This book is a systematic introduction to a new and exciting field of patterns in granular matter. Granular materials are collections of discrete macroscopic solid grains with a typical size large enough that thermal fluctuations are negligible. Despite this seeming simplicity, properties of granular materials are different from conventional solids, liquids and gases due to the dissipative and highly nonlinear nature of forces among grains. The last decade has seen an explosion of interest to nonequilibrium phenomena in granular matter among physicists, both on the experimental and theoretical side. Among these phenomena, one of the most interesting is the ability of granular matter upon mechanical excitation to form highly ordered patterns such as ripples, avalanches, or bands of segregated materials. This book presents a comprehensive review of experiments and novel theoretical concepts needed to understand the mechanisms of pattern formation in granular materials. This book is written for mature physicists interested in this new rapidly developing field, as well as young researchers and graduate students entering this field. We hope that both experimentalists and theorists already working in the field will find it useful.
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Dr Igor Aronson
Staff Scientist at the Material Science Division, Argonne National Laboratory, Illinois
Staff Scientist at the Material Science Division, Argonne National Laboratory, Illinois, since 1996. Igor Aranson graduated from the Gorky State University, Russia, in 1982, and obtained a Ph.D in Physics and Mathematics in 1987. Igor Aranson worked in various areas, from pattern formation, reaction-diffusion systems, to superconductivity, granular materials, and biophysics. He published more than 120 research papers and several book chapters. He is a Fellow of the American Physical Society.
Dr Lev Tsimring
Research Scientist at the Institute for Nonlinear Science, University of California, San Diego
Research Scientist at the Institute for Nonlinear Science, University of California, San Diego Lev Tsimring received his Ph.D. in Physics and Mathematics from the Moscow Institute of Oceanology in 1985. Until 1991 his work was focused on fluid dynamics and the theory of internal and surface waves in the ocean. Since then he has been working in several fields of nonlinear dynamics, including pattern formation, chaos theory, nonlinear time series analysis, and biophysics. He has published more than 120 research papers and edited a book on applications of nonlinear dynamics in communications. He also holds several patents. Since 1992 L.S. Tsimring resides in San Diego, USA.
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