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