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We study the factorised steady state of a general class of mass transport models in which mass, a conserved quantity, is transferred stochastically between sites. Condensation in such models is exhibited when above a critical mass density…

统计力学 · 物理学 2008-09-25 Martin R. Evans , Satya N. Majumdar

We propose a quantitative approach for calibrating and validating key features of traffic instabilities based on speed time series obtained from aggregated data of a series of neighboring stationary detectors. We apply the proposed criteria…

物理与社会 · 物理学 2010-08-11 Martin Treiber , Arne Kesting

We study real space condensation in aggregation-fragmentation models where the total mass is not conserved, as in phenomena like cloud formation and intracellular trafficking. We study the scaling properties of the system with influx and…

统计力学 · 物理学 2015-06-15 Himani Sachdeva , Mustansir Barma , Madan Rao

We study a simple aggregation model that mimics the clustering of traffic on a one-lane roadway. In this model, each ``car'' moves ballistically at its initial velocity until it overtakes the preceding car or cluster. After this encounter,…

凝聚态物理 · 物理学 2009-10-22 E. Ben-Naim , P. L. Krapivsky , S. Redner

We revisit the slow-bond (SB) problem of the one-dimensional (1D) totally asymmetric simple exclusion process (TASEP) with modified hopping rates. In the original SB problem, it turns out that a local defect is always relevant to the system…

统计力学 · 物理学 2018-03-20 Hyungjoon Soh , Meesoon Ha , Hawoong Jeong

We study a single-lane traffic model that is based on human driving behavior. The outflow from a traffic jam self-organizes to a critical state of maximum throughput. Small perturbations of the outflow far downstream create emergent traffic…

adap-org · 物理学 2009-10-28 Kai Nagel , Maya Paczuski

The Totally Asymmetric Simple Exclusion Process (TASEP) is a paradigm of out-of-equilibrium Statistical Physics that serves as a simplistic model for one-way vehicular traffic. Since traffic is perturbed by cars cruising for parking in many…

统计力学 · 物理学 2023-09-25 Valentin Anfray , Alexandre Nicolas

We study a class of zero-range processes in which the real-space condensation phenomenon does not occur and is replaced by a saturated condensation: that is, an extensive number of finite-size "condensates" in the steady state. We determine…

统计力学 · 物理学 2013-05-20 A. G. Thompson , J. Tailleur , M. E. Cates , R. A. Blythe

We present large scale and detailed analysis of the microscopic empirical data of the traffic flow, focusing on the non-linear interactions between the vehicles when the traffic is congested. By implementing a "renormalisation" procedure…

适应与自组织系统 · 物理学 2016-03-15 Bo Yang , Ji Wei Yoon , Christopher Monterola

This paper addresses the problem of a boundary control design for traffic evolving in a large-scale urban network. The traffic state is described on a macroscopic scale and corresponds to the vehicle density, whose dynamics are governed by…

最优化与控制 · 数学 2021-03-17 Liudmila Tumash , Carlos Canudas-de-Wit , Maria Laura Delle Monache

We study numerically the behavior of the Biham-Middleton-Levine traffic model in three dimensions. Our extensive numerical simulations show that the phase diagram for this model in three dimensions is markedly different from that in one and…

凝聚态物理 · 物理学 2009-10-31 H. F. Chau , K. Y. Wan

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

We study the dynamics of condensation in a misanthrope process with nonlinear jump rates and factorized stationary states. For large enough density, it is known that such models have a phase separated state, with a non-zero fraction of the…

统计力学 · 物理学 2021-07-21 Yu-Xi Chau , Colm Connaughton , Stefan Grosskinsky

We examine the effect of spatial correlations on the phenomenon of real-space condensation in driven mass-transport systems. We suggest that in a broad class of models with a spatially correlated steady state, the condensate drifts with a…

统计力学 · 物理学 2015-06-12 Ori Hirschberg , David Mukamel , Gunter M. Schütz

In this paper we study a traffic intersection with vehicle-actuated traffic signal control. Traffic lights stay green until all lanes within a group are emptied. Assuming general renewal arrival processes, we derive exact limiting…

概率论 · 数学 2014-09-11 Marko Boon , Ivo Adan , Erik Winands , Doug Down

In the Biham-Middleton-Levine traffic model cars are placed with some density p on a two dimensional torus, and move according to a (simple) set of predefined rules. Computer simulations show this system exhibits many interesting phenomena:…

概率论 · 数学 2007-09-11 Itai Benjamini , Ori Gurel-Gurevich , Roey Izkovsky

There is discussion if traffic displays multiple phases (e.g. laminar, jammed, synchronized) or not. This paper presents evidence that a stochastic car following model, by changing one of its parameters, can be moved from showing two phases…

统计力学 · 物理学 2007-05-23 Dominic Jost , Kai Nagel

The theory of urban traffic flow has been developed and new types of meta-automata have emerged and simulate realistic traffic conditions relatively well. Among these models, the brake light model can simulate the three-phase traffic flow…

复变函数 · 数学 2021-11-29 Rui Shen

We study a model for freeway traffic which includes strong noise taking into account the fluctuations of individual driving behavior. The model shows emergent traffic jams with a self-similar appearance near the throughput maximum of the…

凝聚态物理 · 物理学 2009-10-22 K. Nagel

A source traffic model for machine-to-machine communications is presented in this paper. We consider a model in which devices operate in a regular mode until they are triggered into an alarm mode by an alarm event. The positions of devices…

网络与互联网体系结构 · 计算机科学 2017-09-05 Henning Thomsen , Carles Navarro Manchón , Bernard Henri Fleury