Nonequilibrium statistical mechanics of heterogeneous fluid systems

Andrei G. Bashkirov

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.

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[目次]

  • 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

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この本の情報

書名 Nonequilibrium statistical mechanics of heterogeneous fluid systems
著作者等 Bashkirov, Andrei G.
Bashkirov A.G.
出版元 Tokyo : CRC Press
刊行年月 c1995
ページ数 162 p.
大きさ 25 cm
ISBN 0849328608
NCID BA25319731
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言語 英語
出版国 アメリカ合衆国
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