Nonequilibrium Statistical Mechanics of Heterogeneous Fluid Systems

by Andrei G. Bashkirov

Overview

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.

Product Details

ISBN-13:	9781000141153
Publisher:	CRC Press
Publication date:	10/07/2020
Sold by:	Barnes & Noble
Format:	eBook
Pages:	176
File size:	8 MB

About the Author

Andrei G. Bashkirov

Table of Contents

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