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As a typical self-driven many-particle system far from equilibrium, traffic flow exhibits diverse fascinating non-equilibrium phenomena, most of which are closely related to traffic flow stability and specifically the growth/dissipation…

Adaptation and Self-Organizing Systems · Physics 2015-06-18 Rui Jiang , Mao-Bin Hu , H. M. Zhang , Zi-You Gao , Bin Jia , Qing-Song Wu , Bing Wang , Ming Yang

In this paper, a simple 1D crowd model is proposed, which aim is to properly describe the crowd-flow phenomena occurring when pedestrians walk on a flexible footbridge. The crowd is assumed to behave like a continuous compressible fluid and…

Classical Physics · Physics 2009-01-13 Joanna Bodgi , Silvano Erlicher , Pierre Argoul

Experimental results for congested pedestrian traffic are presented. For data analysis we apply a method providing measurements on an individual scale. The resulting velocity-density relation shows a coexistence of moving and stopping…

Physics and Society · Physics 2010-06-18 A. Seyfried , A. Portz , A. Schadschneider

Pedestrian behavior has much more complicated characteristics in a dense crowd and thus attracts the widespread interest of scientists and engineers. However, even successful modeling approaches such as pedestrian models based on particle…

Multiagent Systems · Computer Science 2014-04-11 Qi Xu , Baohua Mao , Xujie Feng , Jia Feng

In this work we numerically investigate the flow conditions inside uniform and non-uniform street canyons well within the atmospheric boundary layer. The numerical simulations use the steady RANS method with the near-wall modelling approach…

Fluid Dynamics · Physics 2021-03-15 P. P. Pancholy , K. Clemens , P. Geoghegan , M. Jermy , M. Moyers-Gonzalez , P. L. Wilson

Understanding and modeling the dynamics of pedestrian crowds can help with designing and increasing the safety of civil facilities. A key feature of crowds is its intrinsic stochasticity, appearing even under very diluted conditions, due to…

Physics and Society · Physics 2017-03-22 Alessandro Corbetta , Chung-min Lee , Roberto Benzi , Adrian Muntean , Federico Toschi

A simple model to handle the flow of people in emergency evacuation situations is considered: at every point x, the velocity U(x) that individuals at x would like to realize is given. Yet, the incompressibility constraint prevents this…

Analysis of PDEs · Mathematics 2010-02-04 Bertrand Maury , Aude Roudneff-Chupin , Filippo Santambrogio

In this paper we propose a novel macroscopic (fluid dynamics) model for describing pedestrian flow in low and high density regimes. The model is characterized by the fact that the maximal density reachable by the crowd - usually a fixed…

Dynamical Systems · Mathematics 2025-04-03 Laura Bartoli , Simone Cacace , Emiliano Cristiani , Roberto Ferretti

Spatiotemporal features and physics of vehicular traffic congestion occurring due to heavy freeway bottlenecks caused by bad weather conditions or accidents are found based on simulations in the framework of three-phase traffic theory. A…

Physics and Society · Physics 2007-12-12 Boris S. Kerner

It is shown that a channel flow of a dilute polymer solution between two widely spaced cylinders hindering the flow is an important paradigm of an unbounded flow in the case in which the channel wall is located sufficiently far from the…

Fluid Dynamics · Physics 2017-05-12 Atul Varshney , Victor Steinberg

The fundamental diagram of pedestrian dynamics gives the relation between the density and the flow within a specific enclosure. It is characterized by two distinctive behaviors: the free-flow regime (for low densities) and the congested…

Physics and Society · Physics 2019-09-25 I. M. Sticco , G. A. Frank , F. E. Cornes , C. O. Dorso

We investigate the effect of groups on a bi-directional flow, by using novel computational methods. Our focus is on self-organisation phenomena, and more specifically on the time needed for the occurrence of pedestrian lanes, their…

Physics and Society · Physics 2019-10-11 Francesco Zanlungo , Luca Crociani , Zeynep Yücel , Takayuki Kanda

We investigate the electrical current and flow (number of parallel paths) between two sets of n sources and n sinks in complex networks. We derive analytical formulas for the average current and flow as a function of n. We show that for…

Discrete Mathematics · Computer Science 2008-11-17 Shai Carmi , Zhenhua Wu , Shlomo Havlin , H. Eugene Stanley

Through the development of a microscopic deterministic model in the framework of three-phase traffic theory, microscopic features of vehicle overacceleration, which determines the occurrence of the metastability of free traffic flow at a…

Physics and Society · Physics 2025-04-22 Boris S. Kerner , Sergey L. Klenov

For any graph having a suitable uniform Poincare inequality and volume growth regularity, we establish two-sided Gaussian transition density estimates and parabolic Harnack inequality, for constant speed continuous time random walks…

Probability · Mathematics 2018-12-04 Amir Dembo , Ruojun Huang , Tianyi Zheng

It is shown that the branch of the empirical fundamental diagram for congested traffic strongly depends both on the type of the congested pattern at a freeway bottleneck and on the freeway location where the fundamental diagram is measured.…

Statistical Mechanics · Physics 2007-05-23 Boris S. Kerner

In this paper we systematically apply the mathematical structures by time-evolving measures developed in a previous work to the macroscopic modeling of pedestrian flows. We propose a discrete-time Eulerian model, in which the space…

Mathematical Physics · Physics 2009-07-02 Benedetto Piccoli , Andrea Tosin

When suspended particles are pushed by liquid flow through a constricted channel they might either pass the bottleneck without trouble or encounter a permanent clog that will stop them forever. However, they may also flow intermittently…

Fluid Dynamics · Physics 2020-07-01 Mathieu Souzy , Iker Zuriguel , Alvaro Marin

The transition between low and high density phases is a typical feature of systems with social interactions. This contribution focuses on simple evacuation design of one room with one entrance and one exit; four passing-through experiments…

Multiagent Systems · Computer Science 2016-01-27 Marek Bukáček , Pavel Hrabák , Milan Krbálek

Intersections are the bottlenecks of the urban road system because an intersection's capacity is only a fraction of the flows that the roads connecting to the intersection can carry. This capacity can be increased if vehicles can cross the…

Dynamical Systems · Mathematics 2017-02-02 Jennie Lioris , Ramtin Pedarsani , Fatma Yildiz Tascikaraoglu , Pravin Varaiya
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