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