Preface; Contents; Chapter 1: Introduction; References; Chapter 2: Theories and Models of Ion Diffusion; 2.1 Linear Response Theory; 2.1.1 Linear Response Function; 2.1.2 The Kramers-Kronig Relations; 2.1.3 The Fluctuation-Dissipation Theorem; 2.2 Dielectric Relaxation; 2.2.1 Debye Relaxation; 2.2.2 Non-Debye Relaxation; 2.3 Conductivity Relaxation; 2.3.1 Electric Modulus Formalism; 2.3.2 Conductivity Formalism; 2.3.3 Empirical Description of Ion Dynamics. Distribution of Relaxation Times; 2.3.4 Ion Diffusion Mechanisms; 2.3.5 Temperature Dependence of Ion Diffusion

2.3.6 One Dimensional Random-Hopping Model for Ionic Conductivity2.4 Non-Gaussianity of Dynamics; 2.4.1 Relation Between Jump Rate and Relaxation Rate in the Stretched Exponential Decay: From the Modeling by the Molecular Dy...; 2.4.2 Relation Between Power Law Exponent of MSD and Characteristics of Jump Motions; 2.4.3 Relation Between the Theory of Fractal and the Characteristics of Jumps; 2.4.4 Distribution of Length Scales and Lévy Distribution; 2.4.5 Heterogeneity and Multifractal Mixing of Different Length Scales; 2.4.6 Separation of Exponents Having Different Origins

2.5 Models of Ion Dynamics2.5.1 Random Barrier Model; 2.5.2 The MIGRATION Concept; 2.5.3 The Coupling Model; References; Chapter 3: Experimental Probes for Ion Dynamics; 3.1 Impedance Spectroscopy; 3.1.1 Description of the Technique; 3.1.2 IS Data Analysis; 3.1.3 Experimental Considerations; 3.2 Nuclear Magnetic Resonance; References; Chapter 4: Electrical Response of Ionic Conductors; 4.1 Electrical Conductivity Relaxation in Glassy, Crystalline and Molten Ionic Conductors; 4.1.1 Frequency Dependence of Ionic Conductivity Relaxation

4.1.2 Dissection into Contributions from Different Time/Frequency Regimes4.2 Comparison of Methods for Analysis of Data; 4.2.1 The Electric Modulus; 4.2.1.1 Accurately Calculating epsi(omega) from Kohlrausch Fit to M*(omega); 4.2.1.2 Unwarranted Fixation with Scaling of log[sigma(f)/sigmadc] to a Master Curve; 4.2.1.3 Reaching a Dead End After Scaling; 4.2.1.4 Accurately Calculated sigmadc from the Kohlrausch Fit to M*(omega); 4.2.1.5 Making Easier for Anyone to Fit M*(omega) and Determine beta; 4.2.2 Jonscher Expression and Augmented Jonscher Expression to Fit sigma(f)

4.3 Relevance of Theories and Models to Experimental Findings4.3.1 Random Barrier Models; 4.3.2 Jump Relaxation Models and the MIGRATION Concept; 4.3.2.1 Limitations of MC; 4.3.3 Comparison of MC with CM; 4.3.4 Monte Carlo and Molecular Dynamics Simulations; 4.4 The Coupling Model (CM); 4.4.1 The CM Based on Universal Statistics of Energy Levels; 4.4.2 Tracing the Key Result of the CM, W(t)=W0(omegact)-n, Back to R. Kohlrausch; 4.4.3 Coupling Model from Classical Chaos; 4.4.4 Relaxation of Interacting Arrays of Phase-Coupled Oscillators; 4.5 Experimental Verifications of the CM