Series 
Topics in applied physics, 03034216 ; volume 132 

Topics in applied physics ;
v. 132.

Subject 
Ionic solutions.


Electric conductivity.


Irreversible processes.

Alt Name 
Leon, Carlos (Leon Yebra), 1968


Ngai, K. L.,

Description 
1 online resource (xix, 600 pages) : illustrations (some color). 
Contents 
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 KramersKronig Relations; 2.1.3 The FluctuationDissipation Theorem; 2.2 Dielectric Relaxation; 2.2.1 Debye Relaxation; 2.2.2 NonDebye 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 RandomHopping Model for Ionic Conductivity2.4 NonGaussianity 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 Levy 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 PhaseCoupled Oscillators; 4.5 Experimental Verifications of the CM. 
Bibliography Note 
Includes bibliographical references and index. 
Summary 
This book discusses the physics of the dynamics of ions in various ionically conducting materials, and applications including electrical energy generation and storage. The experimental techniques for measurements and characterization, molecular dynamics simulations, the theories of ion dynamics, and applications are all addressed by the authors, who are experts in their fields. The experimental techniques of measurement and characterization of dynamics of ions in glassy, crystalline, and liquid ionic conductors are introduced with the dual purpose of introducing the reader to the experimental activities of the field, and preparing the reader to understand the physical quantities derived from experiments. These experimental techniques include calorimetry, conductivity relaxation, nuclear magnetic resonance, light scattering, neutron scattering, and others. Methods of molecular dynamics simulations are introduced to teach the reader to utilize the technique for practical applications to specific problems. The results elucidate the dynamics of ions on some issues that are not accessible by experiments. The properties of ion dynamics in glassy, crystalline and liquid ionic conductors brought forth by experiments and simulations are shown to be universal, i.e. independent of physical and chemical structure of the ionic conductor as long as ionion interaction is the dominant factor. Moreover these universal properties of ion dynamics are shown to be isomorphic to other complex interacting systems including the large class of glassforming materials with or without ionic conductivity. By covering the basic concepts, theories/models, experimental techniques and data, molecular dynamics simulations, and relating them together, Dynamics of Glassy, Crystalline and Liquid Ionic Conductors will be of great interest to many in basic and applied research areas from the broad and diverse communities of condensed matter physicists, chemists, materials scientists and engineers. The book also provides the fundamentals for an introduction to the field and it is written in such a way that can be used for teaching courses either at the undergraduate or graduate level in academic institutions. 
Note 
Print version record. 
ISBN 
9783319423913 (electronic bk.) 

3319423916 (electronic bk.) 

9783319423890 

3319423894 
ISBN/ISSN 
10.1007/9783319423913 
OCLC # 
961117441 
Additional Format 
Print version: Dynamics of Glassy, Crystalline and Liquid Ionic Conductors. [Place of publication not identified] : Springer Verlag 2016 9783319423890 (OCoLC)952383818 
