Molecular Hydrodynamics

Preface Symbols and Notations 1 Hydrodynamics and Molecular Dynamics 1.1 Motivattion 1.2 Time Correlation Functions 1.3 Experimental Aspects 1.4 Theoretical Aspects 2 Time Correlation Functions: General Properties and Basic Formalism 2.1 Introduction 2.2 Space-Time Correlation Functions 2.3 Static Correlation Functions 2.4 Sum Rules and Short-Time Behavior 2.5 Long-Time Behavior and Transport Coefficients 2.6 The Memory Function Equation 2.7 Linear Response Theory 2.8 Kinetic Theory 2.9 Mode Coupling Theory Notes 3 Self-Diffusion 3.1 Introduction 3.2 The Velocity Autocorrelation Function and Its Memory Function 3.3 Short-Time Behavior and Implications of Nonexponential Decay 3.4 Long-Time Behavior and Implications of Nonexponential Decay 3.5 Memory Function Models 3.6 Dynamical Calculations 4 Space-Dependent Diffusion 4.1 Introduction 4.2 General Properties 4.3 Two Idealized Systems 4.4 The Cumulant Expansion 4.5 The Gaussian Approximation and Non-Gaussian Corrections 4.6 The Memory Function Approach 4.7 Linear Response Theory and Higher-Order Memory Functions 4.8 Kinetic Theory Calculations 5 Hydrodynamic Fluctuations 5.1 Introduction 5.2 The Hydrodynamic Equations 5.3 The Hydrodynamic Modes 5.4 Relaxation Processes and Dispersion Effects 5.5 Two-Component Systems Notes 6 Fluctuations at Finite Wavelengths and Finite Frequencies 6.1 Introduction 6.2 Transverse Current Fluctuations-Intuitive Approach 6.3 Density and Longitudinal Current Fluctuations-Intuitive Approach 6.4 Generalized Langevin Equation Formalism 6.5 Generalized Susceptibility Formalism-Connections with Self-Correlations 6.6 Neutron Scattering and Computer Simulation Results 6.7 Kinetic Theory and Mode-Coupling Analyses Appendixes A -A Light Scattering Probe of Short-Time Dynamics B -Time and Space-Dependent Correlations in Liquid-Like Brownian Systems References Index