1st Edition
Nonequilibrium Statistical Mechanics of Heterogeneous Fluid Systems
By Andrei G. Bashkirov
Copyright 1995
174 Pages
by
CRC Press
176 Pages
by
CRC Press
Also available as eBook on:
There is a wide variety of heterogeneous fluid systems that possess interphase surfaces. This monograph is devoted to pioneering studies in nonequilibrium statistical mechanics of such systems. Starting from the Liouville equation, the equations of surface hydrodynamics are derived with allowance for discontinuities of thermodynamic parameters of interphase boundaries. Brownian motion of a large solid particle in a fluid and nucleation are treated as results of fluctuations of flows across particle surfaces. With the use of the Gibbs method, a shock wave in a gas is considered as a sort of an interphase surface, and the surface tension of a shock front is introduced for the first time.
Preface
Zubarev Method of Nonequilibrium Statistical Operator
Contracted Description of a Statistical System
Quasiequilibrium Distribution Function
Nonequilibrium Distribution Function
Transport Phenomena at Interfaces and the Problem of Boundary Conditions in Hydrodynamics
Introduction
Geometric Description of the Surface
Local Equilibrium Distribution
Gibbs Adsorption Equation
Conservation Laws
Equations of Ideal Hydrodynamics
Nonequilibrium Distribution Function
Transport Equations for Surface Films
Motion Equations for Excess Quantities
The Problem of Boundary Conditions in Hydrodynamics
Theory of Capillary Waves Damping
Shock Waves in Gases as Interface Surfaces
Introduction
The Jump Conditions on Curved Discontinuities
Estimation of the Surface Tension Coefficient
Equations for Small Disturbances
Shock Wave Stability Analysis
Nucleation Theory: Fluctuations of Diffusion Flow across the Interface Boundary
Introduction
Total Nonequilibrium Distribution Function
Nucleation Kinetic Equation
Nucleation Coefficient
Entropy Production
Second Quantization Approach
Nonisothermal Nucleation Theory
The Model Example
Brownian Motion: Momentum Flow Fluctuations on Interphase Boundary
Introduction
Microscopic Description of the System of Brownian Particle and Fluid
Derivation of the Kinetic Equation
Boundary Conditions on the Surface of the Large Particle
Calculation of the Average Force and the Drag Coefficient
Brownian Diffusion of Large Particle in Inhomogeneous Fluid
On a Limitation of the Theory
Derivation of the Fokker-Planck Equation for the Point Brownian Particle
Kirkwood Friction Coefficient
Diffusion of the Point Particle
Brownian Motion of N Spheres in Inhomogeneous Fluids
Introduction
The N-Particle Fokker-Planck Equation
The Smoluchowski Equation
Brownian Diffusion of Suspended Particles
Convective Diffusion of Particles in Fixed Dispersed Layers
Stochastization of the Diffusion Equation
Renormalized Diffusion Coefficient
Vector and Tensor Divergencies in Curvilinear Coordinates
Mechanical Definition of Surface Tension
Exclusion of Time-Derivatives of Parameters
Bibliography
Index
Zubarev Method of Nonequilibrium Statistical Operator
Contracted Description of a Statistical System
Quasiequilibrium Distribution Function
Nonequilibrium Distribution Function
Transport Phenomena at Interfaces and the Problem of Boundary Conditions in Hydrodynamics
Introduction
Geometric Description of the Surface
Local Equilibrium Distribution
Gibbs Adsorption Equation
Conservation Laws
Equations of Ideal Hydrodynamics
Nonequilibrium Distribution Function
Transport Equations for Surface Films
Motion Equations for Excess Quantities
The Problem of Boundary Conditions in Hydrodynamics
Theory of Capillary Waves Damping
Shock Waves in Gases as Interface Surfaces
Introduction
The Jump Conditions on Curved Discontinuities
Estimation of the Surface Tension Coefficient
Equations for Small Disturbances
Shock Wave Stability Analysis
Nucleation Theory: Fluctuations of Diffusion Flow across the Interface Boundary
Introduction
Total Nonequilibrium Distribution Function
Nucleation Kinetic Equation
Nucleation Coefficient
Entropy Production
Second Quantization Approach
Nonisothermal Nucleation Theory
The Model Example
Brownian Motion: Momentum Flow Fluctuations on Interphase Boundary
Introduction
Microscopic Description of the System of Brownian Particle and Fluid
Derivation of the Kinetic Equation
Boundary Conditions on the Surface of the Large Particle
Calculation of the Average Force and the Drag Coefficient
Brownian Diffusion of Large Particle in Inhomogeneous Fluid
On a Limitation of the Theory
Derivation of the Fokker-Planck Equation for the Point Brownian Particle
Kirkwood Friction Coefficient
Diffusion of the Point Particle
Brownian Motion of N Spheres in Inhomogeneous Fluids
Introduction
The N-Particle Fokker-Planck Equation
The Smoluchowski Equation
Brownian Diffusion of Suspended Particles
Convective Diffusion of Particles in Fixed Dispersed Layers
Stochastization of the Diffusion Equation
Renormalized Diffusion Coefficient
Vector and Tensor Divergencies in Curvilinear Coordinates
Mechanical Definition of Surface Tension
Exclusion of Time-Derivatives of Parameters
Bibliography
Index
Biography
Andrei G. Bashkirov
