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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This is a self-contained, pedagogic introduction to cellular automata and lattice Boltzmann techniques. It focuses on the use of cellular automata in the framework of equilibrium and non-equilibrium statistical physics and emphasises various application-oriented problems. It will be valuable for graduate students and researchers working in statistical physics, solid state physics, chemical physics and computer science.
'The book should become a standard reference for anyone interested in cellular automata modelling.' A. Bovier, Zentralblatt für Mathematik
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