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Related papers: Modeling the polycentric transition of cities

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We present data from several German freeways showing different kinds of congested traffic forming near road inhomogeneities, specifically lane closings, intersections, or uphill gradients. The states are localized or extended, homogeneous…

Statistical Mechanics · Physics 2009-10-31 Martin Treiber , Ansgar Hennecke , Dirk Helbing

Urban traffic systems are characterized by dynamic interactions between congestion and free-flow states, influenced by human activity and road topology. This study employs percolation theory to analyze traffic dynamics in Seoul, focusing on…

Physics and Society · Physics 2025-02-25 Yongsung Kwon , Mi Jin Lee , Seung-Woo Son

Why does a traffic jams form out of nowhere, and why does it stretch for kilometers even after the initial cause is passed? This study examines how congestion moves and spreads across motorways using a surprisingly simple method: response…

Physics and Society · Physics 2025-08-15 Sebastian Gartzke , Shanshan Wang , Thomas Guhr , Michael Schreckenberg

In this paper we propose a new modeling technique for vehicular traffic flow, designed for capturing at a macroscopic level some effects, due to the microscopic granularity of the flow of cars, which would be lost with a purely continuous…

Mathematical Physics · Physics 2014-03-25 Emiliano Cristiani , Benedetto Piccoli , Andrea Tosin

Traffic congestion is usually observed at the upper streams of bottlenecks such as tunnels. Congestion appears as stop-and-go waves and high density uniform flow. We perform simulations of traffic flow with a bottleneck using the coupled…

Physics and Society · Physics 2007-05-23 Syohei Yamamoto , Yasuhiro Hieida , Shin-ichi Tadaki

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 prevalence of many urban phenomena changes systematically with population size. We propose a theory that unifies models of economic complexity and cultural evolution to derive urban scaling. The theory accounts for the difference in…

Physics and Society · Physics 2016-12-28 Andres Gomez-Lievano , Oscar Patterson-Lomba , Ricardo Hausmann

Urban traffic congestion is a chronic problem faced by many cities in the US and worldwide. It results in inefficient infrastructure use as well as increased vehicle fuel consumption and emission levels. Congestion is intertwined with…

Systems and Control · Electrical Eng. & Systems 2020-03-04 Youssef Bichiou , Maha Elouni , Hossam M. Abdelghaffar , Hesham A. Rakha

Operational urban transport models require to gather heterogeneous sets of data and often integrate different sub-models. Their systematic validation and reproducible application therefore remains problematic. We propose in this…

Physics and Society · Physics 2021-04-30 Juste Raimbault , Michael Batty

This paper investigates the mathematical modeling and the stability of multi-lane traffic in the microscopic scale, studying a model based on two interaction terms. To do this we propose simple lane changing conditions and we study the…

Classical Analysis and ODEs · Mathematics 2023-12-05 Matteo Piu , Gabriella Puppo

The dynamics of urban systems can be understood from an evolutionary perspective, in some sense extending biological and cultural evolution. Models for systems of cities implementing elementary evolutionary processes remain however to be…

Physics and Society · Physics 2020-05-01 Juste Raimbault

We demonstrate that the distribution of betweenness centrality (BC), a global structural metric based on network flow, is an invariant quantity in most planar graphs. We confirm this invariance through an empirical analysis of street…

Physics and Society · Physics 2018-07-04 Alec Kirkley , Hugo Barbosa , Marc Barthelemy , Gourab Ghoshal

We present a phase diagram of the different kinds of congested traffic that are triggered by disturbances when passing ramps or other spatial inhomogeneities of a freeway. The simulation results obtained by the nonlocal, gas-kinetic-based…

Statistical Mechanics · Physics 2009-10-31 Dirk Helbing , Ansgar Hennecke , Martin Treiber

We introduce a new conservation-based approach for traffic coordination modeling and control in a network of interconnected roads (NOIR) with switching movement phase rotations at every NOIR junction. For modeling of traffic evolution, we…

Systems and Control · Electrical Eng. & Systems 2022-04-13 Hossein Rastgoftar , Xun Liu , Jean-Baptiste Jeannin

Are there multiple equilibria in the spatial economy? This paper develops a unified framework that integrates systems of cities and regional models to address this question within a general geographic space. A key feature is the endogenous…

Theoretical Economics · Economics 2025-05-01 Gianandrea Lanzara , Matteo Santacesaria

Recent empirical studies have reported that spatiotemporal congestion clusters in urban traffic exhibit scale-free statistics, with cluster size following a power-law distribution. In this study, we address whether macroscopic continuum…

Physics and Society · Physics 2026-04-08 Yuki Chiba , Norikazu Saito , Yuki Ueda , Hiroaki Yoshida

We perform a multifractal analysis of the evolution of London's street network from 1786 to 2010. First, we show that a single fractal dimension, commonly associated with the morphological description of cities, does not su ce to capture…

Physics and Society · Physics 2015-12-23 Roberto Murcio , A. Paolo Masucci , Elsa Arcaute , Michael Batty

Public urban mobility systems are composed by several transportation modes connected together. Most studies in urban mobility and planning often ignore the multi-layer nature of transportation systems considering only aggregated versions of…

Physics and Society · Physics 2019-02-07 Alberto Aleta , Sandro Meloni , Yamir Moreno

The increasing rate of urbanization has added pressure on the already constrained transportation networks in our communities. Ride-sharing platforms such as Uber and Lyft are becoming a more commonplace, particularly in urban environments.…

Computer Science and Game Theory · Computer Science 2018-03-01 Chinmaya Samal , Liyuan Zheng , Fangzhou Sun , Lillian J. Ratliff , Abhishek Dubey

Car traffic in urban systems has been studied intensely in past decades but models are either limited to a specific aspect of traffic or applied to a specific region. Despite the importance and urgency of the problem we have a poor…

Physics and Society · Physics 2019-09-11 Vincent Verbavatz , Marc Barthelemy