Fractal Concepts In Condensed Matter Physics

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Fractal Concepts in Condensed Matter Physics

Author : Tsuneyoshi Nakayama,Kousuke Yakubo
Publisher : Springer Science & Business Media
Page : 216 pages
File Size : 41,7 Mb
Release : 2013-06-29
Category : Science
ISBN : 9783662051931

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Fractal Concepts in Condensed Matter Physics by Tsuneyoshi Nakayama,Kousuke Yakubo Pdf

Concisely and clearly written by two foremost scientists, this book provides a self-contained introduction to the basic concepts of fractals and demonstrates their use in a range of topics. The authors’ unified description of different dynamic problems makes the book extremely accessible.

Fractal Concepts in Surface Growth

Author : A.- L. Barabási,H. E. Stanley
Publisher : Cambridge University Press
Page : 392 pages
File Size : 55,9 Mb
Release : 1995-04-13
Category : Mathematics
ISBN : 0521483182

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Fractal Concepts in Surface Growth by A.- L. Barabási,H. E. Stanley Pdf

This book brings together two of the most exciting and widely studied subjects in modern physics: namely fractals and surfaces. To the community interested in the study of surfaces and interfaces, it brings the concept of fractals. To the community interested in the exciting field of fractals and their application, it demonstrates how these concepts may be used in the study of surfaces. The authors cover, in simple terms, the various methods and theories developed over the past ten years to study surface growth. They describe how one can use fractal concepts successfully to describe and predict the morphology resulting from various growth processes. Consequently, this book will appeal to physicists working in condensed matter physics and statistical mechanics, with an interest in fractals and their application. The first chapter of this important new text is available on the Cambridge Worldwide Web server: http://www.cup.cam.ac.uk/onlinepubs/Textbooks/textbookstop.html

Introduction to Condensed Matter Physics

Author : Duan Feng,Guojun Jin
Publisher : World Scientific
Page : 612 pages
File Size : 43,9 Mb
Release : 2005
Category : Science
ISBN : 9789812387110

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Introduction to Condensed Matter Physics by Duan Feng,Guojun Jin Pdf

This is volume 1 of two-volume book that presents an excellent, comprehensive exposition of the multi-faceted subjects of modern condensed matter physics, unified within an original and coherent conceptual framework. Traditional subjects such as band theory and lattice dynamics are tightly organized in this framework, while many new developments emerge spontaneously from it. In this volume,? Basic concepts are emphasized; usually they are intuitively introduced, then more precisely formulated, and compared with correlated concepts.? A plethora of new topics, such as quasicrystals, photonic crystals, GMR, TMR, CMR, high Tc superconductors, Bose-Einstein condensation, etc., are presented with sharp physical insights.? Bond and band approaches are discussed in parallel, breaking the barrier between physics and chemistry.? A highly accessible chapter is included on correlated electronic states ? rarely found in an introductory text.? Introductory chapters on tunneling, mesoscopic phenomena, and quantum-confined nanostructures constitute a sound foundation for nanoscience and nanotechnology.? The text is profusely illustrated with about 500 figures.

Physics of Transition Metal Oxides

Author : Sadamichi Maekawa,Takami Tohyama,Stewart Edward Barnes,Sumio Ishihara,Wataru Koshibae,Giniyat Khaliullin
Publisher : Springer Science & Business Media
Page : 345 pages
File Size : 42,9 Mb
Release : 2013-03-09
Category : Technology & Engineering
ISBN : 9783662092989

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Physics of Transition Metal Oxides by Sadamichi Maekawa,Takami Tohyama,Stewart Edward Barnes,Sumio Ishihara,Wataru Koshibae,Giniyat Khaliullin Pdf

The fact that magnetite (Fe304) was already known in the Greek era as a peculiar mineral is indicative of the long history of transition metal oxides as useful materials. The discovery of high-temperature superconductivity in 1986 has renewed interest in transition metal oxides. High-temperature su perconductors are all cuprates. Why is it? To answer to this question, we must understand the electronic states in the cuprates. Transition metal oxides are also familiar as magnets. They might be found stuck on the door of your kitchen refrigerator. Magnetic materials are valuable not only as magnets but as electronics materials. Manganites have received special attention recently because of their extremely large magnetoresistance, an effect so large that it is called colossal magnetoresistance (CMR). What is the difference between high-temperature superconducting cuprates and CMR manganites? Elements with incomplete d shells in the periodic table are called tran sition elements. Among them, the following eight elements with the atomic numbers from 22 to 29, i. e. , Ti, V, Cr, Mn, Fe, Co, Ni and Cu are the most im portant. These elements make compounds with oxygen and present a variety of properties. High-temperature superconductivity and CMR are examples. Most of the textbooks on magnetism discuss the magnetic properties of transition metal oxides. However, when one studies magnetism using tradi tional textbooks, one finds that the transport properties are not introduced in the initial stages.

