From Quasicrystals to More Complex Systems [electronic resource] : Les Houches School, February 23 - March 6, 1998 / edited by Franรงoise Axel, Franรงoise Dรฉnoyer, Jean-Pierre Gazeau
Imprint
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2000
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
Course 1 Dynamics and Transport Properties of Aperiodic Crystals -- Course 2 Diffraction Experiments on Quasicrystals and Related Phases -- Course 3 Electronic Properties of Quasicrystals. A Comparison with Approximant Phases and Disordered Systems -- Course 4 Exact Electron States in 1D (Quasi-) Periodic Arrays of Delta-Potentials -- Course 5 Random Tiling Models for Quasicrystals -- Course 6 Model Sets: A Survey -- Course 7 Acceptance Windows Compatible with a Quasicrystal Fragment -- Course 8 Counting Systems with Irrational Basis for Quasicrystals -- Course 9 Acoustic-Like Excitations in Strongly Disordered Media -- Course 10 Intermittent Dynamics and Ageing in Glassy Systems -- Course 11 A Short Introduction to Ergodic Theory and Its Applications -- Course 12 Fractality and the Kinetics of Chaos -- Course 13 Long-Tailed Distributions in Physics -- Course 14 Distribution of Galaxies: Scaling vs. Fractality
Mathematics
System theory
Physics
Condensed matter
Statistical physics
Dynamical systems
Mathematics
Complex Systems
Condensed Matter Physics
Statistical Physics Dynamical Systems and Complexity
