Glassy Disordered Systems: Glass Formation and Universal Anomalous Low-energy Properties

ISBN-10: 981440747X
ISBN-13: 9789814407472
Edition: 2012
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Description: The fundamental features of glassy disordered systems at high temperatures (close to the liquid-to-glass transition) are described, as well as the universal anomalous properties of glasses at low energies (i.e. temperatures/frequencies lower than  More...

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Book details

Copyright year: 2012
Publisher: World Scientific Pub Co Inc
Binding: Cloth Text 
Pages: 230
Size: 6.25" wide x 9.00" long x 1.00" tall
Weight: 1.298
Language: English

The fundamental features of glassy disordered systems at high temperatures (close to the liquid-to-glass transition) are described, as well as the universal anomalous properties of glasses at low energies (i.e. temperatures/frequencies lower than the Debye values). Several important theoretical models for both the glass formation and the universal anomalous properties of glasses are described and analysed.

Preface
Fundamental Properties of Glasses
General Description of Glasses and Glass Transition
Metastability and disorder. Types of glasses
Qualitative description of glass (liquid-to-glass) transition
Kinetic and thermodynamic properties
Slow relaxation processes
Models of Glassy (Topologically Disordered) Structures
Characteristics of glassy structures
Homogeneous (ideal) models
Inhomogeneous (cluster) models
Some Theoretical Models of Glass Transition
Vogel-Fulcher relation and "entropy crisis"
Role of configurational entropy, free-volume effects and "defects" diffusion
Mode-coupling model: Dynamic liquid-glass transition
Kohlrausch-William-Watt (KWW) Relaxation
General features of slow relaxation processes
Parallel-diffusion relaxation models
Correlated, hierarchically constrained, relaxation models
Concluding remarks
Anomalous Low-Energy Dynamics of Glasses
Origin of Anomalous Low-Energy Properties of Glasses
Experimental Background for Anomalous Low-Energy Atomic Dynamics
Very low temperatures and frequencies
Moderately low temperatures and frequencies
Soft-Mode Model of Low-Energy Atomic Dynamics
Atomic soft modes and related potentials
Probability distribution densities
Low-energy excitations: Density of states and concentration
Interaction of soft-mode excitations with acoustic phonons
Soft-Mode Excitations of Very Low and "Intermediate" Energies
Soft-mode tunneling states (independent two-level systems)
Soft-mode excitations of "intermediate" energies
Tunneling States as Very Low Energy Limit Case
Standard tunneling model: Independent two-level systems
Advanced tunneling model: Interacting two-level systems
Mean-field approximation: "Spectral diffusion"
Many-body effects: Collective excitations
Soft-Mode Excitations of Moderately-Low Energies (Boson Peak)
Ioffe-Regel crossover for acoustic phonons as origin of boson peak
Independent soft-mode vibrational excitations
Total vibrational density of independent soft-mode states
Generalization for interacting harmonic excitations
Total vibrational density of states: dynamic properties
Width (attenuation) of acoustic phonons
Thermal vibrational properties of glasses
On Universal and Non-Universal Dynamic Properties of Glasses
Very low temperatures and frequencies
On universality of basic distributions in ATM
On universality of soft-mode distribution in SMM
Moderately low temperatures and frequencies
Other Models for Glasses with High Frequency Sound
Theoretical mode-coupling model
Theoretical random-matrix model
Comparison with the soft-mode model
Recent Models for Glasses with No High-Frequency Sound
Boson peak: Ioffe-Regel crossover at elastic acoustic scattering
Dynamic and thermal anomalies at elastic acoustic scattering
Boson peak due to spatially random springs constants
Nakayama model: Boson peak vs strongly localised modes
Anomalous Electron Properties of Semiconducting Glasses
Basic experimental data
Negativc-U centres: Anderson model
Street-Mott and Kastner-Adler-Fritzsche models
Qualitative analysis of negative-U centres
Soft-Mode Model of Localized Electron States in the Glasses
General considerations
Model of negative-U centres: Basic relations and approximations
Adiabatic potentials and electron energy
Basic features of self-trapped states and negative-U centres
Density of states and thermal equilibrium properties
Concluding remarks
Additional Manifestations of Soft Modes in Glasses
Negative-U centres model of photostructural changes in semiconducting glasses
Gap-light frequency dependence
Temperature dependence
Summary, Conclusions and Problems
Convolution of Soft-Mode Vibrational DOS and Transformation Kernel in the DOS of BP and HFS Excitations
References
Index

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