Bastien Chopard

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, chemic

“What joy to discern the minute in in?nity, the vast to perceive in the small, what divinity!” Jacob Bernoulli (1654-1705) in Ars Conjectandi (1713) We are proud to present to you the proceedings of t

This book contains theoretical and application oriented methods to treat models of dynamical systems involving non smooth nonlinearities. These non smooth nonlinearities are introduced to take into ac