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A cellular automaton model of traffic flow taking into account velocity anticipation is introduced. The strength of anticipation can be varied which allows to describe different driving schemes. We find phase separation into a free-flow…

Statistical Mechanics · Physics 2007-05-23 M. E. Larraga , J. A. del Rio , A. Schadschneider

A stochastic cellular automaton exhibiting parity conserving class transition has been investigated in the presence of quenched spatial disorder by large scale simulations. Numerical evidence has been found that weak disorder causes…

Statistical Mechanics · Physics 2009-11-11 Geza Odor , Nora Menyhard

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…

Statistical Mechanics · Physics 2007-05-23 Dominic Jost , Kai Nagel

We introduce density dependence of the cell size in cellular-automaton models for traffic flow, which allows a more precise correspondence between real-world phenomena and what observed in simulation. Also, we give an explicit calibration…

Cellular Automata and Lattice Gases · Physics 2015-05-18 Masahiro Kanai

Jamming is a ubiquitous phenomenon that appears in many soft matter systems, including granular materials, foams, colloidal suspensions, emulsions, polymers, and cells -- when jamming occurs, the system undergoes a transition from flow-like…

Soft Condensed Matter · Physics 2023-12-12 Deng Pan , Yinqiao Wang , Hajime Yoshino , Jie Zhang , Yuliang Jin

Cellular automaton (CA) approach is an important theoretical framework for studying complex system behavior and has been widely applied in various research field. CA traffic flow models have the advantage of flexible evolution rules and…

Cellular Automata and Lattice Gases · Physics 2018-10-09 Junfang Tian , Chenqiang Zhu , Rui Jiang

We consider the security-by-design of a signal-free intersection for connected and autonomous vehicles in the face of strategic jamming attacks. We use a fluid model to characterize macroscopic traffic flow through the intersection, where…

Optimization and Control · Mathematics 2022-09-20 Yumeng Bai , Saurabh Amin , Xudong Wang , Li Jin

Probabilistic cellular automata provide a simple framework for the exploration of classical nonequilibrium processes. Recently, quantum cellular automata have been proposed that rely on the propagation of a one-dimensional quantum state…

Quantum Physics · Physics 2022-10-05 Edward Gillman , Federico Carollo , Igor Lesanovsky

We study a two-dimensional, off-lattice particle model introduced to describe absorbing phase transitions in driven non-Brownian suspensions. We numerically explore the $(\phi,\epsilon)$ phase diagram, where $\phi$ is the packing fraction…

Statistical Mechanics · Physics 2026-03-17 Leonardo Galliano , Ludovic Berthier

A multi--cluster model of traffic flow is studied, in which the motion of cars is described by a stochastic master equation. Assuming that the escape rate from a cluster depends only on the cluster size, the dynamics of the model is…

Statistical Mechanics · Physics 2009-11-11 J. Kaupuzs , R. Mahnke , R. J. Harris

The Nagel-Schreckenberg traffic flow model shows a transition from a free flow regime to a jammed regime for increasing car density. The measurement of the dynamical structure factor offers the chance to observe the evolution of jams…

Statistical Mechanics · Physics 2009-09-25 S. Lubeck , L. Roters , K. D. Usadel

We study three models of driven sandpile-type automata in the presence of quenched random defects. When the dynamics is conservative, all these models, termed the random sites (A), random bonds (B), and random slopes (C), self-organize into…

Condensed Matter · Physics 2015-06-25 Bosiljka Tadic , Ramakrishna Ramaswamy

A nucleation model for the breakdown phenomenon in freeway free traffic flow at an on-ramp bottleneck is presented. This model, which can explain empirical results on the breakdown phenomenon, is based on assumptions of three-phase traffic…

Statistical Mechanics · Physics 2007-05-23 Boris S. Kerner , Sergey L. Klenov

The spatio-temporal aspects of the transition to turbulence are considered in the case of a boundary layer flow developing above a flat plate exposed to free-stream turbulence. Combining results on the receptivity to free-stream turbulence…

Nuclear pore complexes are constantly confronted by large fluxes of macromolecules and macromolecular complexes that need to get into and out of the nucleus. Such bi-directional traffic occurring in a narrow channel can easily lead to…

Biological Physics · Physics 2008-07-22 Ruti Kapon , Alon Topchik , David Mukamel , and Ziv Reich

Phantom traffic jams may emerge ``out of nowhere'' from small fluctuations rather than being triggered by large, exceptional events. We show how phantom jams arise in a model of single lane highway traffic, which mimics human driving…

Condensed Matter · Physics 2008-02-03 Maya Paczuski , Kai Nagel

The traffic of molecular motors which interact through mutual exclusion is studied theoretically for half-open tube-like compartments. These half-open tubes mimic the shapes of axons. The mutual exclusion leads to traffic jams or density…

Statistical Mechanics · Physics 2007-05-23 Melanie J. I. Muller , Stefan Klumpp , Reinhard Lipowsky

The fluctuations of the physical quantities play a central role to characterize the critical phenomena. Here, we report that the nature of the fluctuation highly depends on the control parameter near the jamming transition point…

Soft Condensed Matter · Physics 2023-02-09 Harukuni Ikeda

We study completely asymmetric 2-channel exclusion processes in 1 dimension. It describes a two-way traffic flow with cars moving in opposite directions. The interchannel interaction makes cars slow down in the vicinity of approaching cars…

Statistical Mechanics · Physics 2008-11-26 H. -W. Lee , V. Popkov , D. Kim

Within the formalism of martix product ansatz, we study a two-species asymmetric exclusion process with backward and forward site-ordered sequential update. This model describes a two-way traffic flow with a dynamical impurity and shows a…

Statistical Mechanics · Physics 2007-05-23 M. Ebrahim Fouladvand , H. Woo Lee