Dirk Helbing , Jan Siegmeier , Stefan Lämmer

Geometrical properties of two-dimensional mixtures near the jamming transition point are numerically investigated using harmonic particles under mechanical training. The configurations generated by the quasi-static compression and…

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