Solitons Crystalline Processes 2Nd Ed


Book Description

An introduction to the statistical thermodynamics of phase transitions in crystallized solids, polymers and liquid crystals. Written as an introductory treatise with respect to the soliton concept, the book examines structural transitions where the crystal symmetry changes, magnets and superconductors, and describes the role of nonlinear excitations in detail.




Solitons in Crystalline Processes (2nd Edition): Irreversible Thermodynamics of Structural Phase Transitions and Superconductivity


Book Description

An introduction to the statistical thermodynamics of phase transitions in crystallized solids, polymers and liquid crystals. Written as an introductory treatise with respect to the soliton concept, the book examines structural transitions where the crystal symmetry changes, magnets and superconductors, and describes the role of nonlinear excitations in detail.




Solitons in Crystalline Processes


Book Description

Solitons play a fundamental role in ordering processes in crystals. In the first edition, the essential mechanism of structural changes where solitons play the fundamental role of boson statistics was detailed for irreversible thermodynamics in crystals; explaining not only structural transformations and mesoscopic disorder, but also the nonlinear mechanism of superconductivity. A major development and extension presented in this new edition is in the application of soliton theory to polymers and liquid crystals, in addition to capturing both theoretical developments and newer experimental results of soliton analysis in general. This new edition also emphasises the thermodynamics of soft modes, pseudospins and order variables for finite lattice displacements. The soliton statistics of the nonlinear order variables are logically discussed.




Solitons in Crystalline Processes


Book Description

Annotation Solitons in Crystalline Processes presents the soliton theory applied to crystalline processes for the first time. Starting with critical anomalies in binary transitions, the soliton idea leads to nonlinear waves in crystals, constituting the basic objective in this book. The theory explains logically not only structural transformations and mesoscopic disorder, but also the nonlinear mechanism of superconductivity with respect to the charge-current continuity substantiated by experimental studies; in contrast, for magnetic systems where solitons are relatively insignificant. Generally, solitons play the fundamental role in ordering processes in crystals, where the collective motion are essential for mesoscopic disorder in thermal equilibrium. This book is written as an introductory treatise with respect to the soliton concept, from structural transitions where the crystal symmetry changes, to magnets and superconductors, describing the role of nonlinear excitations in detail. Parts I and II introduce the theory and experimental techniques, while Part III discusses soliton theory of lattice dynamics in detail, and Part IV discusses the applications of this theory to superconductivity and magnetism. Exercises are given for each chapter to further develop understanding, and mathematics are limited to those needed to understand the theory.




Solitons in Crystalline Processes


Book Description

Solitons in Crystalline Processes presents the soliton theory applied to crystalline processes for the first time. Starting with critical anomalies in binary transitions, the soliton idea leads to nonlinear waves in crystals, constituting the basic objective in this book. The theory explains logically not only structural transformations and mesoscopic disorder, but also the nonlinear mechanism of superconductivity with respect to the charge-current continuity substantiated by experimental studies; in contrast, for magnetic systems where solitons are relatively insignificant. Generally, solitons play the fundamental role in ordering processes in crystals, where the collective motion are essential for mesoscopic disorder in thermal equilibrium. This book is written as an introductory treatise with respect to the soliton concept, from structural transitions where the crystal symmetry changes, to magnets and superconductors, describing the role of nonlinear excitations in detail. Parts I and II introduce the theory and experimental techniques, while Part III discusses soliton theory of lattice dynamics in detail, and Part IV discusses the applications of this theory to superconductivity and magnetism. Exercises are given for each chapter to further develop understanding, and mathematics are limited to those needed to understand the theory.




Modern Thermodynamics of Crystalline Processes


Book Description

"This book explores modern thermodynamics of crystalline states, through the lens of soliton theory. Right from the start, the book revises traditional theories of these concepts with soliton theory in mind. Although well-established as a mathematical nonlinear physics, this is the first time that a book uses soliton theory to deal with nonlinear processes in crystals, clarifying dynamical aspects logically, as demonstrated for superconductivity in modulated crystals. The book explores the soliton theory of crystalline processes, from irreversible processes in Crystals, to Phase Transitions and Mesoscopic Disorder, Statistical Thermodynamics of Modulated Lattices, and Superconductivity"--




Solitons And Polarons In Conducting Polymers


Book Description

Polyacetylence, (CH)x is the simplest conjugated polymer. Prestine polyacetylence is a good insulator, whereas its highly doped version exhibits metal-like electrical conductivity. This book gives a detailed introduction to this rapidly-developing field is given along with a collection of original papers. The main purpose is to help chemists and physicists grasp the main ideas and most important facts; an expert may also find it useful as a reference volume.




The Crystal Lattice


Book Description

The aim of this successful book is to describe and analyse peculiarities of classical and quantum dynamics of a crystal as a spatially periodic structure. In the second revised and updated edition, the author focuses on low-dimensional models of crystals and on superlattices. Both traditional questions like the spectrum of vibrations, the idea of phonon gas, dislocations etc. and new aspects like the theory of quantum crystals, solitons in 1D crystals, dislocation theory of melting of 2D crystals etc. are discussed. The author gives an explanation of a set of phenomena which entered into solid state physics during the last decades. It is shown that the crystal properties are sensitive to the dimension of the crystal and its defect structure, and depend slightly on whether the periodic structure consists of atoms, or electrical dipoles, or magnetic moments (spins). Considerable attention is devoted to the dislocation mechanisms as a basis of the theory of plasticity and numerous technological applications of crystalline materials.




Electron Correlations in Molecules and Solids


Book Description

Dieser Titel verbindet die Festkörpertheorie mit der Quantenchemie. Neue Konzepte der Vielteilchen-Verarbeitung und Korrelations-Effekte, normale quantenchemische Verfahren mit Projektionstechniken, Greensche Funktionen und Monte-Carlo-Methoden werden erarbeitet. Anwendungsbereiche der Molekültheorie, von Halbleitern, supraleitender high-Tc-Materialien, etc., werden vorgestellt.




Physics of Transition Metal Oxides


Book Description

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.