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Liquid glass transition : a unified theory from the two band model /
A glass is disordered material like a viscous liquid and behaves mechanically like a solid. A glass is normally formed by supercooling the viscous liquid fast enough to avoid crystallization, and the liquid-glass transition occurs in diverse manners depending on the materials, their history, and the...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam :
Elsevier,
2013.
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| Colección: | Elsevier insights.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Half Title; Liquid Glass Transition; Contents; Introduction; 1.1 The Structure of the Condensed States and the Quantum Regime; 1.1.1 The Structure of Condensed States, the Pair Distribution Function, and Hopping of Particles; 1.1.2 The Nambu-Goldstone Bosons, Phonons, and Sound; 1.1.3 The Liquid-Glass Transition Occurs in the Quantum Regime; 1.2 The Two Band Model for the Liquid-Glass Transition; 1.2.1 The Two Band Model; 1.2.2 Sound; 1.2.3 Phonons and Boson Peak; 1.2.4 The Dissipative and Relaxation Processes; 1.2.5 The Kauzmann Entropy and the Kauzmann Entropy Crisis
- 1.2.6 The Gap of the Specific Heat at the Glass Transition Temperature Tg1.2.7 The Hopping Amplitude and the VTF Law; 1.2.8 Phonon Fluctuation Entropy and the Liquid-Glass Transition; 1.2.9 Panic; Supercooling Process Associated with the Kauzmann Entropy Crisis and the VTF Law; 1.2.10 Mode Coupling Theory and the Adam-Gibbs Formula; 1.3 Perspective of This Book; 1.3.1 Introductary Part; 1.3.2 Preliminary Part; 1.3.3 Core Part; 1.3.4 Extensional Part; References; Sound and Elastic Waves in the Classical Theory; 2.1 Sound in the Classical Fluid Mechanics
- 2.1.1 Sound in the Isothermal and Adiabatic Processes2.1.2 Free Energy of Sound in the Classical Fluid Mechanics; 2.1.3 Energy of Sound in the Classical Fluid Mechanics; 2.1.4 The Relation Between the Isothermal and Adiabatic Sounds; 2.2 Elastic Waves in the Classical Elastic Theory; 2.2.1 Strain Tensor and Stress Tensor; 2.2.2 Thermodynamics in Deformation; 2.2.3 The Fick's Law in the Isothermal Process; 2.2.4 The Fick's Law in the Adiabatic Process; 2.2.5 Elastic Waves; 2.3 Sound and Phonons in the Classical Microscopic Theory
- 2.3.1 The Hamiltonians and the Equations of Motion for Sound and Phonons2.3.1.1 Sound and diffusivity; 2.3.2 The Equations of Motion for Density Fluctuations; 2.3.3 The Canonical Equations of Motion for Sound; 2.3.4 Dissipative and Relaxation Processes; 2.3.4.1 Phonons, boson peak, and viscosity; 2.4 The Kauzmann Entropy, the Vogel'226Tamman'226Fulcher Law and Specific Heat; 2.4.1 The Limitations of the Microscopic Classical Theory and the Roles of Quantum Statistics; References; Fundamentals of Quantum Field Theory; 3.1 The Number Representation and the Fock Space
- 3.1.1 The Number Representation3.1.2 The Fock Space; 3.1.3 Creation and Annihilation Operators; the Commutation Relations; 3.1.3.1 Bosons; 3.1.3.2 Fermions; 3.1.4 Creation and Annihilation Operators for Wave Packets of Particles; 3.2 An Example of Unitarily Inequivalent Representations; The Bogoliubov Transformation of Boson Operators; 3.2.1 The Bogoliubov Transformation of Boson Operators; 3.3 The Physical Particle Representation and the Dynamical Map; 3.3.1 The Physical Particles and the Heisenberg Fields in the Heisenberg Equation