Aperiodic Order

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Aperiodic Structures In Condensed Matter
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Author : Enrique Macia Barber
language : en
Publisher: CRC Press
Release Date : 2008-11-21
Aperiodic Structures In Condensed Matter written by Enrique Macia Barber and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-21 with Science categories.
One of the Top Selling Physics Books according to YBP Library ServicesOrder can be found in all the structures unfolding around us at different scales, including in the arrangements of matter and in energy flow patterns. Aperiodic Structures in Condensed Matter: Fundamentals and Applications focuses on a special kind of order referred to as aperiod
Mathematics Of Aperiodic Order
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Author : Johannes Kellendonk
language : en
Publisher: Birkhäuser
Release Date : 2015-06-05
Mathematics Of Aperiodic Order written by Johannes Kellendonk and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-05 with Mathematics categories.
What is order that is not based on simple repetition, that is, periodicity? How must atoms be arranged in a material so that it diffracts like a quasicrystal? How can we describe aperiodically ordered systems mathematically? Originally triggered by the – later Nobel prize-winning – discovery of quasicrystals, the investigation of aperiodic order has since become a well-established and rapidly evolving field of mathematical research with close ties to a surprising variety of branches of mathematics and physics. This book offers an overview of the state of the art in the field of aperiodic order, presented in carefully selected authoritative surveys. It is intended for non-experts with a general background in mathematics, theoretical physics or computer science, and offers a highly accessible source of first-hand information for all those interested in this rich and exciting field. Topics covered include the mathematical theory of diffraction, the dynamical systems of tilings or Delone sets, their cohomology and non-commutative geometry, the Pisot substitution conjecture, aperiodic Schrödinger operators, and connections to arithmetic number theory.
Aperiodic Order Volume 1 A Mathematical Invitation
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Author : Michael Baake
language : en
Publisher: Cambridge University Press
Release Date : 2013-08-22
Aperiodic Order Volume 1 A Mathematical Invitation written by Michael Baake and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-22 with Mathematics categories.
Quasicrystals are non-periodic solids that were discovered in 1982 by Dan Shechtman, Nobel Prize Laureate in Chemistry 2011. The underlying mathematics, known as the theory of aperiodic order, is the subject of this comprehensive multi-volume series. This first volume provides a graduate-level introduction to the many facets of this relatively new area of mathematics. Special attention is given to methods from algebra, discrete geometry and harmonic analysis, while the main focus is on topics motivated by physics and crystallography. In particular, the authors provide a systematic exposition of the mathematical theory of kinematic diffraction. Numerous illustrations and worked-out examples help the reader to bridge the gap between theory and application. The authors also point to more advanced topics to show how the theory interacts with other areas of pure and applied mathematics.
Aperiodic Order
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Author : Michael Baake
language : en
Publisher: Cambridge University Press
Release Date : 2013
Aperiodic Order written by Michael Baake and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematics categories.
The second volume in a series exploring the mathematics of aperiodic order. Covers various aspects of crystallography.
Aperiodic Order
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Author : Michael Baake
language : en
Publisher: Cambridge University Press
Release Date : 2013-08-22
Aperiodic Order written by Michael Baake and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-22 with Mathematics categories.
A comprehensive introductory monograph on the theory of aperiodic order, with numerous illustrations and examples.
Optics Of Aperiodic Structures
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Author : Luca Dal Negro
language : en
Publisher: CRC Press
Release Date : 2013-12-21
Optics Of Aperiodic Structures written by Luca Dal Negro and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-21 with Science categories.
This book presents state-of-the-art contributions from a number of leading experts that actively work worldwide in the rapidly growing, highly interdisciplinary, and fascinating fields of aperiodic optics and complex photonics. Edited by Luca Dal Negro, a prominent researcher in these areas of optical science, the book covers the fundamental, compu
Aperiodic Order Volume 2 Crystallography And Almost Periodicity
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Author : Michael Baake
language : en
Publisher: Cambridge University Press
Release Date : 2017-11-02
Aperiodic Order Volume 2 Crystallography And Almost Periodicity written by Michael Baake and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-02 with Mathematics categories.
Quasicrystals are non-periodic solids that were discovered in 1982 by Dan Shechtman, Nobel Prize Laureate in Chemistry 2011. The mathematics that underlies this discovery or that proceeded from it, known as the theory of Aperiodic Order, is the subject of this comprehensive multi-volume series. This second volume begins to develop the theory in more depth. A collection of leading experts, among them Robert V. Moody, cover various aspects of crystallography, generalising appropriately from the classical case to the setting of aperiodically ordered structures. A strong focus is placed upon almost periodicity, a central concept of crystallography that captures the coherent repetition of local motifs or patterns, and its close links to Fourier analysis. The book opens with a foreword by Jeffrey C. Lagarias on the wider mathematical perspective and closes with an epilogue on the emergence of quasicrystals, written by Peter Kramer, one of the founders of the field.
Plasmonics Theory And Applications
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Author : Tigran V. Shahbazyan
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-01-09
Plasmonics Theory And Applications written by Tigran V. Shahbazyan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-09 with Science categories.
This contributed volume summarizes recent theoretical developments in plasmonics and its applications in physics, chemistry, materials science, engineering, and medicine. It focuses on recent advances in several major areas of plasmonics including plasmon-enhanced spectroscopies, light scattering, many-body effects, nonlinear optics, and ultrafast dynamics. The theoretical and computational methods used in these investigations include electromagnetic calculations, density functional theory calculations, and nonequilibrium electron dynamics calculations. The book presents a comprehensive overview of these methods as well as their applications to various current problems of interest.
Silicon Versus Carbon
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Author : Yuri Magarshak
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-05-21
Silicon Versus Carbon written by Yuri Magarshak and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-05-21 with Technology & Engineering categories.
Even though there is no generally accepted definition of nanotechnologies to be defined as distinct discipline there is an emerging consensus that their advent and development is a growing in importance factor of the contemporary and future technological civilization. One of these most fundamental issues we are confronted with is the compatibility with life itself. From single cell organisms to humans, carbon is a key building block of all molecular structures of life. In contrast the man created electronic industry to build on other elements, of which silicon is the most common. Both carbon and silicon create molecular chains, although different in their internal structure. All life is built from carbon-based chains. As long as the man built technological products do not directly interfere with the physiology of life the associated risks from them are relatively easy to identify. They are primarily in the environmental pollution and the possibility of upsetting the natural balance of biocoenosis, on a planetary scale. The basic life functions are still not directly subverted. We can use TV, computers, drive cars and use other technological utilities without fear of direct interference with our cellular functions. This is in particular because all these technological utilities are many orders of magnitude larger than typical scales of biological activity. Most of biological activity, from fermentative catalysis to DNA replication takes place on nanoscale. The situation is radically different when the technological goals are building nanoscale size products. All biological processes take place on nanoscale.
Quasicrystals And Discrete Geometry
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Author : Jiri Patera
language : en
Publisher: American Mathematical Soc.
Release Date : 1998-01-01
Quasicrystals And Discrete Geometry written by Jiri Patera and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-01-01 with Science categories.
Comprising the proceedings of the fall 1995 semester program arranged by The Fields Institute at the U. of Toronto, Ontario, Canada, this volume contains eleven contributions which address ordered aperiodic systems realized either as point sets with the Delone property or as tilings of a Euclidean space. This collection of articles aims to bring into the mainstream of mathematics and mathematical physics this developing field of study integrating algebra, geometry, Fourier analysis, number theory, crystallography, and theoretical physics. Annotation copyrighted by Book News, Inc., Portland, OR