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OverviewSolitons play a fundamental role in ordering processes in crystals, where the collective motion is essential for mesoscopic disorder in thermal equilibrium. The first edition of this book detailed the essential mechanism of structural changes where solitons play the fundamental role of boson statistics for irreversible thermodynamics in crystals; explaining the structural transformations and mesoscopic disorder, and 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 the theoretical developments and newer experimental results of soliton analysis in general. This updated text also emphasises the thermodynamics of soft modes, pseudospins and order variables for finite lattice displacements. Soliton statistics of the nonlinear order variables are also logically discussed. Written as an introductory treatise, with respect to the soliton concept in matter, with exercises provided, this book will help to further develop readers' understanding of the subject. Full Product DetailsAuthor: Minoru Fujimoto (University of Guelph, Canada)Publisher: Institute of Physics Publishing Imprint: Institute of Physics Publishing Edition: 2nd Revised edition Dimensions: Width: 17.80cm , Height: 2.20cm , Length: 25.40cm Weight: 0.859kg ISBN: 9780750325707ISBN 10: 0750325704 Pages: 369 Publication Date: 14 November 2019 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In Print This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsPreface Introduction Part I Binary Transitions 1 Phonons and Internal Energies in Stable Lattices 2 Displacive Order Variables in Collective Mode and Adiabatic Potentials 3 Pseudospin Clusters and the Born-Huang Principle: Corrective Order-Variables as Solitons in Crystals 4 The Mean-Field Approximation and Critical Phase Fluctuations Part II Experimental Studies On Critical Anomalies And Soft Modes 5 Scattering Experiments on Critical Anomalies 6 Magnetic Resonance Studies of Critical Anomalies 7 Soft Modes of Lattice Displacements Part III Soliton Theory Of Lattice Dynamics 8 Nonlinear Dynamics in Finite Crystals: Displacive Waves, Complex Adiabatic Potentials and Pseudopotentials 9 Opposite Weiss’ Fields for Nonlinear Order Variables and Entropy Production: the Korteweg-deVries Equation for Transitions between Conservative States 10 Soliton Mobility in Dynamic Phase Space: Time-Temperature Conversion in Thermal Processes 11 Toda’s Theorem of the Soliton Lattice 12 Phase Solitons in Adiabatic Processes: Topological Correlations in Mesoscopic Domain Boundaries Part IV Superconducting, Magnetic, Polymer And Liquid Crystals 13 Phonons, Solitons and Electrons in Metallic Phases 14 Soliton Theory of Superconducting Transitions 15 High-Tc Superconductors 16 Superconducting Phases in Metallic Crystals 17 Magnetic Crystals 18 Crystalline Polymer and Liquid Crystals Concluding Remarks Appendix Hyperbolic and Elliptic FunctionsReviewsAuthor InformationMinoru Fujimoto is a retired professor from the University of Guelph, Canada, where he conducted research in the field of magnetic resonance studies on structural phase transitions in crystals and, more recently, theoretical work with soliton dynamics. He is the author of numerous papers and books, and is an expert in solitons as applied to crystalline condensed matter systems. Tab Content 6Author Website:Countries AvailableAll regions |