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Cellular Automata and Modeling of Complex Physical Systems

Proceedings of the Winter School, Les Houches, France, February 21–28, 1989

  • Conference proceedings
  • © 1989

Overview

Editors:
  1. Paul Manneville

    1. Service de Physique du Solide et de Résonance Magnétique, Centre d’Etudes Nucléaires de Saclay, Institut de Recherche Fondamentale, Gif-sur-Yvette Cedex, France

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  2. Nino Boccara

    1. Centre de Physique, Université Scientifique et Médicale, Les Houches, France

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  3. Gérard Y. Vichniac

    1. Plasma Fusion Center, Massachusetts Institute of Technology, Cambridge, USA

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  4. Roger Bidaux

    1. Service de Physique du Solide et de Résonance Magnétique, Centre d’Etudes Nucléaires de Saclay, Institut de Recherche Fondamentale, Gif-sur-Yvette Cedex, France

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Part of the book series: Springer Proceedings in Physics (SPPHY, volume 46)

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Table of contents (28 papers)

  1. Front Matter

    Pages I-IX
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  2. Introduction

    1. Introduction

      • P. Manneville
      Pages 1-7

  3. Information Theory and Statistical Physics

    1. Front Matter

      Pages 9-9
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    2. Cellular Automata, Dynamics and Complexity

      • E. Goles
      Pages 10-20

    3. Scaling Properties of a Family of Transformations Defined on Cellular Automaton Rules

      • N. Boccara
      Pages 21-26

    4. Entropy and Correlations in Dynamical Lattice Systems

      • K. Lindgren
      Pages 27-40

    5. Cellular Automata Probability Measures

      • M. G. Nordahl
      Pages 41-56

    6. Complex Computing with Cellular Automata

      • J. Signorini
      Pages 57-72

    7. Phase Transitions of Two-State Probabilistic Cellular Automata with One Absorbing Phase

      • R. Bidaux, N. Boccara, H. Chaté
      Pages 73-81

    8. Simulating the Ising Model on a Cellular Automaton

      • O. Parodi, H. Ottavi
      Pages 82-97

    9. Domain Growth Kinetics: Microscopic Derivation of the t½ Law

      • E. Domany, D. Kandel
      Pages 98-111

    10. Critical Behavior in Cellular Automata Models of Growth

      • J. Myczkowski, G. Vichniac
      Pages 112-115

  4. Lattice Gas Theory and Direct Applications

    1. Front Matter

      Pages 117-117
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    2. Deterministic Cellular Automata with Diffusive Behavior

      • C. D. Levermore, B. M. Boghosian
      Pages 118-129

    3. Cellular Automata Approach to Diffusion Problems

      • B. Chopard, M. Droz
      Pages 130-143

    4. Long-Time Decay of Velocity Autocorrelation Function of Two-Dimensional Lattice Gas Cellular Automata

      • D. Frenkel
      Pages 144-154

    5. Evidence for Lagrangian Tails in a Lattice Gas

      • P.-M. Binder
      Pages 155-160

    6. The Construction of Efficient Collision Tables for Fluid Flow Computations with Cellular Automata

      • J. A. Somers, P. C. Rem
      Pages 161-177

    7. Lattice Boltzmann Computing on the IBM 3090 Vector Multiprocessor

      • S. Succi, R. Benzi, E. Foti, F. Higuera, F. Szelényi
      Pages 178-185

    8. Bibliography on Lattice Gases and Related Topics

      • D. d’Humières
      Pages 186-204
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Keywords

About this book

Cellular automata are fully discrete dynamical systems with dynamical variables defined at the nodes of a lattice and taking values in a finite set. Application of a local transition rule at each lattice site generates the dynamics. The interpretation of systems with a large number of degrees of freedom in terms of lattice gases has received considerable attention recently due to the many applications of this approach, e.g. for simulating fluid flows under nearly realistic conditions, for modeling complex microscopic natural phenomena such as diffusion-reaction or catalysis, and for analysis of pattern-forming systems. The discussion in this book covers aspects of cellular automata theory related to general problems of information theory and statistical physics, lattice gas theory, direct applications, problems arising in the modeling of microscopic physical processes, complex macroscopic behavior (mostly in connection with turbulence), and the design of special-purpose computers.

Editors and Affiliations

  • Service de Physique du Solide et de Résonance Magnétique, Centre d’Etudes Nucléaires de Saclay, Institut de Recherche Fondamentale, Gif-sur-Yvette Cedex, France

    Paul Manneville, Roger Bidaux

  • Centre de Physique, Université Scientifique et Médicale, Les Houches, France

    Nino Boccara

  • Plasma Fusion Center, Massachusetts Institute of Technology, Cambridge, USA

    Gérard Y. Vichniac

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