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We derive a set of algorithms for simulating the diffusion-limited growth of faceted crystals using local cellular automata. This technique has been shown to work well in reproducing realistic crystal morphologies, and the present work…

Materials Science · Physics 2008-07-17 Kenneth G. Libbrecht

Quantum computation based on quantum cellular automata (QCA) can greatly reduce the control and precision necessary for experimental implementations of quantum information processing. A QCA system consists of a few species of qubits in…

Quantum Physics · Physics 2009-11-10 Yaakov S. Weinstein , C. Stephen Hellberg

In recent years the modelling of traffic flow using methods from statistical physics, especially cellular automata models have allowed simulations of large traffic networks faster than real time. In this paper, we study a probabilistic…

Soft Condensed Matter · Physics 2007-05-23 M. E. Larraga , J. A. del Rio

Starting from integrable cellular automata we present a novel form of Painlev\'e equations. These equations are discrete in both the independent variable and the dependent one. We show that they capture the essence of the behavior of the…

solv-int · Physics 2009-10-30 B. Grammaticos , Y. Ohta , A. Ramani , D. Takahashi , K. M. Tamizhmani

Reactive lattice gas automata provide a microscopic approachto the dynamics of spatially-distributed reacting systems. After introducing the subject within the wider framework of lattice gas automata (LGA) as a microscopic approach to the…

comp-gas · Physics 2009-10-28 Jean Pierre Boon , David Dab , Raymond Kapral , Anna Lawniczak

We say that a Cellular Automata (CA) is coalescing when its execution on two distinct (random) initial configurations in the same asynchronous mode (the same cells are updated in each configuration at each time step) makes both…

Cellular Automata and Lattice Gases · Physics 2007-12-13 Jean-Baptiste Rouquier , Michel Morvan

This note is a survey of examples and results about cellular automata with the purpose of recalling that there is no 'universal' way of being computationally universal. In particular, we show how some cellular automata can embed efficient…

Computational Complexity · Computer Science 2021-12-03 Guillaume Theyssier

The complexity of cellular automata is traditionally measured by their computational capacity. However, it is difficult to choose a challenging set of computational tasks suitable for the parallel nature of such systems. We study the…

Neural and Evolutionary Computing · Computer Science 2021-08-03 Barbora Hudcová , Tomáš Mikolov

Living systems are capable of locomotion, reconfiguration, and replication. To perform these tasks, cells spatiotemporally coordinate the interactions of force-generating, "active" molecules that create and manipulate non-equilibrium…

Soft Condensed Matter · Physics 2019-08-28 Tyler D. Ross , Heun Jin Lee , Zijie Qu , Rachel A. Banks , Rob Phillips , Matt Thomson

We present the living application, a method to autonomously manage applications on the grid. During its execution on the grid, the living application makes choices on the resources to use in order to complete its tasks. These choices can be…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-09-27 D. Groen , S. Harfst , S. Portegies Zwart

This article introduces a fully automated verification technique that permits to analyze real-time systems described using a continuous notion of time and a mixture of operational (i.e., automata-based) and descriptive (i.e., logic-based)…

Logic in Computer Science · Computer Science 2013-08-14 Carlo A. Furia , Matteo Pradella , Matteo Rossi

Following extensive numerical experiments, it has been suggested that the evolution of competing computer programs in artificial life simulations shows signs of being a self-organized critical process. The primary evidence for this claim…

adap-org · Physics 2009-10-30 M. E. J. Newman , Simon M. Fraser , Kim Sneppen , William A. Tozier

The transition structure of an automaton can be used to create a natural topology to the set of states of an automaton, generating, this way, a topological space. Probabilistic automata can also be modeled in terms of measure theory. A…

Formal Languages and Automata Theory · Computer Science 2025-10-14 Sergio Henrique Maciel

In this paper we study the dynamics of 1- and 2- dimensional cellular automata, using a 2-adic representation of the states, we give a simple graphical technique for finding periodic solutions. We also study the continuity properties of the…

Cellular Automata and Lattice Gases · Physics 2007-07-06 Xu Xu , Yi Song , Stephen P. Banks

This paper studies two kinds of simulation between cellular automata: simulations based on factor and simulations based on sub-automaton. We show that these two kinds of simulation behave in two opposite ways with respect to the complexity…

Discrete Mathematics · Computer Science 2010-12-01 Pierre Guillon , Pierre-Etienne Meunier , Guillaume Theyssier

Quantum cellular automata are alternative quantum-computing paradigms to quantum Turing machines and quantum circuits. Their working mechanisms are inherently automated, therefore measurement free, and they act in a translation invariant…

Quantum Physics · Physics 2025-07-28 Thiago L. M. Guedes , Don Winter , Markus Müller

Partitioned cellular automata are known to be an useful tool to simulate linear and nonlinear problems in physics, specially because they allow for a straightforward way to define conserved quantities and reversible dynamics. Here we show…

Cellular Automata and Lattice Gases · Physics 2020-12-17 Pedro C. S. Costa , Fernando de Melo

The searching for the stable patterns in the evolution of cellular automata is implemented using stochastic synchronization between the present structures of the system and its precedent configurations. For most of the known evolution rules…

Cellular Automata and Lattice Gases · Physics 2007-05-23 J. R. Sanchez , R. Lopez-Ruiz

This paper presents a classification of Cellular Automata rules based on its properties at the nth iteration. Elaborate computer program has been designed to get the nth iteration for arbitrary 1-D or 2-D CA rules. Studies indicate that the…

The sustenance of life depends on the high degree of organization that prevails through different levels of living organisms, from subcellular structures such as biomolecular complexes and organelles to tissues and organs. The physical…

Soft Condensed Matter · Physics 2019-01-14 Hanieh Falahati , Amir Haji-Akbari
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