PHYSICAL KINETICS
(12 Lectures )
Lecture 1.
Liouville theoreme, distribution fucntion and the
Boltzmann equation. Hypothesis of molecular chaos
and collision integral.
Examples of electron collisions in solids. Detailed
ballance. Maxwell,
Bose-Einstein and Fermi-Dirac distributions.
Lecture 2. Tau-approximation
for collision integral. Diffusion
equation, linear responce, conductivity and the Einstein
relations.
Magnetoresistance, the Hall effect and thermo-power
for electrons in
metals.
Lecture 3. Derivation of Hydrodynamics
from Kinetics. Kinetic
coefficients of atomic gases
Lecture 4. Self-consistent field and
collision-less dynamics for
plasma. Plasma oscillations and the Landau damping.
Lecture 5. Diffusion approximation for
the Boltzmann
equation. Fokker-Plank equation for heavy particle
in a gas of light
particles. Hot electrons in semiconductors and weakly
ionized
plasma. Electron temperature, current-voltage characteristics,
the energy
relaxation rate.
Lecture 6. Coulomb collisions in plasma.
Landau collision integral
for the Coulomb scattering. Heat tranport from
electrons to
ions. Running away.
Lecture 7. Boundary problem for kinetic
equation. Normal and
anomalous skin-effect.
Lecture 8.Kinetics of cascade processes.
An example: `ballistic`
phonons in dielectrics. Non-local phonon thermo-conductivity.
Lecture 9. BBGK hierarchy of kinetic
equations. Fluctuation of
the distribution function. Equilibrium and non-equilibrium
noises. Example: Noise of hot electrons in semiconductors.
Lecture 10. Kinetics of first order
phase transition. Nucleation and
Coalescence. Lifshits-Sleozov scaling.
Lecture 11. Quantum kinetics. Wigner
function and kinetic
equation. Magnetic resonance. Bloch equation. Longitudinal
and transverce
relaxation rates. Examples. Non-linearity, saturation.
Hyperfine
interaction of Overhauser effect.
Lecture 12. Non-equlibrium superconductivity.
Kinetic
equations. Charge imbalance. Penetration of electric
field in
superconductors. Collective excitations.
APPEDICES
Appendix 1.
Rarified Gases
Appendix 2.
Gases of rotating molecules.
Appendix 3.
Plasma in Magnetic Field. Collision-less Hydrodynamics.
Waves and Instabilities. Modification of Collision
Integral in
Magnetic Field
Appendix 4.
Sound attenuation in metals. Non-linear attenuation
Appendix 5.
Kinetics of spin magnetization in metals
Appendix 6.
Kramers' Problem of escape from a Trap
Appendix 7.
Instabilities
Appendix 8.
Chemical Kinetics and Fluctuations
Appendix 9.
Keldysh Diagrammatics.
Appendix 10.
Long Time Tails and Crisis of Classical Kinetics