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A two-dimensional cellular automaton model of traffic flow with open boundaries are investigated by computer simulations. The outflow of cars from the system and the average velocity are investigated. The time sequences of the outflow and…

adap-org · 物理学 2009-10-28 Shin-ichi Tadaki

A new kind of cellular automaton (CA) for the study of the dynamics of urban systems is proposed. The state of a cell is not described using a finite set, but by means of continuum variables. A population sector is included, taking into…

元胞自动机与格子气 · 物理学 2007-05-23 Alberto Vancheri , Paolo Giordano , Denise Andrey , Sergio Albeverio

In this paper we present a theoretical analysis of a recently proposed two-dimensional Cellular Automata model for traffic flow in cities with the novel ingredient of turning capability. Numerical simulations of this model show that there…

comp-gas · 物理学 2009-10-22 J. M. Molera , F. C. Martinez , J. A. Cuesta , R. Brito

A two--dimensional cellular automaton is introduced to model the flow and jamming of vehicular traffic in cities. Each site of the automaton represents a crossing where a finite number of cars can wait approaching the crossing from each of…

adap-org · 物理学 2008-02-03 Jan Freund , Thorsten Pöschel

A two-dimensional cellular automaton is introduced to model the flow and jamming of vehicular traffic in cities. Each site of the automaton represents a crossing where a finite number of cars can wait approaching the crossing from each of…

统计力学 · 物理学 2015-06-24 Jan Freund , Thorsten Poeschel

A general stochastic traffic cellular automaton (CA) model, which includes slow-to-start effect and driver's perspective, is proposed in this paper. It is shown that this model includes well known traffic CA models such as…

统计力学 · 物理学 2007-05-23 Satoshi Sakai , Katsuhiro Nishinari , Shinji Iida

We study a two-dimensional cellular automaton (CA), called Diffusion Rule (DR), which exhibits diffusion-like dynamics of propagating patterns. In computational experiments we discover a wide range of mobile and stationary localizations…

形式语言与自动机理论 · 计算机科学 2015-05-13 Genaro J. Martinez , Andrew Adamatzky , Harold V. McIntosh

A minimalistic model for chimera states is presented. The model is a cellular automaton (CA) which depends on only one adjustable parameter, the range of the nonlocal coupling, and is built from elementary cellular automata and the majority…

斑图形成与孤子 · 物理学 2016-05-25 Vladimir García-Morales

We examine various realistic generalizations of the basic cellular automaton model describing traffic flow along a highway. In particular, we introduce a {\em slow-to-start} rule which simulates a possible delay before a car pulls away from…

凝聚态物理 · 物理学 2009-10-28 Simon C. Benjamin , Neil F. Johnson , P. M. Hui

The cellular automaton model for traffic flow exhibits a jamming transition from a free-flow phase to a congested phase. In the deterministic case this transition corresponds to a critical point with diverging correlation length. We present…

统计力学 · 物理学 2007-05-23 L. Santen , A. Schadschneider

In this paper computer simulation results of higher order density correlation for cellular automaton models of traffic flow are presented. The examinations show the jamming transition as a function of both the density and the magnitude of…

统计力学 · 物理学 2009-10-31 L. Neubert , H. Y. Lee , M. Schreckenberg

We construct a cellular automaton (CA) model that describes the movement of a particle in a disordered system. The mathematical properties of the CA model were examined by varying the configuration of grid and determining the number of…

计算物理 · 物理学 2025-02-05 Lander Besabe , Editha Jose , Alvin Karlo Tapia

Cellular automata (CA) are discrete-time dynamical systems with local update rules on a lattice. Despite their elementary definition, CA support a wide spectrum of macroscopic phenomena central to statistical physics: equilibrium and…

统计力学 · 物理学 2026-03-31 Mihir Metkar , Neha Sah , Yichen Zhou

The cellular automata (CA) approach to traffic modeling is extended to allow for spatially homogeneous steady state solutions that cover a two dimensional region in the flow-density plane. Hence these models fulfill a basic postulate of a…

统计力学 · 物理学 2009-11-07 Boris S. Kerner , Sergey L. Klenov , Dietrich E. Wolf

We present a 2-dimensional cellular automaton model for the simulation of pedestrian dynamics. The model is extremely efficient and allows simulations of large crowds faster than real time since it includes only nearest-neighbour…

统计力学 · 物理学 2007-05-23 Andreas Schadschneider

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…

元胞自动机与格子气 · 物理学 2026-02-03 Gilad Hertzberg Rabinovich , Ofer Biham , Eytan Katzav

A new stochastic cellular automaton (CA) model of traffic flow, which includes slow-to-start effects and a driver's perspective, is proposed by extending the Burgers CA and the Nagel-Schreckenberg CA model. The flow-density relation of this…

统计力学 · 物理学 2009-11-10 Katsuhiro Nishinari , Minoru Fuku , Andreas Schadschneider

A one-dimensional two-state number-conserving cellular automaton (NCCA) is a cellular automaton whose states are 0 or 1 and where cells take states 0 and 1 and updated their states by the rule which keeps overall sum of states constant. It…

元胞自动机与格子气 · 物理学 2019-10-21 Gil-Tak Kong , Katsunobu Imai , Toru Nakanashi

Every transitive cellular automaton (CA) is sensitive to initial conditions. We study this implication in the more general context of non-uniform cellular automata (NUCA) with finitely many different local update rules assigned to cells. We…

动力系统 · 数学 2026-05-22 Supreeti Kamilya , Jarkko Kari , Katariina Paturi

The Cellular Automaton (CA) modeling and simulation of solid dynamics is a long-standing difficult problem. In this paper we present a new two-dimensional CA model for solid dynamics. In this model the solid body is represented by a set of…

元胞自动机与格子气 · 物理学 2015-06-12 Yinfeng Dong , Guangcai Zhang , Aiguo Xu , Yanbiao Gan
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