Journal ArticleDOI
Statistical mechanics of cellular automata
TLDR
Analysis is given of ''elementary'' cellular automata consisting of a sequence of sites with values 0 or 1 on a line, with each site evolving deterministically in discrete time steps according to p definite rules involving the values of its nearest neighbors.Abstract:
Cellular automata are used as simple mathematical models to investigate self-organization in statistical mechanics. A detailed analysis is given of "elementary" cellular automata consisting of a sequence of sites with values 0 or 1 on a line, with each site evolving deterministically in discrete time steps according to definite rules involving the values of its nearest neighbors. With simple initial configurations, the cellular automata either tend to homogeneous states, or generate self-similar patterns with fractal dimensions \ensuremath{\simeq} 1.59 or \ensuremath{\simeq} 1.69. With "random" initial configurations, the irreversible character of the cellular automaton evolution leads to several self-organization phenomena. Statistical properties of the structures generated are found to lie in two universality classes, independent of the details of the initial state or the cellular automaton rules. More complicated cellular automata are briefly considered, and connections with dynamical systems theory and the formal theory of computation are discussed.read more
Citations
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Journal ArticleDOI
Hierarchical Cellular Automata for Visual Saliency
TL;DR: This paper introduces Hierarchical Cellular Automata—a temporally evolving model to intelligently detect salient objects and finds that the SCA can improve all existing methods that it is applied to, resulting in a similar precision level regardless of the original results.
Proceedings ArticleDOI
Cellular automata for edge detection of images
TL;DR: A new method called cellular automata edge detection model is presented to extract the edge of the image from a discrete dynamical system whose function is completely specified in terms of local relation.
Journal ArticleDOI
Dynamics of traffic flow with real-time traffic information
TL;DR: The dynamical feature of the traffic flow is abstracted by a contrastive study between the nonequilibrium statistical physics and a computer simulation based on cellular automaton and found that the information disrupts the local equilibrium of traffic flow by a characteristic dissipation process due to interaction between the information and individual vehicles.
Journal ArticleDOI
Generic scale invariance in classical nonequilibrium systems (invited)
TL;DR: In this article, the authors show that the existence of a conserved order parameter is a necessary and almost sufficient condition for generic scale invariance to occur in dissipative nonequilibrium systems.
Journal ArticleDOI
Ion beam synthesis of gold nanoclusters in SiO2: Computer simulations versus experiments
Matthias Strobel,Karl-Heinz Heinig,W. Möller,Alkiviathes Meldrum,D.S. Zhou,C. W. White,R. A. Zuhr +6 more
TL;DR: In this paper, a kinetic 3D lattice Monte-Carlo (KLMC) method is applied to describe nucleation and growth of nanoclusters from a space and time-dependent supersaturated solid solution of impurity atoms formed by high-dose ion implantation.
References
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Book
Introduction to Automata Theory, Languages, and Computation
TL;DR: This book is a rigorous exposition of formal languages and models of computation, with an introduction to computational complexity, appropriate for upper-level computer science undergraduates who are comfortable with mathematical arguments.
Journal ArticleDOI
The Chemical Basis of Morphogenesis
TL;DR: In this article, it is suggested that a system of chemical substances, called morphogens, reacting together and diffusing through a tissue, is adequate to account for the main phenomena of morphogenesis.
Journal ArticleDOI
On Computable Numbers, with an Application to the Entscheidungsproblem
TL;DR: This chapter discusses the application of the diagonal process of the universal computing machine, which automates the calculation of circle and circle-free numbers.
Journal ArticleDOI
Metabolic stability and epigenesis in randomly constructed genetic nets
TL;DR: The hypothesis that contemporary organisms are also randomly constructed molecular automata is examined by modeling the gene as a binary (on-off) device and studying the behavior of large, randomly constructed nets of these binary “genes”.
Journal ArticleDOI
Diffusion-limited aggregation, a kinetic critical phenomenon
Abstract: A model for random aggregates is studied by computer simulation The model is applicable to a metal-particle aggregation process whose correlations have been measured previously Density correlations within the model aggregates fall off with distance with a fractional power law, like those of the metal aggregates The radius of gyration of the model aggregates has power-law behavior The model is a limit of a model of dendritic growth