Nonequilibrium Statistical Mechanics of Heterogeneous Fluid Systems

ISBN-13: 9780849328602 / Angielski / Twarda / 1995 / 176 str.

Andrei G. Bashkirov

Opis

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.

Spis treści

PrefaceZubarev Method of Nonequilibrium Statistical OperatorContracted Description of a Statistical SystemQuasiequilibrium Distribution FunctionNonequilibrium Distribution FunctionTransport Phenomena at Interfaces and the Problem of Boundary Conditions in HydrodynamicsIntroductionGeometric Description of the Surface Local Equilibrium DistributionGibbs Adsorption EquationConservation LawsEquations of Ideal HydrodynamicsNonequilibrium Distribution FunctionTransport Equations for Surface FilmsMotion Equations for Excess QuantitiesThe Problem of Boundary Conditions in HydrodynamicsTheory of Capillary Waves DampingShock Waves in Gases as Interface SurfacesIntroductionThe Jump Conditions on Curved DiscontinuitiesEstimation of the Surface Tension CoefficientEquations for Small DisturbancesShock Wave Stability AnalysisNucleation Theory: Fluctuations of Diffusion Flow across the Interface BoundaryIntroductionTotal Nonequilibrium Distribution FunctionNucleation Kinetic EquationNucleation CoefficientEntropy ProductionSecond Quantization ApproachNonisothermal Nucleation TheoryThe Model ExampleBrownian Motion: Momentum Flow Fluctuations on Interphase BoundaryIntroductionMicroscopic Description of the System of Brownian Particle and FluidDerivation of the Kinetic EquationBoundary Conditions on the Surface of the Large ParticleCalculation of the Average Force and the Drag CoefficientBrownian Diffusion of Large Particle in Inhomogeneous FluidOn a Limitation of the TheoryDerivation of the Fokker-Planck Equation for the Point Brownian ParticleKirkwood Friction CoefficientDiffusion of the Point ParticleBrownian Motion of N Spheres in Inhomogeneous FluidsIntroductionThe N-Particle Fokker-Planck EquationThe Smoluchowski EquationBrownian Diffusion of Suspended ParticlesConvective Diffusion of Particles in Fixed Dispersed LayersStochastization of the Diffusion EquationRenormalized Diffusion CoefficientVector and Tensor Divergencies in Curvilinear CoordinatesMechanical Definition of Surface TensionExclusion of Time-Derivatives of ParametersBibliographyIndex

O autorze

Andrei G. Bashkirov