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Capacity drop is a traffic phenomenon in which the discharge flow from a queue is lower than the theoretical infrastructure capacity. This paper proposes a generic analytical method to estimate the queue discharge flow of freeway traffic.…

Physics and Society · Physics 2026-05-05 Yu Han , Pan Liu , Zhiyuan Liu , Ludovic Leclercq

Understanding pattern formation in crossing pedestrian flows is essential for analyzing and managing high-density crowd dynamics in urban environments. This study presents two complementary methodological approaches to detect and…

Physics and Society · Physics 2025-04-24 Piotr Nyczka , Pratik Mullick

Starting from the instability diagram of a traffic flow model, we derive conditions for the occurrence of congested traffic states, their appearance, their spreading in space and time, and the related increase in travel times. We discuss…

Physics and Society · Physics 2009-10-26 Dirk Helbing , Martin Treiber , Arne Kesting , Martin Schönhof

In our urbanised societies, the management and regulation of traffic and pedestrian flows is of considerable interest for public safety, economic development, and the conservation of the environment. However, modelling and controlling the…

Physics and Society · Physics 2025-11-17 Antoine Tordeux , Cécile Appert-Rolland , Alexandre Nicolas , Armin Seyfried , Denis Ullmo

Interaction between vehicles and pedestrians is seen in many areas such as crosswalks and intersections. In this paper, we study a totally asymmetric simple exclusion process with a bottleneck at a boundary caused by an interaction. Due to…

Physics and Society · Physics 2015-06-19 Hidetaka Ito , Katsuhiro Nishinari

The Social Force Model is one of the most prominent models of pedestrian dynamics. As such naturally much discussion and criticism has spawned around it, some of which concerns the existence of oscillations in the movement of pedestrians.…

Physics and Society · Physics 2015-07-10 Tobias Kretz

In this note, we study an obstacle problem for the elastic flow. We prove the local-in-time existence of weak solutions and discuss their relation to classical solutions when additional regularity is obtained. Related results concerning…

Analysis of PDEs · Mathematics 2025-12-29 Kensuke Yoshizawa

Despite the importance of urban traffic flows, there are only a few theoretical approaches to determine fundamental relationships between macroscopic traffic variables such as the traffic density, the utilization, the average velocity, and…

Physics and Society · Physics 2009-11-13 Dirk Helbing

Recent developments have created the ability to quantify information flow among components that interact in a dynamical system, and have led to significant advances in characterizing the dependence between the variables involved. In…

Data Analysis, Statistics and Probability · Physics 2023-09-27 Praveen Kumar

We investigate models in which blocking can interrupt a particulate flow process at any time. Filtration, and flow in micro/nano-channels and traffic flow are examples of such processes. We first consider concurrent flow models where…

Statistical Mechanics · Physics 2015-06-15 Andrea Gabrielli , Julian Talbot , Pascal Viot

Urban intersections are prone to delays and inefficiencies due to static precedence rules and occlusions limiting the view on prioritized traffic. Existing approaches to improve traffic flow, widely known as automatic intersection…

Robotics · Computer Science 2022-07-27 Marvin Klimke , Benjamin Völz , Michael Buchholz

We introduce a simple lattice model of traffic flow in a city where drivers optimize their route-selection in time in order to avoid traffic jams, and study its phase structure as a function of the density of vehicles and of the drivers'…

Statistical Mechanics · Physics 2015-06-24 A. De Martino , M. Marsili , R. Mulet

We study traffic flow on roads with a localized periodic inhomogeneity such as traffic signals, using a stochastic car-following model. We find that in cases of congestion, traffic flow can be optimized by controlling the inhomogeneity's…

Statistical Mechanics · Physics 2007-05-23 Elad Tomer , Leonid Safonov , Nilly Madar , Shlomo Havlin

This contribution investigates an original stochastic approach for the emergence of stop-and-go waves in traffic flow, a collective phenomenon with significant safety and environmental implications. Using a stable nonlinear car-following…

Physics and Society · Physics 2025-12-04 Raphael Korbmacher , Parthib Khound , Antoine Tordeux , Frank Gronwald

In recent years, several approaches for modelling pedestrian dynamics have been proposed and applied e.g. for design of egress routes. However, so far not much attention has been paid to their 'quantitative' validation. This unsatisfactory…

Physics and Society · Physics 2008-10-13 A. Seyfried , M. Boltes , J. Kähler , W. Klingsch , A. Portz , T. Rupprecht , A. Schadschneider , B. Steffen , A. Winkens

At the intersection of two unidirectional traffic flows a stripe formation instability is known to occur. In this paper we consider coupled time evolution equations for the densities of the two flows in their intersection area. We show…

Statistical Mechanics · Physics 2016-09-19 J. Cividini , H. J. Hilhorst

Driven particles in presence of crowded environment, obstacles or kinetic constraints often exhibit negative differential mobility (NDM) due to their decreased dynamical activity. We propose a new mechanism for complex many-particle systems…

Statistical Mechanics · Physics 2018-06-06 Amit Kumar Chatterjee , Urna Basu , P. K. Mohanty

Fluid turbulence is commonly associated with stronger drag, greater heat transfer, and more efficient mixing than in laminar flows. In many natural and industrial settings, turbulent liquid flows contain suspensions of dispersed bubbles and…

Fluid Dynamics · Physics 2020-05-29 Varghese Mathai , Detlef Lohse , Chao Sun

Intersections of pedestrian flows feature multiple types, varying in the numbers of flow directions as well as intersecting angles. In this article results from diverse bidirectional flow experiments with different intersecting angles are…

Physics and Society · Physics 2015-06-18 Jun Zhang , Armin Seyfried

We consider a system of coupled oscillators with finite inertia and time-delayed interaction, and investigate the interplay between inertia and delay both analytically and numerically. The phase velocity of the system is examined; revealed…

Statistical Mechanics · Physics 2009-11-07 H. Hong , Gun Sang Jeon , M. Y. Choi
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