This book gives a systematic overview on the scientific fundamentals of crystal growth from the classical phenomenological description to the recent theoretical contributions of statistical physics such as studies on surface roughening and on the pattern formation in the diffusion-limited growth. The book emphasizes physical concepts as well as mathematical details, and is intended to serve as lecture notes for postgraduate courses. Contents: Introduction; Ideal Growth Laws; Statistical Mechanics of Surface; Kinetics-Limited Growth; Diffusion-Limited Growth: Pattern Formation; Appendices; References; Index. Readership: Condensed matter physicists.

This text discusses the physical principles of how and why crystals grow. It introduces the fundamental properties of crystal surfaces at equilibrium, and describes simple models and basic concepts of crystal growth including diffusion, thermal smoothing of a surface, and applications to semiconductors. It also covers more complex topics such as kinetic roughness, growth instabilities, and elastic effects, as well as the crucial contributions of crystal growth in electronics during this century. The book focuses on growth using molecular beam epitaxy. Throughout, the emphasis is on the role played by modern statistical physics. Informative appendices, interesting exercises and an extensive bibliography reinforce the text.

This is the first-ever textbook on the fundamentals of nucleation, crystal growth and epitaxy. It has been written from a unified point of view and is thus a non-eclectic presentation of this interdisciplinary topic in materials science. The reader is required to possess some basic knowledge of mathematics and physics. All formulae and equations are accompanied by examples that are of technological importance. The book presents not only the fundamentals but also the state of the art in the subject. The second revised edition includes two separate chapters dealing with the effect of the Enrich-Schwoebel barrier for down-step diffusion, as well as the effect of surface active species, on the morphology of the growing surfaces. In addition, many other chapters are updated accordingly. Thus, it serves as a valuable reference book for both graduate students and researchers in materials science.

Originally published in 1991, this book, based on the 1989 Beg-Rohu summer school, contains six sets of pedagogical lectures by internationally respected researchers on the statistical physics of crystal growth. Providing a course in which the phenomena of shape and growth are viewed from a fresh vantage point, the lectures cover a variety of developments in the field and reflect on problems that have received inadequate attention. Statistical physicists, condensed matter physicists, metallurgists, and applied mathematicians will find this a stimulating and valuable book on an important topic.

"Despite substantial, cross-disciplinary interest in the subject as a scientific case study, surprisingly little has been written on the science of snowflakes and their formation. For materials scientists, snowflakes constitute archetypal examples of crystal growth; for chemists, the site of complex molecular dynamics at the ice surface. Physicists can learn from snowflake symmetry and self-assembly; geologists study snow as mineral crystals; and biologists can even gain insight into the creation of shape and order in organisms. In the humble snowflake are condensed many of the processes-many of them still not fully understood-that govern the organization of classical systems at all levels of the natural world. This book by Kenneth Libbrecht-inarguably the world's foremost expert on the subject-will be the authoritative text on the science of snow crystals. It will cover all of the physical processes that govern the life of a snowflake, including how snowflakes grow and why they have the shapes they do. It will also outline techniques for creating and experimenting with snow crystals, both with computer models and in the lab. Featuring hundreds of color illustrations, the book will be comprehensive and is sure to become definitive resource for researchers for years, if not decades, to come"--

While many scientists are familiar with fractals, fewer are familiar with scale-invariance and universality which underlie the ubiquity of their shapes. These properties may emerge from the collective behaviour of simple fundamental constituents, and are studied using statistical field theories. Initial chapters connect the particulate perspective developed in the companion volume, to the coarse grained statistical fields studied here. Based on lectures taught by Professor Kardar at MIT, this textbook demonstrates how such theories are formulated and studied. Perturbation theory, exact solutions, renormalization groups, and other tools are employed to demonstrate the emergence of scale invariance and universality, and the non-equilibrium dynamics of interfaces and directed paths in random media are discussed. Ideal for advanced graduate courses in statistical physics, it contains an integrated set of problems, with solutions to selected problems at the end of the book and a complete set available to lecturers at www.cambridge.org/9780521873413.

When learning very formal material one comes to a stage where one thinks one has understood the material. Confronted with a "realiife" problem, the passivity of this understanding sometimes becomes painfully elear. To be able to solve the problem, ideas, methods, etc. need to be ready at hand. They must be mastered (become active knowledge) in order to employ them successfully. Starting from this idea, the leitmotif, or aim, of this book has been to elose this gap as much as possible. How can this be done? The material presented here was born out of a series of lectures at the Summer School held at Figueira da Foz (Portugal) in 1987. The series of lectures was split into two concurrent parts. In one part the "formal material" was presented. Since the background of those attending varied widely, the presentation of the formal material was kept as pedagogic as possible. In the formal part the general ideas behind the Monte Carlo method were developed. The Monte Carlo method has now found widespread appli cation in many branches of science such as physics, chemistry, and biology. Because of this, the scope of the lectures had to be narrowed down. We could not give a complete account and restricted the treatment to the ap plication of the Monte Carlo method to the physics of phase transitions. Here particular emphasis is placed on finite-size effects.