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Fractal Concepts in Condensed Matter Physics (Springer Series in Solid-State Sciences) (v. 140)
 
 
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Fractal Concepts in Condensed Matter Physics (Springer Series in Solid-State Sciences) (v. 140) [Hardcover]

Tsuneyoshi Nakayama (Author), Kousuke Yakubo (Author)

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Book Description

3540050442 978-3540050445 August 13, 2003 1

Concisely and clearly written by two foremost scientists, this book provides a self-contained introduction to the basic concepts of fractals and demonstrates their use in a range of topics. The authors’ unified description of different dynamic problems makes the book extremely accessible.


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Editorial Reviews

Review

From the reviews:

"The book provides a complete view of the fractals structures in condensed matter. Each chapter has got clear and advanced theory about the subject, gives many applications on various domains and … gives numerical simulation and experiment process. … This book could be used by those who want very advanced introduction on fractal theory and the others who research a performant work tool on the subject." (Olivier Vanoverschelde, Physicalia, Vol. 57 (3), 2005)

"The presentation is pedagogical and it starts off from elementary considerations. … To my mind the most exciting feature of the book is the treatment of the so-called Anderson transition. … I find this book both timely and inspiring. It is well written, its arguments are clearly presented and it covers areas of physics where significant progress has taken place over the last decades. I can recommend it both to students of condensed matter and experienced researchers who want an orientation in this timely area." (Professor S. Stenholm, Contemporary Physics, Vol. 45 (4), 2004)

From the Back Cover

Concisely and clearly written, this book provides a self-contained introduction to the basic concepts of fractals and demonstrates their use in a range of topics in condensed matter physics and statistical mechanics. The first part outlines different fractal structures observed in condensed matter. The main part of the book is dedicated to the dynamical behaviour of fractal structures, including anomalous and percolating systems. The concept of multifractals is illustrated for the metal-insulator quantum phase transition. The authors emphasizes the unified description of these different dynamic problems, thus making the book accessible to readers who are new to the field.

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Inside This Book (learn more)
First Sentence:
Fractals provide a simple description of complex structures in nature and are currently used in almost every branch of condensed matter physics. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
critical wavefunction, percolating antiferromagnets, forced oscillator method, fracton excitations, stretching fractons, fracton regime, bending fractons, percolating networks, vector elasticity, multifractal exponents, missing modes, correlation box, multifractal spectrum, scalar displacements, multifractal distributions, percolating systems, fractal networks, mass exponent, multifractal properties, mean level spacing, multifractal analysis, random magnetic field, spectral dimension, scaling amplitude, extended regime
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