Aperiodic'97 - Proceedings Of The International Conference On Aperiodic Crystals

Aperiodic'97 - Proceedings Of The International Conference On Aperiodic Crystals PDF

Author: Roland Currat

Publisher: World Scientific

Published: 1999-01-29

Total Pages: 830

ISBN-13: 9814545228

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This book deals with various aspects of aperiodic crystals, quasicrystals, incommensurate crystals, composite crystals, modulated crystals and polytypes. It is mainly oriented towards crystallographic investigations and to the search for new theoretical and methodological methods aiming to model this state of matter and to understand the links between the structure and the properties. Basically multidisciplinary, the book covers many fields of aperiodic crystals, from materials science to mathematics.

Aperiodic Crystals

Aperiodic Crystals PDF

Author: Siegbert Schmid

Publisher: Springer Science & Business Media

Published: 2013-04-19

Total Pages: 280

ISBN-13: 9400764316

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Aperiodic Crystals collects 37 selected papers from the scientific contributions presented at Aperiodic 2012 - the Seventh International Conference on Aperiodic Crystalsheld held in Cairns, Australia, 2-7 of September 2012. The volume discusses state-of-the-art discoveries, new trends and applications of aperiodic crystals - including incommensurately modulated crystals, composite crystals, and quasicrystals - from a wide range of different perspectives. Starting with a general historical introduction to aperiodic crystals, the book proceeds to examine the complex mathematics of aperiodic long-range order, as well as the theoretical approaches aimed at understanding some of the unique properties and mechanisms underlying the existence of aperiodic crystals. The book then explores in detail such topics as complex metallic alloys, modulated structures, quasicrystals and their approximants, dynamics, disorder and defects in quasicrystals. It concludes with an analysis of quasicrystal surfaces and their properties. By describing the latest research and the progress made on the structure determination of aperiodic crystals and the influence of this unique structure on their physical properties, this book represents a valuable resource to mathematicians, crystallographers, physicists, chemists, materials and surface scientists, and even architects and artists, interested in the fascinating nature of aperiodic crystals.

Physical Properties of Quasicrystals

Physical Properties of Quasicrystals PDF

Author: Zbigniew M. Stadnik

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 450

ISBN-13: 3642584349

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Quasicrystals are a new form of the solid state which differ from the other two known forms, crystalline and amorphous, by possesing a new type of long-range translational order, called quasiperiodicty, and a noncrystallographic orientational order. This book provides an up-to-date description of the unusual physical properties of these new materials. Emphasis is placed on the experimental results, which are compared with those of the corresponding crystalline and amorphous systems and discussed in terms of modern theoretical models. Written by leading authorities in the field, the book will be of great use both to experienced workers in the field and to uninitiated graduate students.

Quasicrystals: The State Of The Art (2nd Edition)

Quasicrystals: The State Of The Art (2nd Edition) PDF

Author: David Divincenzo

Publisher: World Scientific

Published: 1999-11-16

Total Pages: 635

ISBN-13: 9814493902

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Quasicrystals: The State of the Art has proven to be a useful introduction to quasicrystals for mathematicians, physicists, materials scientists, and students. The original intent was for the book to be a progress report on recent developments in the field. However, the authors took care to adopt a broad, pedagogical approach focusing on points of lasting value. Many subtle and beautiful aspects of quasicrystals are explained in this book (and nowhere else) in a way that is useful for both the expert and the student.In this second edition, some authors have appended short notes updating their essays. Two new chapters have been added. Chapter 16, by Goldman and Thiel, reviews the experimental progress since the first edition (1991) in making quasicrystals, determining their structure, and finding applications. In Chapter 17, Steinhardt discusses the quasi-unit cell picture, a promising, new approach for describing the structure and growth of quasicrystals in terms of a single, repeating, overlapping cluster of atoms.

Mathematical Models in the Biosciences II

Mathematical Models in the Biosciences II PDF

Author: Michael Frame

Publisher: Yale University Press

Published: 2021

Total Pages: 493

ISBN-13: 0300253699

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Volume Two of an award-winning professor's introduction to essential concepts of calculus and mathematical modeling for students in the biosciences This is the second of a two-part series exploring essential concepts of calculus in the context of biological systems. Building on the essential ideas and theories of basic calculus taught in Mathematical Models in the Biosciences I, this book focuses on epidemiological models, mathematical foundations of virus and antiviral dynamics, ion channel models and cardiac arrhythmias, vector calculus and applications, and evolutionary models of disease. It also develops differential equations and stochastic models of many biomedical processes, as well as virus dynamics, the Clancy-Rudy model to determine the genetic basis of cardiac arrhythmias, and a sketch of some systems biology. Based on the author's calculus class at Yale, the book makes concepts of calculus less abstract and more relatable for science majors and premedical students.

Statistical Physics and Spatial Statistics

Statistical Physics and Spatial Statistics PDF

Author: Klaus R. Mecke

Publisher: Springer

Published: 2008-01-11

Total Pages: 420

ISBN-13: 3540450432

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Modern physics is confronted with a large variety of complex spatial patterns. Although both spatial statisticians and statistical physicists study random geometrical structures, there has been only little interaction between the two up to now because of different traditions and languages. This volume aims to change this situation by presenting in a clear way fundamental concepts of spatial statistics which are of great potential value for condensed matter physics and materials sciences in general, and for porous media, percolation and Gibbs processes in particular. Geometric aspects, in particular ideas of stochastic and integral geometry, play a central role throughout. With nonspecialist researchers and graduate students also in mind, prominent physicists give an excellent introduction here to modern ideas of statistical physics pertinent to this exciting field of research.

Annual Reviews Of Computational Physics Viii

Annual Reviews Of Computational Physics Viii PDF

Author: Dietrich Stauffer

Publisher: World Scientific

Published: 2000-12-22

Total Pages: 351

ISBN-13: 9814491691

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This volume is based on an international school on “Scaling and Disordered Systems” organized by M R H Khajehpour, M R Kolahchi and M Sahimi. Despite the common theme, it covers fields as diverse as basic and applied percolation, and biological prey-predator and ageing simulations. The advantages of computer simulation thus become particularly clear in the reviews, which have been written by leading experts.

Useful Quasicrystals

Useful Quasicrystals PDF

Author: Jean-Marie Dubois

Publisher: World Scientific

Published: 2005

Total Pages: 506

ISBN-13: 9810232543

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The aim of this book is to acquaint the reader with what the authors regard as the most basic characteristics of quasicrystals -- structure, formation and stability, and properties -- in relationship with the applications of quasicrystalline materials. Quasicrystals are fascinating substances that form a family of specific structures with strange physical, chemical and mechanical properties as compared to those of metallic alloys. This, on the one hand, requires a generalization of the crystallographic description of solids and is still stimulating intensive research to understand the most basic properties of quasicrystals. On the other hand, these properties open the way to technological applications, demonstrated or potential, mostly regarding energy savings. This valuable book discusses those various facets of quasicrystals in six chapters, ending with the authors' own interpretation of the properties with respect to their unique structure.

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