Product Key Features
Number of Pages388 Pages
Publication NameFractal concepts in Surface Growth
LanguageEnglish
Publication Year1995
SubjectPhysics / Condensed Matter, Physics / Crystallography, Geometry / General, Physics / Atomic & Molecular, Physics / General
TypeTextbook
AuthorA.-L. Barabási, H. E. Stanley
Subject AreaMathematics, Science
Additional Product Features
Intended AudienceScholarly & Professional
LCCN94-037111
Reviews"Overall this timely and beautifully produced book provides an excellent overview of some of the most important developments in application of dynamic scaling concepts to surface growth....Barabási and Stanley have done an excellent job of distilling a decade's worth of work into a readable book that provides the background needed to delve into recent literature in this field. I recommend this book strongly to students studying surface and interface growth phenomena, because it provides an excellent background needed to enter this field. I also recommend it to researchers seeking a comprehensive review of a particular surface growth problem, because the authors have covered most of the important surface growth areas in which scaling and fractal concepts have been used. To non-specialists, this book will also be quite useful as a general introduction to application of scaling and fractals to nonequilibrium surface growth phenomena." Fereydoon Family, Journal of Statistical Physics, "This book is an excellent introductory text and could be used for advanced course work in a number of areas. It should be of interest to materials scientists, condensed matter physicists and physical chemists working on surface phenomena....The strength of this book is that it links results from theory, computer simulation and experiment in one unified exposition. It provides an excellent entree into this literature and will be a valuable aid for both teaching and research. I anticipate that this book will be cited long after its contemporaries are out of print." T. Gregory Dewey, Journal of the American Chemical Society, "Overall this timely and beautifully produced book provides an excellent overview of some of the most important developments in application of dynamic scaling concepts to surface growth....Barabfsi and Stanley have done an excellent job of distilling a decade's worth of work into a readable book that provides the background needed to delve into recent literature in this field. I recommend this book strongly to students studying surface and interface growth phenomena, because it provides an excellent background needed to enter this field. I also recommend it to researchers seeking a comprehensive review of a particular surface growth problem, because the authors have covered most of the important surface growth areas in which scaling and fractal concepts have been used. To non-specialists, this book will also be quite useful as a general introduction to application of scaling and fractals to nonequilibrium surface growth phenomena." Fereydoon Family, Journal of Statistical Physics, "...the presentation is made with care and rigor.... The book...can be used for advanced undergraduate or graduate courses. It will be of great practical use for students in the areas of physics and surface growth, and more generally, for students in chemistry, biology, applied mathematics and engineering or materials science." Vitor R. Vieira, Mathematical Reviews, "Barabfsi and Stanley have done a real service in writing a clear and careful introduction to this active area. At this level, the book is unique and merits a place on many shelves." Leonard M. Sander, Physics Today, "Barabási and Stanley have done a real service in writing a clear and careful introduction to this active area. At this level, the book is unique and merits a place on many shelves." Leonard M. Sander, Physics Today, "I am convinced that the book will become a classic one...and can wholeheartedly recommend it to everybody interested in this interdisciplinary field of rough surfaces and interfaces." Armin Bunde, Heterogeneous Reviews
IllustratedYes
Table Of ContentPreface; Notation guide; Part I. Introduction: 1. Interfaces in nature; 2. Scaling concepts; 3. Fractal concepts; Part II. Nonequilibrium Roughening: 4. Random deposition; 5. Linear theory; 6. Kardar-Parisi-Zhang equation; 7. Renormalization group approach; 8. Discrete growth models; Part III. Interfaces in Random Media: 9. Basic phenomena; 10. Quenched noise; 11. Experiments; Part IV. Molecular Beam Epitaxy: 12. Basic phenomena of MBE; 13. Linear theory of MBE; 14. Nonlinear theory for MBE; 15. Discrete models for MBE; 16. MBE experiments; 17. Submonolayer deposition; 18. The roughening transition; 19. Nonlocal growth models; 20. Diffusion bias; Part V. Noise: 21. Diffusive versus deposition noise; 22. Correlated noise; 23. Rare events; Part VI. Advanced Topics: 24. Multi-affine surfaces; 25. Variants of the KPZ equation; 26. Equilibrium fluctuations and directed polymers; Part VII. Finale: 27. Summary of the continuum growth equations; 28. Outlook; Appendices; Bibliography; Index.
SynopsisFractals and surfaces are two of the most widely-studied areas of modern physics. In fact, most surfaces in nature are fractals. In this book, Drs. Barab si and Stanley explain how fractals can be successfully used to describe and predict the morphology of surface growth. The authors begin by presenting basic growth models and the principles used to develop them. They next demonstrate how models can be used to answer specific questions about surface roughness. In the second half of the book, they discuss in detail two classes of phenomena: fluid flow in porous media and molecular beam epitaxy (MBE). In each case, the authors review the model and analytical approach, and present experimental results. This book is the first attempt to unite the subjects of fractals and surfaces, and it will appeal to advanced undergraduate and graduate students in condensed matter physics and statistical mechanics. Because of the technological importance of MBE, it will also be of interest to scientists, particularly materials scientists, working in industry and research. Interested readers may view a sample chapter by contacting our web site at http: //www.cup.org/onlinepubs/Fractals/fracts1.html., This book brings together two of the most exciting and widely studied subjects in modern physics: namely fractals and surfaces. To the community interested in the study of surfaces and interfaces, it brings the concept of fractals. To the community interested in the exciting field of fractals and their application, it demonstrates how these concepts may be used in the study of surfaces. The authors cover, in simple terms, the various methods and theories developed over the past ten years to study surface growth. They describe how one can use fractal concepts successfully to describe and predict the morphology resulting from various growth processes. Consequently, this book will appeal to physicists working in condensed matter physics and statistical mechanics, with an interest in fractals and their application. The first chapter of this important new text is available on the Cambridge Worldwide Web server: http://www.cup.cam.ac.uk/onlinepubs/Textbooks/textbookstop.html, Fractals and surfaces are two of the most widely-studied areas of modern physics. In fact, most surfaces in nature are fractals. This volume explains in fundamental terms how one can successfully use fractal concepts to describe and predict the morphology of surface growth.
LC Classification NumberQC173.4.S94 B37 1995