Relaxation Phenomena in condensed Matter Physics

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