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We apply the equal load-sharing fiber bundle model of fracture failure in composite materials to model the traffic failure in a system of parallel road network in a city. For some special distributions of traffic handling capacities…

统计力学 · 物理学 2009-11-11 Bikas K. Chakrabarti

In this article, we investigate theoretical and numerical properties of the first-order Lighthill-Whitham-Richards (LWR) traffic flow model with time delay. Since standard results from the literature are not directly applicable to the…

数值分析 · 数学 2020-03-30 Simone Göttlich , Elisa Iacomini , Thomas Jung

Hybrid traffic modeling and simulation provide an important way to represent and evaluate large-scale traffic networks at different levels of details. The first level, called "microscopic" allows the description of individual vehicles and…

多智能体系统 · 计算机科学 2015-05-28 Najia Bouha , Gildas Morvan , Hassane Abouaïssa , Yoann Kubera

We study phase transitions of a system of particles on the one-dimensional integer lattice moving with constant acceleration, with a collision law respecting slower particles. This simple deterministic ``particle-hopping'' traffic flow…

动力系统 · 数学 2009-11-10 Michael Blank

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…

软凝聚态物质 · 物理学 2014-01-21 Massimo Pica Ciamarra , Peter Sollich

Motivated by an analogy with traffic, we simulate two species of particles (`vehicles'), moving stochastically in opposite directions on a two-lane ring road. Each species prefers one lane over the other, controlled by a parameter $0 \leq b…

统计力学 · 物理学 2007-05-23 B. Schmittmann , J. Krometis , R. K. P. Zia

We study one-dimensional hardcore lattice gases, with nearest-neighbor interactions, in the presence of an external potential barrier, that moves on the periodic lattice with a constant speed. We investigate how the nature of the…

统计力学 · 物理学 2023-04-14 Deepsikha Das , Punyabrata Pradhan , Sakuntala Chatterjee

A microscopic criterion for distinguishing synchronized flow and wide moving jam phases in single vehicle data measured at a single freeway location is presented. Empirical local congested traffic states in single vehicle data measured on…

物理与社会 · 物理学 2009-11-11 Boris S. Kerner , Sergey L. Klenov , Andreas Hiller

In traffic flow, self-organized wave propagation, which characterizes congestion, has been reproduced in macroscopic and microscopic models. Hydrodynamic models, a subset of macroscopic models, can be derived from microscopic-level…

动力系统 · 数学 2024-06-21 Kota Ikeda , Toru Kan , Toshiyuki Ogawa

In the Widom-Rowlinson lattice gas, two particle species (A, B) diffuse freely via particle-hole exchange, subject to both on-site exclusion and prohibition of A-B nearest-neighbor pairs. As an athermal system, the overall densities are the…

统计力学 · 物理学 2018-08-01 Ronald Dickman , R. K. P. Zia

In most models of traffic flow, the car density $p$ is the only free parameter in determining the average car velocity $\langle v \rangle$. The critical car density $p_c$, which is defined to be the car density separating the jamming phase…

adap-org · 物理学 2009-10-28 H. F. Chau , P. M. Hui , Y. F. Woo

Connections between microscopic follow-the-leader and macroscopic fluid-dynamics traffic flow models are already well understood in the case of vehicles moving on a single road. Analogous connections in the case of road networks are instead…

动力系统 · 数学 2016-10-04 Emiliano Cristiani , Smita Sahu

A study of collective behavior in heavy ion collisions provides one of the most sensitive and promising probes for investigation of possible formation of new extreme state of strong interacting matter and elucidating its properties.…

核实验 · 物理学 2008-09-19 V. A. Okorokov

The Boltzmann equation for $d$-dimensional inelastic Maxwell models is considered to determine the collisional moments of second, third and fourth degree in a granular binary mixture. These collisional moments are exactly evaluated in terms…

统计力学 · 物理学 2023-02-08 Constantino Sánchez Romero , Vicente Garzó

We present a model of traffic flow, with rules that describe the behaviour of automated vehicles in an open system. We show first of all that the fundamental diagram of this system collapses to a point, where states of free and jammed…

统计力学 · 物理学 2009-11-07 M. E. Larraga , J. A. del Rio , Anita Mehta

We study the jamming transition of two-dimensional point-to-point traffic through cooperative mechanisms using computer simulation. We propose two decentralized cooperative mechanisms which are incorporated into the point-to-point traffic…

物理与社会 · 物理学 2015-06-05 Jun Fang , Zheng Qin , Xiqun Chen , Zhaohui Xu

We study a generalized Follow-the-Leader model where the driver considers the position of an arbitrary but finite number of vehicles ahead, as well as the position of the vehicle directly behind the driver. It is proved that this model…

偏微分方程分析 · 数学 2024-05-08 Helge Holden , Nils Henrik Risebro

Traffic congestion represents a complex urban phenomenon that has been the subject of extensive research employing various modeling techniques grounded in the principles of physics and molecular theory. Although factors such as road design,…

理论经济学 · 经济学 2025-10-07 Shawn Berry

Jamming is a phenomenon shared by a wide variety of systems, such as granular materials, foams, and glasses in their high density regime. This has motivated the development of a theoretical framework capable of explaining many of their…

统计力学 · 物理学 2021-06-24 Rafael Díaz Hernández Rojas , Giorgio Parisi , Federico Ricci-Tersenghi

Using the optimal velocity (OV) model as an example, we show that in the non-linear regime there is an emergent quantity that gives the extremum headways in the cluster formation, as well as the coexistence curve separating the absolute…

统计力学 · 物理学 2016-05-11 Bo Yang , Xihua Xu , John Z. F. Pang , Christopher Monterola