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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

We investigate critical properties of a class of number-conserving cellular automata (CA) which can be interpreted as deterministic models of traffic flow with anticipatory driving. These rules are among the only known CA rules for which…

元胞自动机与格子气 · 物理学 2023-12-18 Henryk Fuks

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. In the…

统计力学 · 物理学 2009-10-30 B. Eisenblaetter , L. Santen , A. Schadschneider , M. Schreckenberg

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

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

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…

统计力学 · 物理学 2009-05-19 Masahiro Kanai , Katsuhiro Nishinari , Tetsuji Tokihiro

A cellular automaton model is presented for random walkers with biologically motivated interactions favoring local alignment and leading to collective motion or swarming behavior. The degree of alignment is controlled by a sensitivity…

生物物理 · 物理学 2009-10-30 H. J. Bussemaker , A. Deutsch , E. Geigant

We present a novel approach to understand vehicular traffic jams by studying a simple model, Elementary Cellular Automaton Rule 184 (ECA 184). Using key traffic observables, such as the total delay and relaxation time, as well as…

统计力学 · 物理学 2025-11-11 Aryaman Jha , Kurt Wiesenfeld , Garyoung Lee , Jorge Laval

The jamming transition in the stochastic cellular automaton model (Nagel-Schreckenberg model) of highway traffic is analyzed in detail, by studying the relaxation time, a mapping to surface growth problems and the investigation of…

统计力学 · 物理学 2009-10-30 Marton Sasvari , Janos Kertesz

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

Effects of large value assigned to the maximal car velocity on the fundamental diagrams in the Nagel-Schreckenberg model are studied by extended simulations. The function relating the flow in the congested traffic phase with the car density…

物理与社会 · 物理学 2007-05-23 Danuta Makowiec , Wieslaw Miklaszewski

Within the class of stochastic cellular automata models of traffic flows, we look at the velocity dependent randomization variant (VDR-TCA) whose parameters take on a specific set of extreme values. These initial conditions lead us to the…

统计力学 · 物理学 2009-09-29 Sven Maerivoet , Bart De Moor

In this work we propose a car cellular automaton model that reproduces the experimental behavior of traffic flows in Bogot\'a. Our model includes three elements: hysteresis between the acceleration and brake gaps, a delay time in the…

统计力学 · 物理学 2009-11-10 L. E. Olmos , J. D. Munoz

Simple cellular automata models are able to reproduce the basic properties of highway traffic. The comparison with empirical data for microscopic quantities requires a more detailed description of the elementary dynamics. Based on existing…

统计力学 · 物理学 2009-10-31 Wolfgang Knospe , Ludger Santen , Andreas Schadschneider , Michael Schreckenberg

Effects of a bottleneck in a linear trafficway is investigated using a simple cellular automaton model. Introducing a blockage site which transmit cars at some transmission probability into the rule-184 cellular automaton, we observe three…

凝聚态物理 · 物理学 2009-10-22 S. Yukawa , M. Kikuchi , S. -I. Tadaki

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

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 focus in this work on the study of traffic in open systems using a modified version of an existing cellular automaton model. We demonstrate that the open system is rather different from the closed system in its 'choice' of a unique…

经典物理 · 物理学 2007-05-23 M. E. Larraga , J. A. del Rio , Anita Mehta

Previous study of cellular automata and random Boolean networks has shown emergent behavior occurring at the edge of chaos where the randomness (disorder) of internal connections is set to an intermediate critical value. The value at which…

元胞自动机与格子气 · 物理学 2023-04-17 Ron Fulbright

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
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