Cellular automata modeling of physical systems

Bibliographic Information

Cellular automata modeling of physical systems

Bastien Chopard and Michel Droz

(Collection Aléa-Saclay : monographs and texts in statistical physics, 6)

Cambridge University Press, 1998

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Includes bibliographical references and index

Description and Table of Contents

Description

This book provides a self-contained introduction to cellular automata and lattice Boltzmann techniques. Beginning with a chapter introducing the basic concepts of this developing field, a second chapter describes methods used in cellular automata modeling. Following chapters discuss the statistical mechanics of lattice gases, diffusion phenomena, reaction-diffusion processes and non-equilibrium phase transitions. A final chapter looks at other models and applications, such as wave propagation and multiparticle fluids. With a pedagogic approach, the volume focuses on the use of cellular automata in the framework of equilibrium and non-equilibrium statistical physics. It also emphasises application-oriented problems such as fluid dynamics and pattern formation. The book contains many examples and problems. A glossary and a detailed bibliography are also included. This will be a valuable book for graduate students and researchers working in statistical physics, solid state physics, chemical physics and computer science.

Table of Contents

  • Preface
  • 1. Introduction
  • 2. Cellular automata modeling
  • 3. Statistical mechanics of lattice gas
  • 4. Diffusion phenomena
  • 5. Reaction-diffusion processes
  • 6. Non-equilibrium phase transitions
  • 7. Other models and applications
  • Bibliography
  • Glossary
  • Index.

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