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Diffusion and Reactions in Fractals and Disordered Systems
 
 
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Diffusion and Reactions in Fractals and Disordered Systems [Paperback]

Daniel ben-Avraham (Author), Shlomo Havlin (Author)
3.0 out of 5 stars  See all reviews (2 customer reviews)

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Book Description

0521617200 978-0521617208 January 20, 2005
Fractal structures are found everywhere in nature, and as a consequence anomalous diffusion has far reaching implications in a host of phenomena. This book describes diffusion and transport in disordered media such as fractals, porous rocks and random resistor networks. Part I contains material of general interest to statistical physics: fractals, percolation theory, regular random walks and diffusion, continuous time random walks and Levy walks, and flights. Part II covers anomalous diffusion in fractals and disordered media, while Part III serves as an introduction to the kinetics of diffusion-limited reactions. Part IV discusses the problem of diffusion-limited coalescence in one dimension. This book will be of particular interest to researchers requiring a clear introduction to the field. It will also be a valuable source to graduate students studying in areas of physics, chemistry, and engineering.

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Editorial Reviews

Review

"incredibly well-done introduction into the subject matter...takes the reader from the very basic concepts to the most recent developments...tour-de-force...I can wholeheartedly recommend this book to students and to mature scientist alike; it is beautifully written and it contains a wealth of information. Hence, if you cannot but it (price is, however, not unreasonable) then beg, borrow or steal it." CHEMPHYSCHEM 2001

"invaluable...the best introduction to the field of diffusion-limited reactions...essential for anyone wishing to develop an understanding of anomalous diffusion in disordered medis and to be paeticularly accessible to graduate students and young researchers." amazon.cpm

Book Description

Fractal structures are found everywhere in nature, and as a consequence anomalous diffusion has far reaching implications in a host of phenomena. This book describes diffusion and transport in disordered media such as fractals, porous rocks and random resistor networks. This book will be of particular interest to researchers requiring a clear introduction to the field. It will also be of interest to graduate students studying in areas of physics, chemistry, and engineering.

Product Details

  • Paperback: 332 pages
  • Publisher: Cambridge University Press (January 20, 2005)
  • Language: English
  • ISBN-10: 0521617200
  • ISBN-13: 978-0521617208
  • Product Dimensions: 9.7 x 7.4 x 0.7 inches
  • Shipping Weight: 1.5 pounds (View shipping rates and policies)
  • Average Customer Review: 3.0 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Best Sellers Rank: #644,818 in Books (See Top 100 in Books)

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5 of 5 people found the following review helpful:
5.0 out of 5 stars A fantastic introduction to the field..., June 22, 2001
I am a graduate student in statistical physics with a primary interest in diffusion-limited reactions. I have found the above book to be invaluable, so much so that I'm disappointed that I didn't know about it earlier, as I'm sure it would have accelerated my understanding. It is, in my opinion, the best introduction to the field of diffusion-limited reactions that I'm aware of and certainly makes the research literature in this area much more accessible. I have also found the other sections of the book to be particularly illuminating and essential background reading, with Part I covering many of the principles of statistical physics. Each chapter contains a list of exercises to enhance understanding of the material and a list of "Open Challenges" which provoke new avenues of research. I personally think that the book references the research literature extremely well (indeed the authors have themselves made substantial contributions to the field) which makes it easy to pursue further details on areas of interest. I regard the book as essential for anyone wishing to develop an understanding of anomalous diffusion in disordered media and to be particularly accessible to graduate students and young researchers. It has certainly made it easier for me to make the transition from student to researcher in this area of statistical physics.
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1.0 out of 5 stars Poor printing quality, October 29, 2011
Amazon Verified Purchase(What's this?)
This review is from: Diffusion and Reactions in Fractals and Disordered Systems (Paperback)
This review is about the material quality of the printing in the copy I received. This is not about the content.

I have access to a real copy of this edition in the local library. It is the usual quality book: beautifully bound; the paper inside is high-quality, very soft and slightly off-white; and the printing of the text is very sharp. The version I received from Amazon claimed to be exactly the same, but was very different:
- The paper inside is whiter, horribly white, like standard printing A4 paper;
- The text printing looks like a cheap photocopy of the original. It don't even match a home laser printer. Some formulas are difficult to read. Moreover, some pages are not even centered.

It looks and feels like a cheap knock-off photocopy done in a garage. Authors should avoid their work being degraded with this cheap printing.
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Inside This Book (learn more)
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First Sentence:
Fractals model disorder in Nature far more successfully than do objects of classical geometry. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
loopless fractals, reversible coalescence, interparticle distribution functions, effective rate equations, topological bias, incipient infinite percolation cluster, classical rate equations, incipient infinite cluster, fracton dimension, regular random walks, annihilating random walks, annihilation model, lattice animals, percolation system, transport exponents, myopic ant, percolation clusters, discrete fluctuations, chemical distance, red bonds, coalescence reaction, mobile trap, biased diffusion, fractal lattices, polynomial trees
Key Phrases - Capitalized Phrases (CAPs): (learn more)
After Havlin, Monte Carlo
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