Download or read book Physics and Geometry of Disorder written by Efros A. L. and published by . This book was released on 1986 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Physics and Geometry of Disorder written by Alekseĭ Lʹvovich Ėfros and published by . This book was released on 1986 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fractals and Disordered Systems written by Armin Bunde and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Supersymmetry in Disorder and Chaos written by Konstantin Efetov and published by Cambridge University Press. This book was released on 1999-09-13 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive treatment of the ideas and applications of supersymmetry.
Download or read book Disordered Materials written by Paolo Ossi and published by Springer Science & Business Media. This book was released on 2010-03-10 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Defects and Geometry in Condensed Matter Physics written by David R. Nelson and published by Cambridge University Press. This book was released on 2002-03-18 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description
Download or read book Disordered Materials written by Paolo M. Ossi and published by Springer. This book was released on 2006-07-18 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Field Theory Disorder And Simulations written by Giorgio Parisi and published by World Scientific. This book was released on 1992-10-09 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The World According to Physics written by Jim Al-Khalili and published by Princeton University Press. This book was released on 2020-03-10 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scale -- Space and time -- Energy and matter -- The quantum world -- Thermodynamics and the arrow of time -- Unification -- The future of physics -- The usefulness of physics -- Thinking like a physicist.
Download or read book A Random Walk Through Fractal Dimensions written by Brian H. Kaye and published by John Wiley & Sons. This book was released on 2008-07-11 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book A Computational Non commutative Geometry Program for Disordered Topological Insulators written by Emil Prodan and published by Springer. This book was released on 2017-03-17 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Stereology and Stochastic Geometry written by John E. Hilliard and published by Springer Science & Business Media. This book was released on 2003-11-30 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: Somebody had to do it. The Chinese speak of deep water wells called "grandfather wells" because they take three generations of diggers to complete. Imagine the thought of such a well being abandoned incomplete by the third generation. What a loss! This book is like a grandfather well except that it has taken only two generations, John Hilliard's and mine, to finish. When I saw his manuscript lying in a heap, I decided that I must spend the time to put it and his notes into a publishable form. Now, it is done. This book is mostly about performing spatial measurements through the statistical sampling of images; it is a text on classical stereology as John Hilliard saw it. His vision of the subject was broad. Consequently, its title is broad too. It presents this subject and some of its modem extensions from the classical perspective of the one of the founders of the field, and my first advisor at Northwestern University, John Hilliard. There is nothing new in this book but much that may have been lost over time. It rediscovers many useful discussions about such subjects as the variances of stereo logical measurements, anisotropy etc. It recovers some of the dialogues between John Hilliard and his students on such topics as fractals and Monte Carlo simulations. It recaptures a little of John Hilliard's unique and subtle wit.
Download or read book Physics Geometry and Topology written by H.C. Lee and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Banff NATO Summer School was held August 14-25, 1989 at the Banff Cen tre, Banff, Albert, Canada. It was a combination of two venues: a summer school in the annual series of Summer School in Theoretical Physics spon sored by the Theoretical Physics Division, Canadian Association of Physi cists, and a NATO Advanced Study Institute. The Organizing Committee for the present school was composed of G. Kunstatter (University of Winnipeg), H.C. Lee (Chalk River Laboratories and University of Western Ontario), R. Kobes (University of Winnipeg), D.l. Toms (University of Newcastle Upon Tyne) and Y.S. Wu (University of Utah). Thanks to the group of lecturers (see Contents) and the timeliness of the courses given, the school, entitled PHYSICS, GEOMETRY AND TOPOLOGY, was popular from the very outset. The number of applications outstripped the 90 places of accommodation reserved at the Banff Centre soon after the school was announced. As the eventual total number of participants was increased to 170, it was still necessary to tum away many deserving applicants. In accordance with the spirit of the school, the geometrical and topologi cal properties in each of the wide ranging topics covered by the lectures were emphasized. A recurring theme in a number of the lectures is the Yang-Baxter relation which characterizes a very large class of integrable systems including: many state models, two-dimensional conformal field theory, quantum field theory and quantum gravity in 2 + I dimensions.
Download or read book Solid State Physics written by and published by Academic Press. This book was released on 2014-05-15 with total page 629 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solid state physics is the branch of physics primarily devoted to the study of matter in its solid phase, especially at the atomic level. This prestigious serial presents timely and state-of-the-art reviews pertaining to all aspects of solid state physics. Contributions from leading authorities Informs and updates on all the latest developments in the field
Download or read book Einstein Spaces written by A. Z. Petrov and published by Elsevier. This book was released on 2016-08-19 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: Einstein Spaces presents the mathematical basis of the theory of gravitation and discusses the various spaces that form the basis of the theory of relativity. This book examines the contemporary development of the theory of relativity, leading to the study of such problems as gravitational radiation, the interaction of fields, and the behavior of elementary particles in a gravitational field. Organized into nine chapters, this book starts with an overview of the principles of the special theory of relativity, with emphasis on the mathematical aspects. This text then discusses the need for a general classification of all potential gravitational fields, and in particular, Einstein spaces. Other chapters consider the gravitational fields in empty space, such as in a region where the energy-momentum tensor is zero. The final chapter deals with the problem of the limiting conditions in integrating the gravitational field equations. Physicists and mathematicians will find this book useful.
Download or read book More is Different written by Nai-Phuan Ong and published by Princeton University Press. This book was released on 2001-07-15 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents articles written by leading experts surveying several major subfields in Condensed Matter Physics and related sciences. The articles are based on invited talks presented at a recent conference honoring Nobel laureate Philip W. Anderson of Princeton University, who coined the phrase "More is different" while formulating his contention that all fields of physics, indeed all of science, involve equally fundamental insights. The articles introduce and survey current research in areas that have been close to Anderson's interests. Together, they illustrate both the deep impact that Anderson has had in this multifaceted field during the past half century and the progress spawned by his insights. The contributors cover numerous topics under the umbrellas of superconductivity, superfluidity, magnetism, electron localization, strongly interacting electronic systems, heavy fermions, and disorder and frustration in glass and spin-glass systems. They also describe interdisciplinary areas such as the science of olfaction and color vision, the screening of macroions in electrolytes, scaling and renormalization in cosmology, forest fires and the spread of measles, and the investigation of "NP-complete" problems in computer science. The articles are authored by Philip W. Anderson, Per Bak and Kan Chen, G. Baskaran, Juan Carlos Campuzano, Paul Chaikin, John Hopfield, Bernhard Keimer, Scott Kirkpatrick and Bart Selman, Gabriel Kotliar, Patrick Lee, Yoshiteru Maeno, Marc Mezard, Douglas Osheroff et al., H. R. Ott, L. Pietronero et al., T. V. Ramakrishnan, A. Ramirez, Myriam Sarachik, T. Senthil and Matthew P. A. Fisher, B. I. Shklovskii et al., and F. Steglich et al.
Download or read book Geometrical Methods of Mathematical Physics written by Bernard F. Schutz and published by Cambridge University Press. This book was released on 1980-01-28 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
