Physical Kinetics Classical and Quantum Problems and Solutions

This book includes problems based on the material in the course of physical kinetics for the students of general and applied physics. It contains 60 problems with detailed solutions. The comments to the problems reflect the connection with the problems and methods of modern physical kinetics. A brief introduction gives the necessary information for solving and understanding the problems. The book is proposed for students and postgraduates studying the theoretical physics. The book is used as a supplement to the textbooks published on physical kinetics. The purpose of the book is to help students in training the practical skills and mastering the basic elements of physical kinetics. To understand the subject matter, it is sufficient to know the traditional courses of theoretical physics.

1. Brief reminders

1.1. The Boltzmann transport equation

1.2. The generalized susceptibility and the linear response

1.3. The fluctuation-dissipation theorem

1.4. The Onsager reciprocal relations

1.5. The Lindblad master equation

 

2. Problems

2.1. The Langevin equation and the fluctuation-dissipation theorem

2.2. The Boltzmann transport equation in the t-approximation: the thermoelectric effects in conductors

2.3. Galvanomagnetic effects in metals

2.4. Kinetic phenomena in a metal and normal Fermi liquid

2.5. Electron-phonon scattering in a metal: the transport coefficients

2.6. The electron scattering with magnetic impurities: the Kondo effect

2.7. Weak localization effects in a metal with impurities

2.8. Ballistic electron transport in the mesoscopic systems

2.9. The rarified Bose and Fermi gases

2.10. The hopping Mott conductivity and the Coulomb gap

2.11. Kinetics of phonons and thermal conductivity in dielectrics

2.12. The hydrodynamics of normal and superfluid liquids: sound oscillations and energy dissipation

2.13. Kapitza resistance and kinetic phenomena at the superfluidsolid helium interface

2.14. Collisionless plasma: the permittivity and the longitudinal and transverse oscillations

2.15. Kinetics of first-order phase transitions: melting and solidification

2.16. Macroscopic quantum tunneling

2.17. Macroscopic quantum nucleation

2.18. Open quantum systems: the Lindblad equation

2.19. Elements of diagrammatic Keldysh technique for non-equilibrium systems

 

3. Solutions of Problems

3.1. The Langevin equation and the fluctuation-dissipation theorem

3.2. The Boltzmann transport equation in the _-approximation: the thermoelectric effects in conductors

3.3. Galvanomagnetic effects in metals

3.4. Kinetic phenomena in a metal and normal Fermi liquid

3.5. Electron-phonon scattering in a metal: the transport coefficients

3.6. The electron scattering with magnetic impurities: the Kondo effect

3.7. Weak localization effects in a metal with impurities

3.8. Ballistic electron transport in the mesoscopic systems

3.9. The rarified Bose and Fermi gases

3.10. The hopping Mott conductivity and the Coulomb gap

3.11. Kinetics of phonons and thermal conductivity in dielectrics

3.12. The hydrodynamics of normal and superfluid liquids: sound oscillations and energy dissipation

3.13. Kapitza resistance and kinetic phenomena at the superfluidsolid helium interface

3.14. Collisionless plasma: permittivity and the longitudinal

and transverse oscillations

3.15. Kinetics of first-order phase transitions: melting and solidification

3.16. Macroscopic quantum tunneling

3.17. Macroscopic quantum nucleation

3.18. Open quantum systems: the Lindblad equation

3.19. Elements of diagrammatic Keldysh technique for non-equilibrium systems

Bibliography

Index

Serguei N. Burmistrov is Researcher and Lecturer at the Russian Research Center "Kurchatov Institute," Moscow, Russia