Molecular Hydrodynamics

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  • Edition: Reprint
  • Format: Paperback
  • Copyright: 2013-07-18
  • Publisher: Dover Publications

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This graduate-level introduction to the theory and applications of time correlation functions and the molecular theory of fluid dynamics provides experimentalists with the theoretical tools useful for analysis of experimental results, and theoreticians a comprehensive source of illustrations of theories most relevant in practical applications. The book reviews the concepts, basic tools and basic approximations of molecular hydrodynamics, then explores self-diffusion, space-dependent diffusion, hydrodynamic fluctuations, fluctuations at finite wavelengths and finite frequencies. 110 illustrations.

Table of Contents

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
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
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
  A -A Light Scattering Probe of Short-Time Dynamics
  B -Time and Space-Dependent Correlations in Liquid-Like Brownian Systems

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