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Cellular Automata Modeling of Physical Systems

1998/12/10 by Bastien Chopard, Michel Droz · 9 citations
Computer Science · Mathematics · #Cellular Automata and Applications #Stochastic processes and statistical mechanics #Cellular automaton #Statistical mechanics #Statistical physics #Glossary #Computer science #Lattice gas automaton #Lattice Boltzmann methods #Theoretical computer science #Stochastic cellular automaton #Physics #Artificial intelligence #Mechanics

paper · doi:10.1017/cbo9780511549755

openalex publication_date 1998/12/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/22

Abstract

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.

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