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Related papers: Statistical Physics of Traffic Flow

200 papers

Traffic dynamics is universally crucial in analyzing and designing almost any network. This article introduces a novel theoretical approach to analyzing network traffic dynamics. This theory's machinery is based on the notion of traffic…

Multiagent Systems · Computer Science 2024-04-05 Matin Macktoobian , Zhan Shu , Qing Zhao

We derive macroscopic traffic equations from specific gas-kinetic equations, dropping some of the assumptions and approximations made in previous papers. The resulting partial differential equations for the vehicle density and average…

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

Density fluctuations in traffic current are studied by computer simulations using the deterministic coupled map lattice model on a closed single-lane circuit. By calculating a power spectral density of temporal density fluctuations at a…

chao-dyn · Physics 2009-10-28 S. Yukawa , M. Kikuchi

Anticipation in traffic means that drivers estimate their leaders' velocities for future timesteps. In the article a specific stochastic car--following model with non--unique flow--density relation is investigated with respect to…

Statistical Mechanics · Physics 2009-11-10 Nils Eissfeldt , Peter Wagner

We investigate the behaviour of an original traffic model. The model considers a single multi-lane street, populated by autonomous vehicles directed from either end to the other. Lanes have no intrinsic directionality, and the vehicles are…

Computational Physics · Physics 2007-05-23 Federico Polito , Fergal Dalton

Within the continuous endeavour of improving the efficiency and resilience of air transport, the trend of using concepts and metrics from statistical physics has recently gained momentum. This scientific discipline, which integrates…

Data Analysis, Statistics and Probability · Physics 2025-07-29 Felipe Olivares , Massimiliano Zanin

A novel constructive mathematical model based on the multifractal formalism in order to accurately characterizing the localized fluctuations present in the course of traffic flows today high-speed computer networks is presented. The…

Networking and Internet Architecture · Computer Science 2021-06-29 G. Millán , G. Lefranc , R. Osorio-Comparán

We study a minimal model of traffic flows in complex networks, simple enough to get analytical results, but with a very rich phenomenology, presenting continuous, discontinuous as well as hybrid phase transitions between a free-flow phase…

Statistical Mechanics · Physics 2015-05-13 Daniele De Martino , Luca Dall'Asta , Ginestra Bianconi , Matteo Marsili

Every driver knows that severe weather conditions cause traffic congestions. In many cases there is no direct reason for the congestion, and people tend to attribute it to the slow driving mode. Our computational study shows that the slow…

Chaotic Dynamics · Physics 2008-12-15 Azi Lipshtat

Knowledge of fundamental traffic flow characteristics of traffic simulation models is an essential requirement when using these models for the planning, design, and operation of transportation systems. In this paper we discuss the…

In recent works, we have proposed a stochastic cellular automaton model of traffic flow connecting two exactly solvable stochastic processes, i.e., the Asymmetric Simple Exclusion Process and the Zero Range Process, with an additional…

Statistical Mechanics · Physics 2009-05-19 Masahiro Kanai , Katsuhiro Nishinari , Tetsuji Tokihiro

Floating car data of car-following behavior in cities were compared to existing microsimulation models, after their parameters had been calibrated to the experimental data. With these parameter values, additional simulations have been…

Statistical Mechanics · Physics 2009-10-31 Dirk Helbing , Benno Tilch

A generalized optimal velocity model is analyzed, where the optimal velocity function depends not only on the headway of each car but also the headway of the immediately preceding one. The stability condition of the model is derived by…

Pattern Formation and Solitons · Physics 2009-11-07 Shiro Sawada

As a healthy and green transportation mode, cycling has been advocated by many governments. However, compared with vast amounts of works on vehicle flow and pedestrian flow, the bicycle flow study currently lags far behind. We have carried…

Adaptation and Self-Organizing Systems · Physics 2014-11-06 Jiang Rui , Hu Mao-Bin , Wu Qing-Song , Song Wei-Guo Song

We use cellular automata model to study the cooperation between cyclists. In the two-lane model, cyclists can change lanes. Even there is someone on the back they will take a cooperative attitude. It means that they will be in a same…

Cellular Automata and Lattice Gases · Physics 2011-10-14 Chi-Yu Wang , Li-Hu Wang , Ruo-Hang Chen

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

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

A model for traffic flow in street networks or material flows in supply networks is presented, that takes into account the conservation of cars or materials and other significant features of traffic flows such as jam formation, spillovers,…

Fluid Dynamics · Physics 2016-08-14 Dirk Helbing , Jan Siegmeier , Stefan Lämmer

Measurements of traffic flow show the existence of metastable states of very high throughput. These observations cannot be reproduced by the CA model of Nagel and Schreckenberg (NaSch model), not even qualitatively. Here we present two…

Statistical Mechanics · Physics 2007-05-23 R. Barlovic , L. Santen , A. Schadschneider , M. Schreckenberg

In this paper, we focus on the different traffic flow models that exist in literature. Due to our frequently encountered confusion among traffic engineers and policy makers, this paper goes into more detail about transportation planning…

Physics and Society · Physics 2009-09-29 Sven Maerivoet , Bart De Moor