Solitons in crystalline processes :irreversible thermodynamics of structural phase transitions and superconductivity /

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Solitons in crystalline processes :irreversible thermodynamics of structural phase transitions and superconductivity /

Fujimoto, Minoru, - Personal Name; Institute of Physics (Great Britain), - Personal Name;

"Version: 20191101"--Title page verso.Includes bibliographical references.part I. Binary transitions. 1. Phonons and lattice stability -- 1.1. The space symmetry group and the internal energy in crystals -- 1.2. Normal modes in a monatomic lattice -- 1.3. Quantized normal modes -- 1.4. Phonon field and momentum -- 1.5. Specific heat of monatomic crystals -- 1.6. Approximate phonon distributions -- 1.7. Phonon correlations2. Displacive order variables in collective mode and adiabatic Weiss' potentials -- 2.1. One-dimensional ionic chain -- 2.2. Practical examples of displacive order variables -- 2.3. The Born-Oppenheimer approximation and adiabatic Weiss' potentials -- 2.4. The Bloch theorem for collective order variables3. Pseudospin clusters and the Born-Huang principle : coherent order-variables as solitons in crystals -- 3.1. Pseudospins for binary displacements -- 3.2. The Born-Huang principle and pseudospin clusters -- 3.3. Properties of pseudospin clusters -- 3.4. Examples of pseudospin clusters4. The mean-field theories and critical phase fluctuations at transition temperatures -- 4.1. Landau's theory and Curie-Weiss' law -- 4.2. Fluctuations of pseudospin clusters in adiabatic potentials -- 4.3. Observing critical phase anomalies -- 4.4. Intrinsic and extrinsic pinningpart II. Experimental studies on critical anomalies and soft modes. 5. Scattering experiments on critical anomalies -- 5.1. X-ray diffraction -- 5.2. Diffuse diffraction from a modulated lattice -- 5.3. Neutron inelastic scatterings -- 5.4. Light scattering experiments6. Magnetic resonance studies on critical anomalies -- 6.1. Magnetic resonance -- 6.2. Magnetic resonance in modulated crystals -- 6.3. Examples of transition anomalies7. Soft modes of lattice displacements -- 7.1. The Lyddane-Sachs-Teller relation in dielectric crystals -- 7.2. Soft modes in perovskite oxides -- 7.3. Lattice response to collective pseudopins -- 7.4. Temperature dependence of soft mode frequencies -- 7.5. Cochran's model of a ferroelectric transition -- 7.6. Symmetry change at Tcpart III. Soliton theory of lattice dynamics. 8. Nonlinear dynamics in finite crystals : displacive waves, complex adiabatic potentials and pseudopotentials -- 8.1. Internal pinning of collective pseudospins -- 8.2. Transverse components and the cnoidal potential -- 8.3. Finite crystals and the domain structure -- 8.4. Lifshitz' incommensurability in mesoscopic phases -- 8.5. Klein-Gordon equation for the Weiss potential -- 8.6. Pseudopotentials in mesoscopic phases9. Opposite Weiss fields for nonlinear order variables and entropy production : the Korteweg-deVries equation for transitions between conservative states -- 9.1. Dispersive equations in asymptotic approximation -- 9.2. The Korteweg-deVries equation -- 9.3. Thermodynamic solutions of the Korteweg-deVries equation -- 9.4. Isothermal transitions in the Eckart potential -- 9.5. Condensate pinning by the Eckart potentials -- 9.6. Elemental solitons as Boson particles -- 9.7. Riccati's thermodynamic transitions10. Soliton mobility in dynamical phase space : time-temperature conversion for thermal processes -- 10.1. Bargmann's theorem -- 10.2. Riccati's theorem and the modified Korteweg-deVries equation -- 10.3. Soliton mobility studied by computational analysis11. Toda's theorem of the soliton lattice -- 11.1. The Toda lattice -- 11.2. Developing nonlinearity with Toda's correlation potentials -- 11.3. Infinite periodic lattice -- 11.4. Scattering and capture by singular soliton potentials -- 11.5. The Gel'fand-Levitan-Marchenko theorem -- 11.6. Entropy production at soliton singularities -- 11.7. The Toda lattice and the Korteweg-deVries equation -- 11.8. Topological strain mapping of mesoscopic Toda lattices12. Phase solitons in adiabatic processes : topological correlations in the domain structure -- 12.1. The sine-Gordon equation -- 12.2. The B?acklund transformation and domain boundaries -- 12.3. Computational studies of B?acklund transformation -- 12.4. Trigonal structural transitions -- 12.5. Toda's theory of domain stability -- 12.6. Kac's theory of nonlinear development and domain boundaries -- 12.7. Domain separation : thermal and quasi-adiabatic transitionspart IV. Superconducting, magnetic, polymer and liquid crystals. 13. Phonons, solitons and electrons in modulated lattices -- 13.1. Phonon statistics in metallic states -- 13.2. Solitons in modulated metals -- 13.3. Conduction electrons in normal metals -- 13.4. The multi-electron system -- 13.5. The Fermi-Dirac statistics14. Soliton theory of superconducting transitions -- 14.1. The Fr?ohlich condensate and the Meissner effect -- 14.2. The Cooper pair and superconducting transition -- 14.3. Persistent supercurrents -- 14.4. Critical energy gap and the superconducting ground state15. High-Tc superconductors -- 15.1. Superconducting transitions under isothermal conditions -- 15.2. Protonic superconducting transitions under high pressure conditions16. Superconducting phases in metallic crystals -- 16.1. Meissner's diamagnetism -- 16.2. Electromagnetic properties of superconductors -- 16.3. The Ginzburg-Landau equation -- 16.4. Field theories of superconducting transitions17. Magnetic crystals -- 17.1. Microscopic magnetic moments -- 17.2. Brillouin's formula -- 17.3. Spin-spin exchange correlations -- 17.4. Collective propagation of Larmor's precession -- 17.5. Magnetic Weiss field -- 17.6. Spin waves -- 17.7. Magnetic anisotropy -- 17.8. Antiferromagnetic and ferrimagnetic states -- 17.9. Fluctuations in ferromagnetic and antiferromagnetic states18. Crystalline polymers and liquid crystals -- 18.1. Transversal correlations in crystalline polymers -- 18.2. Liquid crystals.0. Introduction -- 0.1. The internal energy of equilibrium crystals -- 0.2. Microscopic order variables and their fluctuations -- 0.3. Collective order variables in propagation -- 0.4. Crystal surfaces and entropy production -- 0.5. Lattice symmetry and the internal energy in crystals -- 0.6. Timescales for sampling modulated structure and thermodynamic measurements -- 0.7. Statistical theories and the mean-field approximation -- 0.8. Remarks on notations in mesoscopic statesSolitons 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.PhD Students and active researchers in condensed matter physics.Also available in print.Mode of access: World Wide Web.System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.Minoru Fujimoto is a retired professor from the University of Guelph, Ontario, 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 an expert in solitons as applied to crystalline condensed matter systems.Title from PDF title page (viewed on December 9, 2019).

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Series Title: -
Call Number: -
Publisher: : .,
Collation: 1 online resource (various pagings) :illustrations (some color).
Language: English
ISBN/ISSN: 9780750325721
Classification: 548/.86
Content Type: -
Media Type: -
Carrier Type: -
Edition: 2nd edition.
Subject(s): SCIENCE / Physics / Condensed Matter.
Crystals
Statistical thermodynamics.
Phase transformations (Statistical physics)
Solitons.
Specific Detail Info: -
Statement of Responsibility: Minoru Fujimoto.

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