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Experimental studies on vehicular traffic provide data on quantities like density, flux, and mean speed of the vehicles. However, the diagrams relating these variables (the fundamental and speed diagrams) show some peculiarities not yet…

Numerical Analysis · Mathematics 2016-03-01 Gabriella Puppo , Matteo Semplice , Andrea Tosin , Giuseppe Visconti

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 significant number of those killed in traffic accidents annually refers to pedestrians. most of these accidents occur when a pedestrian is going to pass the street. One of the most hazardous areas for pedestrians crossing the street is…

Physics and Society · Physics 2021-01-27 Ali Mansour Khaki , Amin Mohammadnazar

Although it is widely recognised that the presence of groups influences microscopic and aggregated pedestrian dynamics, a precise characterisation of the phenomenon still calls for evidences and insights. The present paper describes micro…

Multiagent Systems · Computer Science 2017-11-23 Luca Crociani , Andrea Gorrini , Claudio Feliciani , Giuseppe Vizzari , Katsuhiro Nishinari , Stefania Bandini

We introduce a bottleneck method for learning data representations based on information deficiency, rather than the more traditional information sufficiency. A variational upper bound allows us to implement this method efficiently. The…

Information Theory · Computer Science 2020-11-05 Pradeep Kr. Banerjee , Guido Montúfar

Discrete pedestrian simulation models are viable alternatives to particle based approaches based on a continuous spatial representation. The effects of discretisation, however, also imply some difficulties in modelling certain phenomena…

Multiagent Systems · Computer Science 2014-02-03 Stefania Bandini , Luca Crociani , Giuseppe Vizzari

This study investigates the complex dynamic interactions between two typed populations coexisting within a shared space. We propose both theoretical and numerical study to analyze scenarios where one population (population $1$) must…

Analysis of PDEs · Mathematics 2025-01-28 Mariam Al Khatib , Said Gounane , Noureddine Igbida , Ghadir Jradi

The pedestrian flow is one of the most complex systems, involving large populations of interacting agents. Models at microscopic and macroscopic scales offer different advantages for studying related problems. In general, microscopic models…

Adaptation and Self-Organizing Systems · Physics 2026-01-27 Liangze Yang , Hui Yu , Jie Du

When two streams of pedestrians cross at an angle, striped patterns spontaneously emerge as a result of local pedestrian interactions. This clear case of self-organized pattern formation remains to be elucidated. In counterflows, with a…

Pedestrians often need to decide between different routes they can use to reach their intended destinations, both during emergencies and in their daily lives. This route-choice behavior is important in determining traffic management,…

Physics and Society · Physics 2019-12-19 Hongliu Li , Jun Zhang , Long Xia , Weiguo Song , Nikolai W. F. Bode

We present an experimental investigation of the pressure dynamics during the flow of self-propelled particles through narrow passages. When the ensemble is flowing, pressure fluctuates around a constant value that does not depend on the…

Other Condensed Matter · Physics 2026-01-09 N Colantuono , M Ramdan Ferressini , I Zuriguel , DR Parisi , GA Patterson

Energy transport can reveal information about interacting many-body systems beyond other transport probes. In particular, in one dimension it has been shown that the energy current is directly proportional to the central charge, thus…

Strongly Correlated Electrons · Physics 2020-05-27 Sonja Fischer , Christoph Karrasch , Dirk Schuricht , Lars Fritz

Since the beginning of the century, capturing trajectories of pedestrian streams precisely from video recordings has been possible. To enable measurements at high density, the heads of the pedestrians are marked and tracked, thus providing…

Physics and Society · Physics 2025-06-24 Juliane Adrian , Ann Katrin Boomers , Sarah Paetzke , Armin Seyfried

Recent studies of the tunnelling through two opaque barriers claim that the transit time is independent of the barrier widths and of the separation distance between the barriers. We observe, in contrast, that if multiple reflections are…

Quantum Physics · Physics 2007-05-23 Stefano De Leo , Pietro Rotelli

By means of a novel variational approach and using dual maps techniques and general ideas of dynamical system theory we derive exact results about several models of transport flows, for which we also obtain a complete description of their…

Chaotic Dynamics · Physics 2007-05-23 Michael Blank

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 recent years modelling crowd and evacuation dynamics has become very important, with increasing huge numbers of people gathering around the world for many reasons and events. The fact that our global population grows dramatically every…

Physics and Society · Physics 2015-01-28 Mohamed H. Dridi

In high-density crowds, close proximity between pedestrians makes the steady state highly vulnerable to disruption by pushing behaviours, potentially leading to serious accidents. However, the scarcity of experimental data has hindered…

Physics and Society · Physics 2024-12-31 Qiancheng Xu , Ezel Üsten , Ahmed Alia , Biao He , Renzhong Guo , Mohcine Chraibi

The main topic of this paper is the analysis and modeling of stop-and-go waves, observable in experiments of single lane movement with pedestrians. The velocity density relation using measurements on a 'microscopic' scale shows the…

Physics and Society · Physics 2010-03-30 Andrea Portz , Armin Seyfried

The demixing of a binary fluid mixture, under gravity, is a two stage process. Initially droplets, or in general aggregates, grow diffusively by collecting supersaturation from the bulk phase. Subsequently, when the droplets have grown to a…

Statistical Mechanics · Physics 2014-12-01 Martin Rohloff , Tobias Lapp , Jürgen Vollmer