Physics and Geometry of Disorder PDF Download
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Author: Alekseĭ Lʹvovich Ėfros
Publisher:
ISBN:
Category : Disordered solids
Languages : en
Pages : 272
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Book Description
Author: Alekseĭ Lʹvovich Ėfros
Publisher:
ISBN:
Category : Disordered solids
Languages : en
Pages : 272
Get Book Here
Book Description
Author: Efros A. L.
Publisher:
ISBN:
Category :
Languages : en
Pages : 259
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Book Description
Author: Peter Stollmann
Publisher: Springer Science & Business Media
ISBN: 1461201691
Category : Mathematics
Languages : en
Pages : 177
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Book Description
Disorder is one of the predominant topics in science today. The present text is devoted to the mathematical studyofsome particular cases ofdisordered systems. It deals with waves in disordered media. To understand the significance of the influence of disorder, let us start by describing the propagation of waves in a sufficiently ordered or regular environment. That they do in fact propagate is a basic experience that is verified by our senses; we hear sound (acoustic waves) see (electromagnetic waves) and use the fact that electromagnetic waves travel long distances in many aspects ofour daily lives. The discovery that disorder can suppress the transport properties of a medium is oneof the fundamental findings of physics. In its most prominent practical application, the semiconductor, it has revolutionized the technical progress in the past century. A lot of what we see in the world today depends on that relatively young device. The basic phenomenon of wave propagation in disordered media is called a metal-insulator transition: a disordered medium can exhibit good transport prop erties for waves ofrelatively high energy (like a metal) and suppress the propaga tion of waves of low energy (like an insulator). Here we are actually talking about quantum mechanical wave functions that are used to describe electronic transport properties. To give an initial idea of why such a phenomenon could occur, we have to recall that in physical theories waves are represented by solutions to certain partial differential equations. These equations link time derivatives to spatial derivatives.
Author: Konstantin Efetov
Publisher: Cambridge University Press
ISBN: 9780521663823
Category : Mathematics
Languages : en
Pages : 470
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Book Description
This book provides a comprehensive treatment of the ideas and applications of supersymmetry.
Author: Paolo M. Ossi
Publisher: Springer Science & Business Media
ISBN: 9783540413288
Category : Science
Languages : en
Pages : 306
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Book Description
This self-contained textbook aims to introduce the physics of structurally disordered condensed systems at the level of advanced undergraduate and graduate students. The topics discussed include the geometry and symmetries of the building blocks commonly used to obtain atomic structures, the various kinds of disorder, the phenomenology and the main theories of the glass transition, investigation of the structure of amorphous systems, the dependence of system structure on its dimensions (clusters), and the case of positional order in the absence of translational order (quasicrystals).
Author: Brian H. Kaye
Publisher: John Wiley & Sons
ISBN: 3527615989
Category : Technology & Engineering
Languages : en
Pages : 452
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Book Description
Fractal geometry is revolutionizing the descriptive mathematics of applied materials systems. Rather than presenting a mathematical treatise, Brian Kaye demonstrates the power of fractal geometry in describing materials ranging from Swiss cheese to pyrolytic graphite. Written from a practical point of view, the author assiduously avoids the use of equations while introducing the reader to numerous interesting and challenging problems in subject areas ranging from geography to fine particle science. The second edition of this successful book provides up-to-date literature coverage of the use of fractal geometry in all areas of science. From reviews of the first edition: "...no stone is left unturned in the quest for applications of fractal geometry to fine particle problems....This book should provide hours of enjoyable reading to those wishing to become acquainted with the ideas of fractal geometry as applied to practical materials problems." MRS Bulletin
Author: David R. Nelson
Publisher: Cambridge University Press
ISBN: 9780521004008
Category : Science
Languages : en
Pages : 396
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Book Description
Publisher Description
Author: D. Bideau
Publisher: North Holland
ISBN:
Category : Science
Languages : en
Pages : 360
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Book Description
Talks about the physics of the collective behavior of grains, for example forming dense packings, being in suspension in fluids. This book presents a particular aspect of granularity, starting from the geometry of irregular packings to computer modelling of flowing particles. It emphasises the important role played by disorder.
Author: Bernard F. Schutz
Publisher: Cambridge University Press
ISBN: 1107268141
Category : Science
Languages : en
Pages : 272
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Book Description
In recent years the methods of modern differential geometry have become of considerable importance in theoretical physics and have found application in relativity and cosmology, high-energy physics and field theory, thermodynamics, fluid dynamics and mechanics. This textbook provides an introduction to these methods - in particular Lie derivatives, Lie groups and differential forms - and covers their extensive applications to theoretical physics. The reader is assumed to have some familiarity with advanced calculus, linear algebra and a little elementary operator theory. The advanced physics undergraduate should therefore find the presentation quite accessible. This account will prove valuable for those with backgrounds in physics and applied mathematics who desire an introduction to the subject. Having studied the book, the reader will be able to comprehend research papers that use this mathematics and follow more advanced pure-mathematical expositions.
Author: Giorgio Parisi
Publisher: World Scientific
ISBN: 9814505617
Category : Science
Languages : en
Pages : 511
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Book Description
This volume is a collection of lectures and selected papers by Giorgio Parisi on the subjects of Field Theory (perturbative expansions, nonperturbative phenomena and phase transitions), Disordered Systems (mainly spin glasses) and Computer Simulations (lattice gauge theories).The basic problems discussed in the Field Theory section concern the interplay between perturbation theory and nonperturbative phenomena which are present when one deals with infrared or ultraviolet divergences or with nonconvergent perturbative expansions. The section on Disordered Systems contains a complete discussion about the replica method and its probabilistic interpretation, and also includes a short paper on multifractals. In the Simulations section, there is a series of lectures devoted to the study of quantum chromodynamics and a review paper on simulations in complex systems.The works of Giorgio Parisi have repeatedly displayed a remarkable depth of originality and innovation, and have paved the way for new research in many areas. This personal selection of his lectures and papers, complete with an original introduction by him, undoubtedly serves as a vital reference book for physicists and mathematicians working in these fields.
