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We use a very simple description of human driving behavior to simulate traffic. The regime of maximum vehicle flow in a closed system shows near-critical behavior, and as a result a sharp decrease of the predictability of travel time. Since…

adap-org · Physics 2008-02-03 Nagel K , Rasmussen S

We study the collective dynamics of a lattice model of stochastically interacting agents with a weighted field of vision. We assume that agents preferentially interact with neighbours, depending on their relative location, through velocity…

Statistical Mechanics · Physics 2024-06-11 Shakti N. Menon , Trilochan Bagarti , Abhijit Chakraborty

Based on a detailed microscopic test scenario motivated by recent empirical studies of single-vehicle data, several cellular automaton models for traffic flow are compared. We find three levels of agreement with the empirical data: 1)…

Statistical Mechanics · Physics 2009-11-10 Wolfgang Knospe , Ludger Santen , Andreas Schadschneider , Michael Schreckenberg

We introduce the first extension of a Lattice Gas Automaton (LGA) model to accurately replicate observed emergent phenomena in granular materials with a special focus on previously unexplored jamming transitions by incorporating…

Soft Condensed Matter · Physics 2023-09-04 M. Gaber , Raquel H. Ribeiro , J. Kozicki

Nuclear pore complexes are constantly confronted by large fluxes of macromolecules and macromolecular complexes that need to get into and out of the nucleus. Such bi-directional traffic occurring in a narrow channel can easily lead to…

Biological Physics · Physics 2008-07-22 Ruti Kapon , Alon Topchik , David Mukamel , and Ziv Reich

We study the urban-scale macroscopic traffic flow in city networks. Star graph is considered as traffic network. Star graphs with controlled traffic flow are transformed to various cell-transmission graphs by using the cell transmission…

Adaptation and Self-Organizing Systems · Physics 2019-12-10 Takashi Nagatani

This paper develops a neural jamming phase diagram that interprets the emergence of consciousness in large language models as a critical phenomenon in high-dimensional disordered systems.By establishing analogies with jamming transitions in…

Disordered Systems and Neural Networks · Physics 2025-07-14 Kaichen Ouyang

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 analyze the structure and dynamics in the low-density phase of the deterministic two-dimensional cellular automaton model of traffic flow introduced in [O. Biham, A.A. Middleton and D. Levine, Phys. Rev. A 46, R6124 (1992)]. The model…

Cellular Automata and Lattice Gases · Physics 2026-02-03 Gilad Hertzberg Rabinovich , Ofer Biham , Eytan Katzav

The rule 184 fuzzy cellular automaton is regarded as a mathematical model of traffic flow because it contains the two fundamental traffic flow models, the rule 184 cellular automaton and the Burgers equation, as special cases. We show that…

Pattern Formation and Solitons · Physics 2020-04-14 Kohei Higashi , Junkichi Satsuma , Tetsuji Tokihiro

Jamming describes a transition from a flowing or liquid state to a solid or rigid state in a loose assembly of particles such as grains or bubbles. In contrast, clogging describes the ceasing of the flow of particulate matter through a…

Soft Condensed Matter · Physics 2018-09-25 H. Peter , A. Libal , C. Reichhardt , C. J. O. Reichhardt

Traffic waves are phenomena that emerge when the vehicular density exceeds a critical threshold. Considering the presence of increasingly automated vehicles in the traffic stream, a number of research activities have focused on the…

We demonstrate the existence of high--order jamming crossovers in systems of particles with repulsive contact interactions, which originate from the collapse of successive coordination shells. At zero temperature, these crossovers induce an…

Soft Condensed Matter · Physics 2014-01-21 Massimo Pica Ciamarra , Peter Sollich

A multi--cluster model of traffic flow is studied, in which the motion of cars is described by a stochastic master equation. Assuming that the escape rate from a cluster depends only on the cluster size, the dynamics of the model is…

Statistical Mechanics · Physics 2009-11-11 J. Kaupuzs , R. Mahnke , R. J. Harris

We develop a microscopic theory to analyze the phase behaviour and compute correlation functions of dense assemblies of soft repulsive particles both at finite temperature, as in colloidal materials, and at vanishing temperature, a…

Disordered Systems and Neural Networks · Physics 2011-11-09 Ludovic Berthier , Hugo Jacquin , Francesco Zamponi

We investigate the dynamical transition from free-flow to jammed traffic, which is related to the divergence of the relaxation time and susceptibility of the energy dissipation rate $E_d$, in the Nagel-Schreckenberg (NS) model with two…

Cellular Automata and Lattice Gases · Physics 2011-03-01 Wei Zhang , Wei Zhang , Wei Chen

In modern transportation systems, traffic congestion is inevitable. To minimize the loss caused by congestion, various control strategies have been developed most of which rely on observing real-time traffic conditions. As vintage traffic…

Systems and Control · Electrical Eng. & Systems 2020-02-11 Suyash C. Vishnoi , Sebastian A. Nugroho , Ahmad F. Taha , Christian Claudel , Taposh Banerjee

Based on the statistical evaluation of experimental single-vehicle data, we propose a quantitative interpretation of the erratic scattering of flow-density data in synchronized traffic flows. A correlation analysis suggests that the…

Statistical Mechanics · Physics 2009-11-07 Katsuhiro Nishinari , Martin Treiber , Dirk Helbing

A traffic system is a random and complex large system, which is difficult to conduct repeated modelling and control research in a real traffic environment. With the development of automatic driving technology, the requirements for testing…

Robotics · Computer Science 2023-08-01 Junfeng Li , Changqing Yan

Traffic flows are studied in terms of their noise of sound, which is an easily accessible experimental quantity. The sound noise data is studied making use of scaling properties of wavelet transforms and Hurst exponents are extracted. The…

Data Analysis, Statistics and Probability · Physics 2009-11-11 B. -S. Skagerstam , A. Hansen