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We propose a traffic flow model in which the vehicles are filed from their maximal velocities, the fast cars run with $Vmax{1}$, whereas the slow ones run with $Vmax{2}$. Using new overtaking rules which deals with deterministic NaSch…

其他凝聚态物理 · 物理学 2007-05-23 H. Ez-Zahraouy K. Jetto A. Benyoussef

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…

统计力学 · 物理学 2009-10-31 Dirk Helbing , Ansgar Hennecke , Martin Treiber

It is understood that congestion in traffic can be interpreted in terms of the instability of the equation of dynamic motion. The evolution of a traffic system from an unstable or metastable state to a globally stable state bears a strong…

物理与社会 · 物理学 2016-12-06 Wei-Liang Qian , Bin Wang , Kai Lin , Romuel F. Machado , Yogiro Hama

The dynamical properties of road traffic time series from North-Rhine Westphalian motorways are investigated. The article shows that road traffic dynamics is well described as a persistent stochastic process with two fixed points…

数据分析、统计与概率 · 物理学 2007-05-23 Helge Siegel , Dennis Belomestnyi

We discuss a phenomenological approach to the description of unstable vehicle motion on multilane highways that explains in a simple way the observed sequence of the phase transitions "free flow -> synchronized motion -> jam" as well as the…

统计力学 · 物理学 2009-10-31 Ihor A. Lubashevsky , Reinhard Mahnke

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…

统计力学 · 物理学 2007-05-23 Elad Tomer , Leonid Safonov , Nilly Madar , Shlomo Havlin

The congestion formation on a urban road network is one of the key issue for the development of a sustainable mobility in the future smart cities. In this work we propose a reductionist approach studying the stationary states of a simple…

物理与社会 · 物理学 2024-05-28 Lorenzo Di Meco , Mirko Degli Esposti , Federico Bellisardi , Armando Bazzani

When very small particles are suspended in a fluid in motion, they tend to follow the flow. How such tracer particles are mixed, transported, and dispersed by turbulent flow has been successfully described by statistical models. Heavy…

流体动力学 · 物理学 2023-12-21 J. Bec , K. Gustavsson , B. Mehlig

We investigate both experimentally and theoretically the traffic of particles flowing in microfluidic obstacle networks. We show that the traffic dynamics is a non-linear process: the particle current does not scale with the particle…

统计力学 · 物理学 2015-05-19 Nicolas Champagne , Romain Vasseur , Adrien Montourcy , Denis Bartolo

Flow of dissipative particles driven by peristaltic motion of a tube is numerically studied. A transition from slow unjammed flow to fast jammed flow is found through the observation of the mass flux if the minimum width of the peristaltic…

软凝聚态物质 · 物理学 2012-03-12 Naoki Yoshioka , Hisao Hayakawa

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…

物理与社会 · 物理学 2009-10-26 Dirk Helbing , Martin Treiber , Arne Kesting , Martin Schönhof

We study the phase diagram of the continuum traffic flow model of a highway with an on-ramp. Using an open boundary condition, traffic states and metastabilities are investigated numerically for several representative values of the upstream…

统计力学 · 物理学 2009-10-31 H. Y. Lee , H. -W. Lee , D. Kim

Particle suspensions in confined geometries can become clogged, which can have a catastrophic effect on function in biological and industrial systems. Here, we investigate the macroscopic dynamics of suspensions in constricted geometries.…

流体动力学 · 物理学 2025-05-23 Anushka Herale , Philip Pearce , Duncan Hewitt

A uni-directional two-lane road is approximated by a set of two parallel closed one-dimensional chains. Two types of car i.e. slow and fast ones are considered in the system. Based on the Nagel-Schreckenberg (Na-Sch) model of traffic flow,…

统计力学 · 物理学 2007-05-23 M. Ebrahim Fouladvand

We propose currently feasible experiments using small, isolated systems of ultracold atoms to investigate the effects of dynamical chaos in the microscopic onset of irreversibility. A control parameter is tuned past a critical value, then…

量子气体 · 物理学 2019-10-07 Ralf Bürkle , Amichay Vardi , Doron Cohen , James R. Anglin

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'…

统计力学 · 物理学 2015-06-24 A. De Martino , M. Marsili , R. Mulet

The present paper proposes a stochastic model of the traffic flow. This model has a discrete set of states and the continuous time. The model is a generalization of the discrete stochastis model that has been considered in a previous paper…

其他凝聚态物理 · 物理学 2007-05-23 A. P. Buslaev , A. G. Tatashev , M. V. Yashina

We introduce and analyze a model for the transport of particles or energy in extended lattice systems. The dynamics of the model acts on a discrete phase space at discrete times but has nonetheless some of the characteristic properties of…

数学物理 · 物理学 2015-06-12 Raphael Lefevere

Lagging or halted traffic is bothersome. As such, it is desirable to have a model that can begin to determine the efficiency of various traffic standardizations. Our model intended to create a multifaceted realistic simulation of traffic…

元胞自动机与格子气 · 物理学 2018-03-28 Camilla Champion , Cody Champion

Understanding how cities transition from free-flowing to congested traffic remains a central open problem in urban science. Here we show that city-scale congestion undergoes a reproducible nonlinear transition analogous to an order-disorder…

物理与社会 · 物理学 2026-05-06 Luis E. Olmos