Book contents
- Frontmatter
- Dedication
- Contents
- List of Figures
- List of Tables
- Acknowledgements
- Nomenclature
- 1 Introduction
- 2 The Boltzmann Equation 1: Fundamentals
- 3 The Boltzmann Equation 2: Fluid Dynamics
- 4 Transport in Dilute Gas Mixtures
- 5 The Dilute Lorentz Gas
- 6 Basic Tools of Nonequilibrium Statistical Mechanics
- 7 Enskog Theory: Dense Hard-Sphere Systems
- 8 The Boltzmann–Langevin Equation
- 9 Granular Gases
- 10 Quantum Gases
- 11 Cluster Expansions
- 12 Divergences, Resummations, and Logarithms
- 13 Long-Time Tails
- 14 Transport in Nonequilibrium Steady States
- 15 What’s Next
- Bibliography
- Index
15 - What’s Next
Published online by Cambridge University Press: 18 June 2021
- Frontmatter
- Dedication
- Contents
- List of Figures
- List of Tables
- Acknowledgements
- Nomenclature
- 1 Introduction
- 2 The Boltzmann Equation 1: Fundamentals
- 3 The Boltzmann Equation 2: Fluid Dynamics
- 4 Transport in Dilute Gas Mixtures
- 5 The Dilute Lorentz Gas
- 6 Basic Tools of Nonequilibrium Statistical Mechanics
- 7 Enskog Theory: Dense Hard-Sphere Systems
- 8 The Boltzmann–Langevin Equation
- 9 Granular Gases
- 10 Quantum Gases
- 11 Cluster Expansions
- 12 Divergences, Resummations, and Logarithms
- 13 Long-Time Tails
- 14 Transport in Nonequilibrium Steady States
- 15 What’s Next
- Bibliography
- Index
Summary
The contents of the book are summarized, briefly. Important applications of kinetic theory not covered in the book are mentioned. For classical systems, these applications include kinetic equations for plasmas, for nucleation and aggregation, and for active matter. For quantum systems the phenomenon of localization electrons in amorphous solids, closely related to the kinetic theory of the classical Lorentz gas, is not discussed. Also not discussed are: (1) the theory for electron transport in metals involving electron-phonon interactions, (2) the theory describing long time tail effects in metallic systems that lead to non analytic terms in magnetic susceptibilities, and (3) the kinetic theory of the quark-gluon plasma formed in heavy ion collisions. The book concludes with the observation that one can find parallel developments in gravitational physics, particularly the appearance of hydrodynamic behavior and long time tails in the holographic AdS/CFT theory of black holes.
Keywords
- Type
- Chapter
- Information
- Contemporary Kinetic Theory of Matter , pp. 577 - 588Publisher: Cambridge University PressPrint publication year: 2021