Solitons in crystalline processes : statistical thermodynamics of structural phase transitions and mesoscopic disorder, Minoru Fujimoto, (electronic book)

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The instance Solitons in crystalline processes : statistical thermodynamics of structural phase transitions and mesoscopic disorder, Minoru Fujimoto, (electronic book) represents a material embodiment of a distinct intellectual or artistic creation found in University of Liverpool. This resource is a combination of several types including: Instance, Electronic.

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Solitons in crystalline processes : statistical thermodynamics of structural phase transitions and mesoscopic disorder, Minoru Fujimoto, (electronic book)

Title remainder

statistical thermodynamics of structural phase transitions and mesoscopic disorder

Medium

electronic book

Statement of responsibility

Minoru Fujimoto

Instantiates

• Solitons in crystalline processes : statistical thermodynamics of structural phase transitions and mesoscopic disorder

Publication

• Bristol England Temple Circus, Temple Way, Bristol BS1 6HG, UK, IOP Publishing, 2017

Note

"Version: 20171101"--Title page verso

Bibliography note

Includes bibliographical references

Carrier category

online resource

Carrier MARC source

rdacarrier

Color

multicolored

Content category

text

Content type MARC source

rdacontent

Contents

• Preface -- 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. Timescales for sampling modulated structure and thermodynamic measurements -- 0.6. Statistical theories and the mean-field approximation
• part I. Binary transitions -- 1. Phonons and internal energies of stable lattices -- 1.1. Symmetry group 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 potentials -- 2.1. One-dimensional ionic chain -- 2.2. Displacive order variables -- 2.3. Born-Oppenheimer's asymptotic approximation and adiabatic potentials -- 2.4. The Bloch theorem for collective order variables
• 3. Pseudospin clusters and the Born-Huang principle -- 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. Critical phase fluctuations of pseudospin modes -- 4.1. Landau's theory and Curie-Weiss' law -- 4.2. Fluctuations of pseudospin clusters in adiabatic potentials -- 4.3. Observing critical anomalies -- 4.4. 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 pseudospins -- 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. Displacive waves and complex adiabatic potentials in finite crystals -- 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 -- 8.5. The Klein-Gordon equation 1 -- 8.6. Pseudopotentials in crystals
• 9. The Weiss field of soliton potentials for developing nonlinearity -- 9.1. Dispersive equations in asymptotic approximation -- 9.2. The Korteweg-de Vries equation -- 9.3. Solutions of the Korteweg-de Vries equation -- 9.4. Thermodynamic transitions and the Eckart potential -- 9.5. Condensate pinning by the Eckart potentials -- 9.6. Elemental solitons at singular transitions -- 9.7. Riccati's thermodynamic transitions
• 10. Soliton mobility in time-temperature conversion -- 10.1. Bargmann's theorem of amplitude modulation -- 10.2. Riccati's theorem and the modified Korteweg-de Vries equation -- 10.3. Soliton mobility studied by computational analysis
• 11. Toda's theorem of 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 adiabatic potentials -- 11.5. The Gelfand-Levitan-Marchenko theorem -- 11.6. Entropy production at singularities -- 11.7. The Toda lattice and the Korteweg-de Vries equation -- 11.8. Topological strain mapping of mesoscopic Toda lattices
• 12. Transversal correlations and the domain structure -- 12.1. The Klein-Gordon equation 2 for phase modulation -- 12.2. The Bäcklund transformation and domain boundaries -- 12.3. Computational studies of the Bäcklund transformation -- 12.4. Trigonal structural transitions -- 12.5. Toda's theory of domain stability -- 12.6. Kac's theory of nonlinear development and boundary instability -- 12.7. Domain separation; thermal and quasi-adiabatic transitions -- 12.8. Transversal correlations in crystalline polymers
• part IV. Superconducting and magnetic systems -- 13. Phonons, solitons and electrons in finite metallic phases -- 13.1. Phonon statistics in metallic states -- 13.2. Solitons in modulated metals -- 13.3. Conduction electrons in normal metallic states -- 13.4. The multi-electron system -- 13.5. The Fermi-Dirac statistics
• 14. Soliton theory of superconducting transitions -- 14.1. The Fröhlich condensate -- 14.2. The Cooper pair and superconducting transition -- 14.3. Persistent supercurrent -- 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 -- 15.3. Summary: superconducting transitions
• 16. Superconducting states 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 ferromagnetic states -- 17.9. Fluctuations in ferromagnetic and antiferromagnetic states
• Concluding remarks -- Appendices -- A. A note on liquid crystals -- B. A note on computational studies -- C. Hyperbolic and elliptic functions

Control code

9780750315142

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unknown

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1 online resource (various pagings)

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multiple file formats

Form of item

online

Isbn

9780750315128

Media category

electronic

Media MARC source

isbdmedia

Other control number

10.1088/978-0-7503-1514-2

Other physical details

illustrations.

Record ID

b5386136

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access

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remote