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Solitons in crystalline processes : irreversible thermodynamics of structural phase transitions and superconductivity
Author
Title
Solitons in crystalline processes : irreversible thermodynamics of structural phase transitions and superconductivity / Minoru Fujimoto.
ISBN
9780750325721
9780750325738
9780750325707
Edition
2nd edition.
Publication
Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2020]
Physical Description
1 online resource (various pagings) : illustrations (some color).
Local Notes
Access is available to the Yale community.
Notes
"Version: 20191101"--Title page verso.
Access and use
Access restricted by licensing agreement.
Biographical / Historical Note
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.
Summary
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.
Variant and related titles
Irreversible thermodynamics of structural phase transitions and superconductivity.
IOP ebooks.
Other formats
Also available in print.
Print version:
Format
Books / Online
Language
English
Added to Catalog
March 03, 2021
Series
IOP ebooks. [2020 collection]
Bibliography
Includes bibliographical references.
Audience
PhD Students and active researchers in condensed matter physics.
Contents
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 states
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 correlations
2. 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 variables
3. 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 clusters
4. 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 pinning
part 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 experiments
6. Magnetic resonance studies on critical anomalies
6.1. Magnetic resonance
6.2. Magnetic resonance in modulated crystals
6.3. Examples of transition anomalies
7. 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 Tc
part 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 phases
9. 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 transitions
10. 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 analysis
11. 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 lattices
12. Phase solitons in adiabatic processes : topological correlations in the domain structure
12.1. The sine-Gordon equation
12.2. The Bäcklund transformation and domain boundaries
12.3. Computational studies of Bäcklund 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 transitions
part 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 statistics
14. Soliton theory of superconducting transitions
14.1. The Fröhlich 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 state
15. High-Tc superconductors
15.1. Superconducting transitions under isothermal conditions
15.2. Protonic superconducting transitions under high pressure conditions
16. 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 transitions
17. 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 states
18. Crystalline polymers and liquid crystals
18.1. Transversal correlations in crystalline polymers
18.2. Liquid crystals.
Subjects
Also listed under
Institute of Physics (Great Britain), publisher.
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