Topology in Condensed Matter

Author : Michael I. Monastyrsky
Publisher : Springer Science & Business Media
Page : 263 pages
File Size : 48,6 Mb
Release : 2006-02-04
Category : Science
ISBN : 9783540312642

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Topology in Condensed Matter by Michael I. Monastyrsky Pdf

This book reports new results in condensed matter physics for which topological methods and ideas are important. It considers, on the one hand, recently discovered systems such as carbon nanocrystals and, on the other hand, new topological methods used to describe more traditional systems such as the Fermi surfaces of normal metals, liquid crystals and quasicrystals. The authors of the book are renowned specialists in their fields and present the results of ongoing research, some of it obtained only very recently and not yet published in monograph form.

Fractals in Condensed Matter Physics

Author : Olemskoi
Publisher : CRC Press
Page : 150 pages
File Size : 51,7 Mb
Release : 1999-12-23
Category : Science
ISBN : 3718659379

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Fractals in Condensed Matter Physics by Olemskoi Pdf

Fractals’ Physical Origin and Properties

Author : Luciano Pietronero
Publisher : Springer
Page : 356 pages
File Size : 55,9 Mb
Release : 2013-12-19
Category : Medical
ISBN : 9781489934994

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Fractals’ Physical Origin and Properties by Luciano Pietronero Pdf

This volume contains the Proceedings of the Special Seminar on: FRAGTALS held from October 9-15, 1988 at the Ettore Majorana Centre for Scientific Culture, Erice (Trapani), Italy. The concepts of self-similarity and scale invariance have arisen independently in several areas. One is the study of critical properites of phase transitions; another is fractal geometry, which involves the concept of (non-integer) fractal dimension. These two areas have now come together, and their methods have extended to various fields of physics. The purpose of this Seminar was to provide an overview of the recent developments in the field. Most of the contributions are theoretical, but some experimental work is also included. Du:cing the past few years two tendencies have emerged in this field: one is to realize that many phenomena can be naturally modelled by fractal structures. So one can use this concept to define simple modele and study their physical properties. The second point of view is more microscopic and tries to answer the question: why nature gives rise to fractal structures. This implies the formulation of fractal growth modele based on physical concepts and their theoretical understanding in the same sense as the Renormalization Group method has allowed to understand the critical properties of phase transitions.

Mathematics of Complexity and Dynamical Systems

Author : Robert A. Meyers
Publisher : Springer Science & Business Media
Page : 1885 pages
File Size : 49,9 Mb
Release : 2011-10-05
Category : Mathematics
ISBN : 9781461418054

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Mathematics of Complexity and Dynamical Systems by Robert A. Meyers Pdf

Mathematics of Complexity and Dynamical Systems is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics. Complex systems are systems that comprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures. These systems are often characterized by extreme sensitivity to initial conditions as well as emergent behavior that are not readily predictable or even completely deterministic. The more than 100 entries in this wide-ranging, single source work provide a comprehensive explication of the theory and applications of mathematical complexity, covering ergodic theory, fractals and multifractals, dynamical systems, perturbation theory, solitons, systems and control theory, and related topics. Mathematics of Complexity and Dynamical Systems is an essential reference for all those interested in mathematical complexity, from undergraduate and graduate students up through professional researchers.

Solid State Theory

Author : Ulrich Rössler
Publisher : Springer Science & Business Media
Page : 356 pages
File Size : 49,5 Mb
Release : 2013-06-29
Category : Technology & Engineering
ISBN : 9783662099407

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Solid State Theory by Ulrich Rössler Pdf

"Solid-State Theory - An Introduction" is a textbook for graduate students of physics and material sciences. Whilst covering the traditional topics of older textbooks, it also takes up new developments in theoretical concepts and materials that are connected with such breakthroughs as the quantum-Hall effects, the high-Tc superconductors, and the low-dimensional systems realized in solids. Thus besides providing the fundamental concepts to describe the physics of the electrons and ions comprising the solid, including their interactions, the book casts a bridge to the experimental facts and gives the reader an excellent insight into current research fields. A compilation of problems makes the book especially valuable to both students and teachers.

Magnetism in the Solid State

Author : Peter Mohn
Publisher : Springer Science & Business Media
Page : 231 pages
File Size : 52,9 Mb
Release : 2006-06-09
Category : Science
ISBN : 9783540309819

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Magnetism in the Solid State by Peter Mohn Pdf

This book presents a phenomenological approach to the field of solid state magnetism. It surveys the various theories and discusses their applicability in different types of materials. The text will be valuable as a text for graduate courses in magnetism and magnetic materials.

