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Originally, the decision and control of the lane change of the vehicle were on the human driver. In previous studies, the decision-making of lane-changing of the human drivers was mainly used to increase the individual's benefit. However,…

Systems and Control · Electrical Eng. & Systems 2021-08-31 Seongjin Choi

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…

Statistical Mechanics · Physics 2007-05-23 Andreas Schadschneider

The rate of energy transfer from ion projectiles onto the electrons of a solid target is hard to determine experimentally in the velocity regime between the adiabatic limit and the Bragg peak. First-principles simulations have lately…

Materials Science · Physics 2019-10-02 Jessica Halliday , Emilio Artacho

This tutorial is about cellular automata that exhibit 'cold dynamics'. By this we mean zero entropy, stabilization of all orbits, trivial asymptotic dynamics, etc. These are purely transient irreversible dynamics, but they capture many…

Cellular Automata and Lattice Gases · Physics 2022-06-17 Guillaume Theyssier

In event by event hydrodynamic model, we have simulated 30-40\% Au+Au collisions at RHIC and computed the slope parameter from the invariant pion distribution. In each event, the slope parameter fluctuates azimuthally. Fourier expansion…

Nuclear Theory · Physics 2015-07-20 A. K. Chaudhuri

We propose a bridge between the theory of exactly solvable models and the investigation of traffic flow. By choosing the activities in an apropriate way the dimer configurations of the Kasteleyn model on a hexagonal lattice can be…

Condensed Matter · Physics 2009-10-28 J. G. Brankov , V. B. Priezzhev , A. Schadschneider , M. Schreckenberg

We investigate the impact of an anisotropic surface tension on the late-stage dilute phase separation dynamics, revisiting the seminal Lifshitz-Slyozov (LS) theory, which traditionally relies on the assumption of isotropic surface tension.…

Statistical Mechanics · Physics 2025-12-02 Arjun R. Anand , Melinda M. Andrews , Benjamin P. Vollmayr-Lee

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 · Physics 2009-10-22 J. M. Molera , F. C. Martinez , J. A. Cuesta , R. Brito

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…

Cellular Automata and Lattice Gases · Physics 2026-02-03 Gilad Hertzberg Rabinovich , Ofer Biham , Eytan Katzav

A low artificial anisotropy cellular automaton (CA) model is developed for the simulation of microstructure evolution in directional solidification. The CA model's capture rule was modified by a limited neighbor solid fraction (LNSF)…

Materials Science · Physics 2014-10-16 Lei Wei , Xin Lin , Meng Wang , Weidong Huang

This study integrates pedestrian flow characteristics to formulate a mesoscopic cellular automata model tailored for simulating evacuations in large-scale scenarios. Departing from the conventional planar grid cell division, the model…

Physics and Society · Physics 2023-11-20 Wei Lv , Jinghui Wang , Zhiming Fang , Dun Mao

Current developments in autonomous off-road driving are steadily increasing performance through higher speeds and more challenging, unstructured environments. However, this operating regime subjects the vehicle to larger inertial effects,…

Robotics · Computer Science 2024-05-28 Tyler Han , Sidharth Talia , Rohan Panicker , Preet Shah , Neel Jawale , Byron Boots

Cellular automata lattice gases are useful systems for systematically exploring the connections between non-equilibrium statisitcal mechanics and dynamical systems theory. Here the chaotic properties of a Lorentz lattice gas are studied…

chao-dyn · Physics 2019-08-17 M. H. Ernst , J. R. Dorfman , R. Nix , D. Jacobs

Both humans and the sensors on an autonomous vehicle have limited sensing capabilities. When these limitations coincide with scenarios involving vulnerable road users, it becomes important to account for these limitations in the motion…

Robotics · Computer Science 2018-02-20 Sarah Thornton

Employing an effective cellular automata model, we investigate and analyze the build-up and erosion of soil. Depending on the strategy employed for handling agricultural production, in many cases we find a critical dependence on the…

Cellular Automata and Lattice Gases · Physics 2015-06-16 Klaus Lichtenegger , Wilhelm Schappacher

Lane changing dynamics are an important part of traffic microsimulation and are vital for modeling weaving sections and merge bottlenecks. However, there is often much more emphasis placed on car following and gap acceptance models, whereas…

Systems and Control · Computer Science 2023-08-01 Ronan Keane , H. Oliver Gao

We study the statistical properties of the long-time dynamics of the rule 54 reversible cellular automaton (CA), driven stochastically at its boundaries. This CA can be considered as a discrete-time and deterministic version of the…

Statistical Mechanics · Physics 2019-08-28 Berislav Buča , Juan P. Garrahan , Tomaž Prosen , Matthieu Vanicat

This paper introduces a general model of a single-lane roundabout, represented as a circular lattice that consists of $L$ cells, with Markovian traffic dynamics. Vehicles enter the roundabout via on-ramp queues that have stochastic arrival…

Cellular Automata and Lattice Gases · Physics 2020-02-05 Jaap Storm , Sandjai Bhulai , Wouter Kager , Michel Mandjes

The proposed stochastic model for pedestrian dynamics is based on existing approaches using cellular automata, combined with substantial extensions, to compensate the deficiencies resulting of the discrete grid structure. This agent motion…

Physics and Society · Physics 2021-04-01 Michael Schultz

We study dense mixtures of passive and active self-aligning disks with isotropic or anisotropic mobility. We find that the passive fraction controls an order-disorder transition that is continuous in the isotropic case and discontinuous in…

Soft Condensed Matter · Physics 2026-04-20 Weizhen Tang , Amir Shee , Zhangang Han , Pawel Romanczuk , Yating Zheng , Cristián Huepe