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Cellular Automata and Modeling of Complex Physical Systems

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

  • Paul Manneville
  • Nino Boccara
  • Gérard Y. Vichniac
  • Roger Bidaux
Conference proceedings

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

Table of contents

  1. Front Matter
    Pages I-IX
  2. Introduction

    1. P. Manneville
      Pages 1-7
  3. Information Theory and Statistical Physics

  4. Lattice Gas Theory and Direct Applications

  5. Modeling of Microscopic Physical Processes

    1. Front Matter
      Pages 205-205
    2. K. Molvig, P. Donis, R. Miller, J. Myczkowski, G. Vichniac
      Pages 206-231
    3. M. Bonetti, A. Noullez, J.-P. Boon
      Pages 239-241
  6. Complex Macroscopic Behavior, Turbulence

    1. Front Matter
      Pages 281-281
    2. F. Bagnoli, S. Isola, R. Livi, G. Martinez-Mekler, S. Ruffo
      Pages 282-290
    3. F. Bagnoli, S. Ciliberto, R. Livi, S. Ruffo
      Pages 291-297
  7. Design of Special-Purpose Computers

    1. Front Matter
      Pages 311-311
    2. F. Bagnoli, A. Francescato
      Pages 312-318
  8. Back Matter
    Pages 319-322

About these proceedings

Introduction

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.

Keywords

Computer Science Diffusion catalysis colloid convection dynamical systems entropy fluid dynamics kinetics statistical physics structure turbulence

Editors and affiliations

  • Paul Manneville
    • 1
  • Nino Boccara
    • 2
  • Gérard Y. Vichniac
    • 3
  • Roger Bidaux
    • 1
  1. 1.Service de Physique du Solide et de Résonance Magnétique, Centre d’Etudes Nucléaires de SaclayInstitut de Recherche FondamentaleGif-sur-Yvette CedexFrance
  2. 2.Centre de PhysiqueUniversité Scientifique et MédicaleLes HouchesFrance
  3. 3.Plasma Fusion CenterMassachusetts Institute of TechnologyCambridgeUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-75259-9
  • Copyright Information Springer-Verlag Berlin Heidelberg 1989
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-75261-2
  • Online ISBN 978-3-642-75259-9
  • Series Print ISSN 0930-8989
  • Series Online ISSN 1867-4941
  • Buy this book on publisher's site