Ebook: From Quasicrystals to More Complex Systems: Les Houches School, February 23 – March 6, 1998

The prime objective of this book is to bring about a fundamental understanding of aperiodic solids with long range order (incommensurate phases, quasicrystals), and of glasses and more complex systems (fractal, chaotic). It provides a comprehensive insight into the most recent concepts and tools of Condensed Matter Physics. The first part of this book is devoted to methods and results on quasicrystals. Next, it deals with models and concepts currently at work in studies on aperiodic media and phenomena. The third part is devoted to glasses, and to dynamical systems as applied to condensed matter with emphasis on the most salient experimental and theoretical developments on fractal and multifractal analysis relevant to the fields. The deliberate pedagogical aim of the School also stands out in the Glossary written by the Editors, with suggestions by the Authors. It will help the readers, - particularly the experimentalists, - to find their way throughout the book.

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The prime objective of this book is to bring about a fundamental understanding of aperiodic solids with long range order (incommensurate phases, quasicrystals), and of glasses and more complex systems (fractal, chaotic). It provides a comprehensive insight into the most recent concepts and tools of Condensed Matter Physics. The first part of this book is devoted to methods and results on quasicrystals. Next, it deals with models and concepts currently at work in studies on aperiodic media and phenomena. The third part is devoted to glasses, and to dynamical systems as applied to condensed matter with emphasis on the most salient experimental and theoretical developments on fractal and multifractal analysis relevant to the fields. The deliberate pedagogical aim of the School also stands out in the Glossary written by the Editors, with suggestions by the Authors. It will help the readers, - particularly the experimentalists, - to find their way throughout the book.

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The prime objective of this book is to bring about a fundamental understanding of aperiodic solids with long range order (incommensurate phases, quasicrystals), and of glasses and more complex systems (fractal, chaotic). It provides a comprehensive insight into the most recent concepts and tools of Condensed Matter Physics. The first part of this book is devoted to methods and results on quasicrystals. Next, it deals with models and concepts currently at work in studies on aperiodic media and phenomena. The third part is devoted to glasses, and to dynamical systems as applied to condensed matter with emphasis on the most salient experimental and theoretical developments on fractal and multifractal analysis relevant to the fields. The deliberate pedagogical aim of the School also stands out in the Glossary written by the Editors, with suggestions by the Authors. It will help the readers, - particularly the experimentalists, - to find their way throughout the book.
Content:
Front Matter....Pages I-XX
Dynamics and Transport Properties of Aperiodic Crystals....Pages 1-22
Diffraction Experiments on Quasicrystals and Related Phases....Pages 23-48
Electronic Properties of Quasicrystals. A Comparison with Approximant Phases and Disordered Systems....Pages 49-83
Exact Electron States in 1D (Quasi-) Periodic Arrays of Delta-Potentials....Pages 85-114
Random Tiling Models for Quasicrystals....Pages 115-143
Model Sets: A Survey....Pages 145-166
Acceptance Windows Compatible with a Quasicrystal Fragment....Pages 167-193
Counting Systems with Irrational Basis for Quasicrystals....Pages 195-217
Acoustic-Like Excitations in Strongly Disordered Media....Pages 219-259
Intermittent Dynamics and Ageing in Glassy Systems....Pages 261-271
A Short Introduction to Ergodic Theory and Its Applications....Pages 273-289
Fractality and the Kinetics of Chaos....Pages 291-314
Long-Tailed Distributions in Physics....Pages 315-328
Distribution of Galaxies: Scaling vs. Fractality....Pages 329-344
Back Matter....Pages 345-374

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The prime objective of this book is to bring about a fundamental understanding of aperiodic solids with long range order (incommensurate phases, quasicrystals), and of glasses and more complex systems (fractal, chaotic). It provides a comprehensive insight into the most recent concepts and tools of Condensed Matter Physics. The first part of this book is devoted to methods and results on quasicrystals. Next, it deals with models and concepts currently at work in studies on aperiodic media and phenomena. The third part is devoted to glasses, and to dynamical systems as applied to condensed matter with emphasis on the most salient experimental and theoretical developments on fractal and multifractal analysis relevant to the fields. The deliberate pedagogical aim of the School also stands out in the Glossary written by the Editors, with suggestions by the Authors. It will help the readers, - particularly the experimentalists, - to find their way throughout the book.
Content:
Front Matter....Pages I-XX
Dynamics and Transport Properties of Aperiodic Crystals....Pages 1-22
Diffraction Experiments on Quasicrystals and Related Phases....Pages 23-48
Electronic Properties of Quasicrystals. A Comparison with Approximant Phases and Disordered Systems....Pages 49-83
Exact Electron States in 1D (Quasi-) Periodic Arrays of Delta-Potentials....Pages 85-114
Random Tiling Models for Quasicrystals....Pages 115-143
Model Sets: A Survey....Pages 145-166
Acceptance Windows Compatible with a Quasicrystal Fragment....Pages 167-193
Counting Systems with Irrational Basis for Quasicrystals....Pages 195-217
Acoustic-Like Excitations in Strongly Disordered Media....Pages 219-259
Intermittent Dynamics and Ageing in Glassy Systems....Pages 261-271
A Short Introduction to Ergodic Theory and Its Applications....Pages 273-289
Fractality and the Kinetics of Chaos....Pages 291-314
Long-Tailed Distributions in Physics....Pages 315-328
Distribution of Galaxies: Scaling vs. Fractality....Pages 329-344
Back Matter....Pages 345-374
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