In this monograph, nonequilibrium statistical mechanics is developed by means of ensemble methods on the basis of the Boltzmann equation, the generic Boltzmann equations for classical and quantum dilute gases, and a generalised Boltzmann equation for dense simple fluids. The theories are developed in forms parallel with the equilibrium Gibbs ensemble theory in a way fully consistent with the laws of thermodynamics. The generalised hydrodynamics equations are the integral part of the theory and describe the evolution of macroscopic processes in accordance with the laws of thermodynamics of systems far removed from equilibrium.
Audience: This book will be of interest to researchers in the fields of statistical mechanics, condensed matter physics, gas dynamics, fluid dynamics, rheology, irreversible thermodynamics and nonequilibrium phenomena.

Inhalt

1. Introduction. 2. Thermodynamics of Irreversible Processes. 3. Boltzmann Equation. 4. Equilibrium Solution and Local Variables. 5. Mathematical Preparation. 6. The Chapman-Enskog and Moment Methods. 7. Classical Nonequilibrium Ensemble Method. 8. Transport Processes in Fluids. 9. Quantum Nonequilibrium Ensemble Method. 10. Nonequilibrium Ensemble Method for Dense Fluids. A. Addition Theorem of Tensor Hermite Polynomials. B. Density Matrix and Evolution Equations. Index.