Physical Acoustics in the Solid State

Author : Bruno Lüthi
Publisher : Springer Science & Business Media
Page : 421 pages
File Size : 45,9 Mb
Release : 2007-08-14
Category : Science
ISBN : 9783540721949

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Physical Acoustics in the Solid State by Bruno Lüthi Pdf

Physical Acoustics in the Solid State reviews the modern aspects in the field, including many experimental results, especially those involving ultrasonics. It covers practically all fields of solid-state physics. After a review of the relevant experimental techniques and an introduction to the theory of elasticity, the book details applications in the various fields of condensed matter physics.

Nanoclusters and Microparticles in Gases and Vapors

Author : Boris M. Smirnov
Publisher : Walter de Gruyter
Page : 263 pages
File Size : 45,6 Mb
Release : 2012-05-29
Category : Science
ISBN : 9783110273991

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Nanoclusters and Microparticles in Gases and Vapors by Boris M. Smirnov Pdf

Research of processes involving Nanoclusters and Microparticles has been developing fast in many fields of rescent research, in particular in materials science. To stay at the cutting edge of this development, a sound understanding of the processes is needed. In this work, several processes involving small particles are described, such as transport processes in gases, charging of small particles in gases, chemical processes, atom attachment and quenching of excited atomic particles on surfaces, nucleation, coagulation, coalescence and growth processes for particles and aggregates. This work presents the mathematical models to understand these processes. It analyses examples of real objects and processes. Each analysis is complemented by analytic formulas or simple models which allow us to calculate or estimate process parameters.

Quantum Theory of Magnetism

Author : Robert M. White
Publisher : Springer Science & Business Media
Page : 362 pages
File Size : 48,7 Mb
Release : 2007-01-23
Category : Science
ISBN : 9783540690252

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Quantum Theory of Magnetism by Robert M. White Pdf

"Quantum Theory of Magnetism" is the only book that deals with the phenomenon of magnetism from the point of view of "linear response". That is, how does a magnetic material respond when excited by a magnetic field? That field may be uniform, or spatially varying, static or time dependent. Previous editions have dealt primarily with the magnetic response. This edition incorporates the resistive response of magnetic materials as well. It also includes problems to test the reader's (or student's) comprehension. The rationale for a book on magnetism is as valid today as it was when the first two editions of Quantum Theory of Magnetism were published. Magnetic phenomena continue to be discovered with deep scientific implications and novel applications. Since the Second Edition, for example, Giant Magneto Resistance (GMR) was discovered and the new field of "spintronics" is currently expanding. Not only do these phenomena rely on the concepts presented in this book, but magnetic properties are often an important clue to our understanding of new materials (e.g., high-temperature superconductors). Their magnetic properties, studied by susceptibility measurements, nuclear magnetic resonance, neutron scattering, etc. have provided insight to the superconductivity state.This updated edition offers revised emphasis on some material as a result of recent developments and includes new material, such as an entire chapter on thin film magnetic multilayers. Researchers and students once again have access to an up-to-date classic reference on magnetism, the key characteristic of many modern materials.

Particle Penetration and Radiation Effects

Author : Peter Sigmund
Publisher : Springer Science & Business Media
Page : 452 pages
File Size : 52,7 Mb
Release : 2006-05-26
Category : Science
ISBN : 9783540317180

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Particle Penetration and Radiation Effects by Peter Sigmund Pdf

Drawing on the author’s forty-plus years of experience as a researcher in the interaction of charged particles with matter, this book emphasizes the theoretical description of fundamental phenomena. Special attention is given to classic topics such as Rutherford scattering; the theory of particle stopping; the statistical description of energy loss and multiple scattering and numerous more recent developments.

Electron Scattering in Solid Matter

Author : Jan Zabloudil,Robert Hammerling,Lászlo Szunyogh,Peter Weinberger
Publisher : Springer Science & Business Media
Page : 386 pages
File Size : 42,8 Mb
Release : 2005-12-12
Category : Science
ISBN : 9783540270010

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Electron Scattering in Solid Matter by Jan Zabloudil,Robert Hammerling,Lászlo Szunyogh,Peter Weinberger Pdf

Addressing graduate students and researchers, this book gives a very detailed theoretical and computational description of multiple scattering in solid matter. Particular emphasis is placed on solids with reduced dimensions, on full potential approaches and on relativistic treatments. For the first time approaches such as the screened Korringa-Kohn-Rostoker method are reviewed, considering all formal steps such as single-site scattering, structure constants and screening transformations, and also the numerical point of view. Furthermore, a very general approach is presented for solving the Poisson equation, needed within density functional theory in order to achieve self-consistency. Special chapters are devoted to the Coherent Potential Approximation and to the Embedded Cluster Method, used, for example, for describing nanostructured matter in real space. In a final chapter, physical properties related to the (single-particle) Green's function, such as magnetic anisotropies, interlayer exchange coupling, electric and magneto-optical transport and spin-waves, serve to illustrate the usefulness of the methods described.