Relaxation Phenomena in Condensed Matter Physics features various methods for spectroscopy techniques presented in this book and the relation of these techniques to correlation functions. This book aims to present the similarities and differences between different studies of the relaxation phenomena and to come up with a unified theoretical approach.
This text is divided into two major parts, A and B. Part A deals briefly with several spectroscopy experiments and how they can be analyzed in terms of correlation functions. Spectroscopy techniques are likewise discussed in this part. Part B focuses on the stochastic theory of the said correlation functions, where each stochastic model is situated in the context of a physical process. The result of the calculations is then related to one of the experiments featured in Part A. These stochastic methods provide a simple mathematical framework in analyzing relaxation phenomena that can be related to diffusion process.
This book is targeted to graduate students who have already taken quantum and statistical physics and is a good reference to students, scientists, and researchers in the field of condensed matter physics.

Contenu

Preface
Acknowledgments
Glossary of Abbreviations Used
Part A: Spectroscopy Techniques and Associated Correlation Functions
Introduction to Part A
Chapter I Response Theory: Magnetic, Dielectric, and Anelastic Relaxation
I.1 Response
I.2 Relaxation
I.3 Generalized Susceptibility
I.4 Susceptibility and Power Absorbed: The Fluctuation-Dissipation Theorem
I.5 LRT and the Golden Rule
I.6 Magnetic, Dielectric, and Anelastic Relaxation
Appendix I.1 The Liouville Operator in Classical Mechanics
Appendix I.2 The Liouville Operator in Quantum Mechanics
Appendix I.3 The Density Operator in Quantum Statistics
References and Notes
Suggestions for Further Reading
Chapter II Absorption Spectroscopy
II.1 Electron Spin Resonance
II.2 Nuclear Magnetic Resonance
II.3 Infrared Absorption
II.4 Atomic Absorption in Gases
II.5 Mössbauer Spectroscopy
Appendix II.1 Spectral Properties of Correlation Functions
Appendix II.2 Symmetry Properties of Correlation Functions
References and Notes
Chapter III Scattering Spectroscopy
III.1 Neutron Scattering
III.2 Raman Scattering
References and Notes
Chapter IV Angular Correlation Spectroscopy
IV.1 Perturbed Angular Correlation of Gamma Rays
IV.2 Muon Spin Rotation
References and Notes
Chapter V Common Relaxation Phenomena: Different Techniques
V.1 Atomic Diffusion as Studied by Neutron and Mössbauer Spectroscopy
V.2 Rotational Relaxation as Studied by IR and Raman Spectroscopy
V.3 Time-Dependent Hyperfine Interaction as Studied by PAC, Mössbauer Effect, µSR, and NMR
References and Notes
Part B: Stochastic Modeling of Correlation Functions
Introduction to Part B
References and Notes
Chapter VI Stationary Markov Processes
VI.1 Definitions
VI.2 Markov Processes
VI.3 Continuous-Time Random Walk Method
References and Notes
Chapter VII Discrete Jump Process
VII.1 Two-Level Jump Process
VII.2 Application of TJP to Superparamagnetic Relaxation
VII.3 Multilevel Jump Processes
VII.4 The Kubo-Anderson Process
References
Chapter VIII Randomly Interrupted Deterministic Motion
VIII.1 The Stochastic Liouville Equation
VIII.2 Application of TJP to Mössbauer Relaxation Spectra
VIII.3 Application to Two-Level KAP: Vibrational Relaxation
VIII.4 Nonsecular Effects in the Line Shape
References and Notes
Chapter IX Continuous Jump Processes
IX.1 Kubo-Anderson Process
IX.2 The Kangaroo Process
References and Notes
Chapter X Impulse Processes
X.1 Interaction Effects in Collision Broadening
X.2 Vibrational Depopulation in Molecular Spectroscopy
X.3 Time-Dependent Hyper Fine Interactions
X.4 Rotational Diffusion of Molecules in Liquids and Gases
References and Notes
Chapter XI Combination of Jump and Impulse Processes
XI.1 Velocity Modulation and Interaction Effects in Collision Broadening
XI.2 Vibrational Dephasing and Depopulation in Molecular Spectroscopy
XI.3 More Complex Processes: Joint Treatment of Velocity Modulation, Interaction Effects, and Frequency Modulation in Collision Broadening
XI.4 Extended Diffusion Models of Molecular Rotations
References
Chapter XII Fokker-Planck Processes
XII.1 Introduction
XII.2 Examples of Fokker-Planck Processes
XII.3 Translational Brownian Motion of Interstitial Atoms: Application to Elastic Diffusion Relaxation (the Gorsky Effect)
XII.4 Application of Rotational Brownian Motion to Molecular Tumbling in Liquids
XII.5 Weak Collision Model of Collisional Broadening of Spectra
XII.6 Vibrational Dephasing in the Weak Collision Model
XII.7 Spin Relaxation in the Weak Collision Model
XII.8 Neutron Scattering from a Classical Oscillator Undergoing Brownian Motion
References and Notes
Chapter XIII Fokker-Planck Equation in a Potential Field
XIII.1 Introduction
XIII.2 Calculation of the Jump Rate across a Barrier
XIII.3 Application: Superparamagnetic Relaxation
References and Notes
Chapter XIV Relaxation in Cooperative Systems
XIV.1 Introduction
XIV.2 The Spin Flip Glauber Model
XIV.3 The One-Dimensional Case
XIV.4 Response and Relaxation Behavior
XIV.5 The Three-Dimensional Case
References and Notes
Chapter XV Relaxation in Disordered Systems
XV.1 Introduction
XV.2 Disordered Ising Chain
XV.3 Non-Debye Relaxation in Glassy Systems
XV.4 Concluding Remarks
References and Notes
Index