Cellular Automata Modeling of Physical Systems

Self-contained, pedagogic introduction to powerful techniques for graduate students and researchers in physics and computer science.

Bastien Chopard (Author), Michel Droz (Author)

9780521673457, Cambridge University Press

Paperback, published 30 June 2005

356 pages, 171 b/w illus. 76 exercises
24.5 x 17.1 x 1.9 cm, 0.585 kg

'The book should become a standard reference for anyone interested in cellular automata modelling.' A. Bovier, Zentralblatt für Mathematik

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.

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.

Subject Areas: Statistical physics [PHS]