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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…

Cellular Automata and Lattice Gases · Physics 2015-06-12 Yinfeng Dong , Guangcai Zhang , Aiguo Xu , Yanbiao Gan

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

In this work, the one-dimensional Cellular Automaton is extended to one that involves two sets of symbols and two global rules. As a main result, the Extended Curtis-Hedlund-Lyndon Theorem is demonstrated. Such constructions can be useful…

Cellular Automata and Lattice Gases · Physics 2025-02-25 Pouya Mehdipour , Mostafa Salarinoghabi , Paula Gibrim

We describe a simple framework for micro simulation of city traffic. A medium sized excerpt of Dallas was used to examine different levels of simulation fidelity of a cellular automaton method for the traffic flow simulation and a simple…

adap-org · Physics 2009-10-30 M. Rickert , Kai Nagel

The basic properties of traffic flow are analyzed using a simple deterministic one dimensional "car following model" with continuous variables based on a model introduced by Nagel and Herrmann [Physica A 199 254--269 (1993)] including a few…

Statistical Mechanics · Physics 2007-05-23 G. Sauermann , H. J. Herrmann

Cellular Automata(CA) is a discrete computing model which provides simple, flexible and efficient platform for simulating complicated systems and performing complex computation based on the neighborhoods information. CA consists of two…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-12-12 Debasis Das , Rajiv Misra

The paper proposes a simple formalism for dealing with deterministic, non-deterministic and stochastic cellular automata in a unifying and composable manner. Armed with this formalism, we extend the notion of intrinsic simulation between…

Formal Languages and Automata Theory · Computer Science 2012-08-15 Pablo Arrighi , Nicolas Schabanel , Guillaume Theyssier

We propose and study a one-dimensional traffic flow cellular automaton model of high-speed vehicles with the Fukui-Ishibashi-type (FI) acceleration rule for all cars, and the Nagel-Schreckenberg-type (NS) stochastic delay mechanism. By…

Statistical Mechanics · Physics 2007-05-23 Chuan-Ji Fu , Chuan-Yang Yin , Tao Zhou , Bo Hu , Bing-Hong Wang , Kun Gao

We explore some aspects of phase transitions in cellular automata. We start recalling the standard formulation of statistical mechanics of discrete systems (Ising model), illustrating the Monte Carlo approach as Markov chains and stochastic…

Statistical Mechanics · Physics 2023-12-05 Franco Bagnoli , Raul Rechtman

This paper proposes several algorithms and their Cellular Automata Machine (CAM) for drawing the State Transition Diagram (STD) of an arbitrary Cellular Automata (CA) Rule (any neighborhood, uniform/ hybrid and null/ periodic boundary) and…

Cellular Automata and Lattice Gases · Physics 2008-11-11 Sudhakar Sahoo , Pabitra Pal Choudhury

A new cellular automaton (CA) traffic model is presented. The focus is on mechanical restrictions of vehicles realized by limited acceleration and deceleration capabilities. These features are incorporated into the model in order to…

Statistical Mechanics · Physics 2009-11-10 Hyun Keun Lee , Robert Barlovic , Michael Schreckenberg , Doochul Kim

A cellular automaton is a deterministic and exactly computable dynamical system which mimics certain fundamental aspects of physical dynamics such as spatial locality and finite entropy. CA systems can be constructed which have additional…

comp-gas · Physics 2007-05-23 Norman Margolus

Cellular automata (CAs) are fully-discrete dynamical models that have received much attention due to the fact that their relatively simple setup can nonetheless express highly complex phenomena. Despite the model's theoretical maturity and…

Cellular Automata and Lattice Gases · Physics 2025-07-10 Michiel Rollier , Kallil M. C. Zielinski , Aisling J. Daly , Odemir M. Bruno , Jan M. Baetens

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…

Statistical Mechanics · Physics 2009-09-29 Sven Maerivoet , Bart De Moor

We propose a characteristic representation ofone-dimensional and 2-state, 3-neighbor cellular automaton rules, which describes an effective form of each rule after many time steps. Simulated results of the representation show that complex…

chao-dyn · Physics 2008-02-03 Y. Kayama , H. Anada , Y. Imamura , 9 pages

We propose a stochastic model for the intersection of two urban streets. The vehicular traffic at the intersection is controlled by a set of traffic lights which can be operated subject to fix-time as well as traffic adaptive schemes.…

Condensed Matter · Physics 2012-03-19 M. Ebrahim Fouladvand , Zeinab Sadjadi , M. Reza Shaebani

We created two dimensional hexagonal cellular automata to obtain complexity. Considering the game of life rules, Wolfram's works about life-like structures and John von Neumann's self-replication, self-maintenance, self-reproduction…

Cellular Automata and Lattice Gases · Physics 2023-02-28 Vural Erdogan

This paper studies directional dynamics in cellular automata, a formalism previously introduced by the third author. The central idea is to study the dynamical behaviour of a cellular automaton through the conjoint action of its global rule…

Discrete Mathematics · Computer Science 2010-08-23 Martin Delacourt , Victor Poupet , Mathieu Sablik , Guillaume Theyssier

Cellular Automata (CAs) are computational models that can capture the essential features of systems in which global behavior emerges from the collective effect of simple components, which interact locally. During the last decades, CAs have…

Number-conserving cellular automata are discrete dynamical systems that simulate interacting particles like e.g. grains of sand. In an earlier paper, I had already derived a uniform construction for all transition rules of one-dimensional…

Cellular Automata and Lattice Gases · Physics 2025-06-02 Markus Redeker