Chopard B., Droz M. Cellular Automata Modeling of Physical Systems

Cambridge University Press, 1998, 341 p. This book provides an introduction to cellular automata and lattice Boltzmann techniques. It begins 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 nonequilibrium 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 nonequilibrium statistical physics, emphasizing application-oriented problems such as fluid dynamics and pattern formation. The book contains many examples and problems as well as a glossary and a detailed bibliography. This will be a valuable book for graduate students and researchers working in statistical physics, solid state physics, chemical physics and computer science.