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

Author: Minoru Fujimoto
Publisher: Institute of Physics Publishing
ISBN: 9780750325714
Category : Science
Languages : en
Pages : 372

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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.

Author: Minoru Fujimoto
Publisher:
ISBN: 9780750315135
Category : SCIENCE
Languages : en
Pages : 0

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Book Description
"Solitons in Crystalline Processes is an introduction to the statistical thermodynamics of phase transitions in crystallized solids. 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."--Prové de l'editor.

Author: Minoru Fujimoto
Publisher: Myprint
ISBN: 9780750317771
Category : Electronic book
Languages : en
Pages : 362

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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.

Author: Minoru Fujimoto
Publisher:
ISBN: 9780750325738
Category : SCIENCE
Languages : en
Pages :

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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.

Author: FUJIMOTO
Publisher: Iop Expanding Physics
ISBN: 9780750325707
Category : Science
Languages : en
Pages : 450

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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.

Author: Minoru Fujimoto
Publisher: CRC Press
ISBN: 9781138626522
Category :
Languages : en
Pages :

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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"--

Author: Arnold M. Kosevich
Publisher: Wiley-VCH
ISBN:
Category : Science
Languages : en
Pages : 336

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Book Description
Arnold M. Kossevich The Crystal Lattice Phonons, Solitons, Dislocations The goal of the book is to describe and analyse peculiarities of classical and quantum dynamics of a crystal as a spatially periodic structure. 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 few 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 mechanics as a basis of theory of plasticity and numerous technological applications of crystal materials.

Author: Lui Lam
Publisher: Springer
ISBN: 0387968784
Category : Science
Languages : en
Pages : 338

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Book Description
Solitons are a well-known and intriguing aspect of nonlinear behavior in a continuous system such as a fluid: a wave propagates through the medium without distortion. Liquid crystals are highly ordered systems without a rigid, long-range structure. Solitons in liquid crystals (sometimes referred to as "walls") have a wide variety of remarkable properties that are becoming important for practical applications such as electroluminescent display. This book, the first review of the subject to be published, contains not only surveys of the existing literature, but presents new results as well.

Author: Arnold M. Kosevich
Publisher: John Wiley & Sons
ISBN: 3527606939
Category : Science
Languages : en
Pages : 356

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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.

Author: Boling Guo
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110549417
Category : Mathematics
Languages : en
Pages : 463

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Book Description
This book provides an up-to-date overview of mathematical theories and research results on solitons, presenting related mathematical methods and applications as well as numerical experiments. Different types of soliton equations are covered along with their dynamical behaviors and applications from physics, making the book an essential reference for researchers and graduate students in applied mathematics and physics. Contents Introduction Inverse scattering transform Asymptotic behavior to initial value problems for some integrable evolution nonlinear equations Interaction of solitons and its asymptotic properties Hirota method Bäcklund transformations and the infinitely many conservation laws Multi-dimensional solitons and their stability Numerical computation methods for some nonlinear evolution equations The geometric theory of solitons Global existence and blow up for the nonlinear evolution equations The soliton movements of elementary particles in nonlinear quantum field The theory of soliton movement of superconductive features The soliton movements in condensed state systemsontents