Aperiodic Structures in Condensed Matter: Fundamentals and Applications
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Features
- Examines the role of aperiodic order in science and technology
- Presents several aspects of various aperiodic systems, including physical and structural properties
- Illustrates how to properly study physical systems through useful mathematical approaches, such as quasiperiodic lattices, effective Hamiltonians, and transfer matrices
- Explores applications in multilayered optical systems, photonic and phononic quasicrystals, complex metallic alloys, and DNA-based devices
Summary
One of the Top Selling Physics Books according to YBP Library Services
Order 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 aperiodic order.
The book covers several topics dealing with the role of aperiodic order in numerous domains of the physical sciences and technology. It first presents the most characteristic features of various aperiodic systems. The author then describes theoretical aspects and useful mathematical approaches to properly study the physical systems. Focusing on applied issues, he discusses how to exploit aperiodic order in different technological devices. The author also examines one-, two-, and three-dimensional designs.
For those new to the field of aperiodic systems, this book is an excellent guide to the many facets and applications of aperiodic structures.
Table of Contents
Orderings of Matter
Periodic thinking in physical sciences
The realm of periodic crystals
Superimposed periods
Order at different scales
Scale invariance and fractal geometry
Hierarchical architecture of biomolecules
The role of correlated disorder
Long-range correlations: the DNA case
The Notion of Aperiodic Crystal
Order without periodicity
Bringing in icosahedral thought
Beautiful forbidden symmetries
Unveiling Pythagorean dreams
Crystallography in six dimensions
IUCr: A new definition of crystal
Aperiodic crystals classification schemes
Some milestones in the aperiodic crystal route
Quasiperiodic Crystals
Quasicrystalline alloys
Quasicrystals as a hierarchy of clusters
Electronic structure of icosahedral quasicrystals
Phenomenological transport models
Aperiodically Layered Materials
A novel design: Fibonacci superlattices
General aperiodic heterostructures
Signatures of quasiperiodicity
One-Dimensional Quasiperiodic Models
Effective one-dimensional systems
Classification schemes based on spectral properties
Remarkable properties of singular continuous spectra
Frequency spectra of general Fibonacci lattices
Nature of critical states in aperiodic systems
The role of critical states in transport properties
Transport properties of Fibonacci superlattices
Beyond one-dimensional models
The Aperiodic Crystal of Life
The double helix
Electronic structure of nucleic acids
Charge transfer in DNA: what experiments say
Modeling charge migration in DNA
Long-range correlations: the biophysicist viewpoint
Exploiting Aperiodic Order in Technological Devices
Periodic versus aperiodic
Layered systems
Photonic and phononic quasicrystals
Complex metallic alloys
DNA-based nanoelectronics
Novel Designs Based on the Aperiodic Order
Order and design: the technological viewpoint
One-dimensional designs
Two- and three-dimensional designs
Beyond quasiperiodic order: aperiodicity by design
Some open questions
Mathematical Tools
Almost periodic and quasiperiodic functions
Transfer matrix technique
Trace map formalism
Renormalization matrix methods
Diagnostic tools
Editorial Reviews
… This superb book introduces one to the science of aperiodic structures. I would recommend it to anyone with more than a fleeting interest in taking their education beyond that of the oft-treated-in-undergraduate-courses regular, infinitely repeating, crystal lattice or the periodic Fourier series expansion of repeat structures. Here we have a text which gently introduces the wonderful world of aperiodicity and then takes one on a stroll through some of the scientific examples of interest. … an excellent book … Unfamiliar concepts are introduced gently with some nice historical background and one is not often weighed down by too much technical detail. For postgraduate researchers who may wish to familiarise themselves with the fascinating world of aperiodicity, this is a must read.
—J.R. Sambles, Contemporary Physics, Vol. 51, Issue 4, July 2010
