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Fractal Concepts in Condensed Matter Physics de Tsuneyoshi Nakayama

Fractal Concepts in Condensed Matter Physics: Springer Series in Solid-State Sciences, cartea 140

Autor Tsuneyoshi Nakayama, Kousuke Yakubo
en Limba Engleză Hardback – 11 iul 2003
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 emphasize 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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Specificații

ISBN-13: 9783540050445
ISBN-10: 3540050442
Pagini: 224
Ilustrații: XIII, 210 p.
Dimensiuni: 155 x 235 x 18 mm
Greutate: 0.53 kg
Ediția:2003
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Springer Series in Solid-State Sciences

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

1. Introduction.- 2. Fractals.- 3. Percolating Networks as Random Fractals.- 4. Multifractals.- 5. Anomalous Diffusion on Fractal Networks.- 6. Atomic Vibrations of Percolating Networks.- 7. Scaling Arguments for Dynamic Structure Factors.- 8. Spin Waves in Diluted Heisenberg Antiferromagnets.- 9. Anderson Transition.- 10. Multifractals in the Anderson Transition.- Appendices.- A. Multifractality of the HRN Model.- B. Spectral Dimensions for Deterministic Fractals.- B.1 Sierpinski Gasket.- B.2 Mandelbrot-Given Fractal.- C. Diffusion and Dynamics on Networks.- C.1 Atomic Vibrations.- C.2 Spin Waves in Diluted Ferro- and Antiferromagnets.- C.3 Superconducting Networks.- D. Wigner Distributions.- References.

Recenzii

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)

Textul de pe ultima copertă

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.

Caracteristici

Self-contained introduction to the concept of fractals in condensed-matter systems Suited to newcomers to the field Includes supplementary material: sn.pub/extras