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Author: Efros A. L.
Publisher:
ISBN:
Category :
Languages : en
Pages : 259
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Book Description
Author: Efros A. L.
Publisher:
ISBN:
Category :
Languages : en
Pages : 259
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Book Description
Author: Alekseĭ Lʹvovich Ėfros
Publisher:
ISBN:
Category : Disordered solids
Languages : en
Pages : 272
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Book Description
Author: Armin Bunde
Publisher: Springer Science & Business Media
ISBN: 3642848680
Category : Science
Languages : en
Pages : 428
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Book Description
Fractals and disordered systems have recently become the focus of intense interest in research. This book discusses in great detail the effects of disorder on mesoscopic scales (fractures, aggregates, colloids, surfaces and interfaces, glasses and polymers) and presents tools to describe them in mathematical language. A substantial part is devoted to the development of scaling theories based on fractal concepts. In ten chapters written by leading experts in the field, the reader is introduced to basic concepts and techniques in disordered systems and is led to the forefront of current research. This second edition has been substantially revised and updates the literature in this important field.
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 Ossi
Publisher: Springer Science & Business Media
ISBN: 3540296107
Category : Science
Languages : en
Pages : 329
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Book Description
The teaching of solid state physics essentially concerns focusing on crystals and their properties. We study crystals and their properties because of the simple and elegant results obtained from the analysis of a spatially periodic system; this is why the analysis can be made considering a small set of atoms that represent the whole system of many particles. In contrast to the formal neat approach to crystals, the study of str- turally disordered condensed systems is somewhat complicated and often leads to relatively imprecise results, not to mention the experimental and computational e?ort involved. As such, almost all university textbooks, - cluding the advanced course books, only brie?y touch on the physics of am- phous systems. In any case, both the fundamental aspect and the ever wider industrial applications have given structurally disordered matter a role that should not be overlooked. The study of amorphous solids and their structure, stability and properties is a vibrant research branch; it is di?cult to imagine how any physicist, chemist or engineer who has to deal with materials could possibly ignore this class of systems. The author of Disordered Matter – an Introduction uses this course book atthePolitecnicoinMilan,Italy.Collectingthematerialforthecourseproved no mean task, leading him to have to prepare ad hoc didactic material. The continualexchangebetweenteacherandstudenthasledtothepresentversion of the book.
Author: Paolo M. Ossi
Publisher: Springer
ISBN: 9783540296096
Category : Science
Languages : en
Pages : 329
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Book Description
The teaching of solid state physics essentially concerns focusing on crystals and their properties. We study crystals and their properties because of the simple and elegant results obtained from the analysis of a spatially periodic system; this is why the analysis can be made considering a small set of atoms that represent the whole system of many particles. In contrast to the formal neat approach to crystals, the study of str- turally disordered condensed systems is somewhat complicated and often leads to relatively imprecise results, not to mention the experimental and computational e?ort involved. As such, almost all university textbooks, - cluding the advanced course books, only brie?y touch on the physics of am- phous systems. In any case, both the fundamental aspect and the ever wider industrial applications have given structurally disordered matter a role that should not be overlooked. The study of amorphous solids and their structure, stability and properties is a vibrant research branch; it is di?cult to imagine how any physicist, chemist or engineer who has to deal with materials could possibly ignore this class of systems. The author of Disordered Matter – an Introduction uses this course book atthePolitecnicoinMilan,Italy.Collectingthematerialforthecourseproved no mean task, leading him to have to prepare ad hoc didactic material. The continualexchangebetweenteacherandstudenthasledtothepresentversion of the book.
Author: Emil Prodan
Publisher: Springer
ISBN: 3319550233
Category : Science
Languages : en
Pages : 123
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Book Description
This work presents a computational program based on the principles of non-commutative geometry and showcases several applications to topological insulators. Noncommutative geometry has been originally proposed by Jean Bellissard as a theoretical framework for the investigation of homogeneous condensed matter systems. Recently, this approach has been successfully applied to topological insulators, where it facilitated many rigorous results concerning the stability of the topological invariants against disorder.In the first part of the book the notion of a homogeneous material is introduced and the class of disordered crystals defined together with the classification table, which conjectures all topological phases from this class. The manuscript continues with a discussion of electrons’ dynamics in disordered crystals and the theory of topological invariants in the presence of strong disorder is briefly reviewed. It is shown how all this can be captured in the language of noncommutative geometry using the concept of non-commutative Brillouin torus, and a list of known formulas for various physical response functions is presented. In the second part, auxiliary algebras are introduced and a canonical finite-volume approximation of the non-commutative Brillouin torus is developed. Explicit numerical algorithms for computing generic correlation functions are discussed. In the third part upper bounds on the numerical errors are derived and it is proved that the canonical-finite volume approximation converges extremely fast to the thermodynamic limit. Convergence tests and various applications concludes the presentation.The book is intended for graduate students and researchers in numerical and mathematical physics.
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.
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: 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
