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Hydrodynamic fluctuations, broken symmetry, and correlation functions

Author: Dieter Forster; David Pines
Publisher: Boca Raton : CRC Press, 2018.
Series: Advanced book classics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
From the Preface: "The purpose of this book is to present and apply a language and to discuss methods which make it very convenient to exploit such analogies, and which are uniquely suited to describe and explain non-equilibrium phenomena in a rich variety of many-particle systems: the language of time correlation functions and linear response theory."
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Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Dieter Forster; David Pines
ISBN: 9780429493683 0429493681
OCLC Number: 1028553206
Description: 1 online resource.
Contents: Cover; Half Title; Title Page; Copyright Page; Publisherâ#x80;#x99;s Foreword; Vita; Special Preface; Dedication; Editor's Foreword; Preface; Table of Contents; CHAPTER 1: INTRODUCTION; CHAPTER 2: A SIMPLE EXAMPLEâ#x80;#x94;SPIN DIFFUSION; 2.1 Hydrodynamic Description; 2.2 Spin Correlation Function (Roughly); 2.3 Magnetic Neutron Scattering; 2.4 The Static Susceptibility; 2.5 Linear Dynamical Response; 2.6 Hydrodynamics and Correlation Function; 2.7 The Fluctuation-Dissipation Theorem; 2.8 Positivity of Ï#x89;x""(kÏ#x89;); 2.9 Sum Rules; 2.10 Relaxation Time Approximation; 2.11 Dispersion Relation Representation CHAPTER 3: FORMAL PROPERTIES OF CORRELATION FUNCTIONS3.1 Linear Dynamical Response; 3.2 Symmetry Properties; 3.3 Positivity of Ï#x89;x""(kÏ#x89;) and Dissipation; 3.4 Sum Rules; 3.5 The Fluctuation-Dissipation Theorem; CHAPTER 4: THE NORMAL FLUID; 4.1 The Equations of Fluid Dynamics; 4.2 Solution of the Hydrodynamic Equations; 4.3 Thermodynamic Sum Rules; 4.4 The Hydrodynamic Correlation Functions; 4.5 Light Scattering; 4.6 Kubo Expressions for the Transport Coefficients; 4.7 Free Particle Behavior; 4.8 Sum Rule Calculations; CHAPTER 5: THE MEMORY FUNCTION FORMALISM 5.1 Projectors and Memory Functions5.2 Memory Function Matrices; 5.3 Extension to Quantum Mechanics; 5.4 Spin Diffusion Revisited; CHAPTER 6: BROWNIAN MOTION; 6.1 The Momentum Autocorrelation Function; 6.2 The Generalized Langevin Equation; 6.3 Diffusion of a Heavy Particle; 6.4 The Fokker-Planck Equation; CHAPTER 7: BROKEN SYMMETRY; 7.1 Long-Ranged Correlations and Slow Modes; 7.2 Broken Symmetry in a Ferromagnet; 7.3 The Bogoliubov Inequality; 7.4 The Goldstone Theorem; 7.5 Some Additional Considerations; 7.6 Hydrodynamic Goldstone Modes; CHAPTER 8: HYDRODYNAMIC SPIN WAVES IN FERROMAGNETS 8.1 Symmetry Properties8.2 Undamped Spin Waves; 8.3 Damped Spin Waves; 8.4 Sum Rules and Kubo Formulae; 8.5 Corrections; 8.6 Longitudinal Fluctuations; CHAPTER 9: HYDRODYNAMIC SPIN WAVES IN ANTIFERROMAGNETS; 9.1 Long-Ranged Order; 9.2 Symmetry Considerations; 9.3 Undamped Spin Waves; 9.4 Spin Wave Damping; 9.5 Para-, Ferro-, and Antiferromagnets; CHAPTER 10: SUPERFLUIDS; 10.1 Superflow and Long-Ranged Correlations; 10.2 Broken Gauge Symmetry; 10.3 Bose Condensation and the Order Parameter; 10.4 Long-Ranged Phase Coherence; 10.5 Hydrodynamics without Dissipation; 10.6 Dissipation 10.7 Kubo Relations10.8 The Phenomenological Two-Fluid Equations; 10.9 Absence of Bose Condensation in 2 Dimensions; CHAPTER 11: NEMATIC LIQUID CRYSTALS; 11.1 The Free Energy of Distortion; 11.2 The Order Parameter; 11.3 The Light Scattering Intensity; 11.4 Transverse Hydrodynamic Fluctuations; 11.5 Longitudinal Hydrodynamic Fluctuations; 11.6 The Phenomenological Equations of Motions; 11.7 What is a Solid?; CHAPTER 12: SUPERCONDUCTORS; 12.1 Bose Condensation in a Fermi System; 12.2 Superconductivity and Meissner Effect; 12.3 Coulomb Forces; 12.4 Linear Response of Charged Systems; APPENDIX
Series Title: Advanced book classics.
Responsibility: Dieter Forster.

Abstract:

From the Preface: "The purpose of this book is to present and apply a language and to discuss methods which make it very convenient to exploit such analogies, and which are uniquely suited to describe and explain non-equilibrium phenomena in a rich variety of many-particle systems: the language of time correlation functions and linear response theory."

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