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Fractal Concepts in Surface Growth [Paperback]

Albert-Laszlo Barabasi (Author), Harry Eugene Stanley (Author)
5.0 out of 5 stars  See all reviews (3 customer reviews)

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Book Description

April 28, 1995 0521483182 978-0521483186 1
Fractals 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. Barabási 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.

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Editorial Reviews

Review

"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

"...a useful, clear and thorough presentation of the field of surface growth." Dietrich Wolf, HLRZ

"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

"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....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

"...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

Product Details

  • Paperback: 388 pages
  • Publisher: Cambridge University Press; 1 edition (April 28, 1995)
  • Language: English
  • ISBN-10: 0521483182
  • ISBN-13: 978-0521483186
  • Product Dimensions: 9.6 x 7.4 x 0.9 inches
  • Shipping Weight: 1.6 pounds (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (3 customer reviews)
  • Amazon Best Sellers Rank: #1,044,376 in Books (See Top 100 in Books)

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7 of 7 people found the following review helpful:
5.0 out of 5 stars Fractal Concepts in Surface Growth, May 15, 2001
By A Customer
This review is from: Fractal Concepts in Surface Growth (Paperback)
This is the first book I have so far encountered on interface growth to treat the subject in a simple, intuitive and entertaining manner. All the basic mathematical concepts are explained, the book is easy to read and contains plenty of illustrations and examples from real life. Barabasi and Stanley show how processes ranging from accumulation of snow on car windows, to bacterial colony growth on agar surfacees, are governed by similiar mathematical laws. Exercises are conceptual as well as mathematical, with many questions asking for discussion or further research. This book is essential for novices and experts alike.
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3 of 3 people found the following review helpful:
5.0 out of 5 stars Good on self affine scaling, April 14, 2004
This review is from: Fractal Concepts in Surface Growth (Paperback)
I'm not into surfaces and have only used a small part of this book for one purpose: for an introduction to self affine scaling. The topic is presented very systematically, with nice examples. Especially nice is the binomial model of multiaffine scaling. Multiaffine scaling is supposed to appear in "soft" fluid turbulence and is often mislabeled multifractal scaling, which is a horse of a different color altogether!
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1 of 22 people found the following review helpful:
5.0 out of 5 stars gives science growth that generates a increase in human life, February 1, 1999
By A Customer
This review is from: Fractal Concepts in Surface Growth (Paperback)
This book does not deseves critics in completelly perfect
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Inside This Book (learn more)
First Sentence:
Most of our life takes place on the surface of something. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
continuum growth equations, nonconservative noise, quenched noise, one noise term, depinning transition, deposition noise, consecutive slopes, roughness exponent, diffusive noise, random deposition model, large local slopes, paper rupture, roughening process, ballistic deposition model, linear growth equation, roughening transition, pinned interface, diffusion bias, saturation width, different system sizes, scaling exponents, quenched randomness, kinetic roughening, interface width, sandpile model
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Das Sarma-Tamborenea, Monte Carlo
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