A sketch of students (or, perhaps, fellows) in a manuscript of William of Ockham's commentary on Aristotle's Physics (MS293 from the Merton College library, image courtesy of J. Walwarth). 
Michaelmas
Term
2017 LECTURES Fisher Room (DWB) Monday 10:0011:00 (weeks 1, 48) Mondays 16:0018:00 (weeks 18) Tuesdays 14:0016:00 (weeks 1, 3, 8) CLASSES Fisher Room (DWB) Tuesdays 14:0016:00 (weeks 5, 7, 9) EXAM in week 0 of Hilary Term Course materials, reading suggestions, scheduling notices, problem sets to appear below. 
A sketch of students (or, perhaps, fellows) in a manuscript of William of Ockham's commentary on Aristotle's Physics (MS293 from the Merton College library, image courtesy of J. Walwarth). 

PART I: KINETIC THEORY OF GASES 
Lectures
19 (Mon 9.10.17  Mon 23.10.17) Dr Paul Dellar
Timescales
and length scales. Hamiltonian mechanics of N particles. Liouville’s
Theorem. Reduced distributions. BBGKY hierarchy. BoltzmannGrad limit
and truncation of BBGKY equation for the 2particle distribution
assuming a shortrange potential. Boltzmann's collision operator and
its conservation properties. Boltzmann's entropy and the Htheorem.
MaxwellBoltzmann distribution. Linearised collision operator. Model
collision operators: the BGK operator, FokkerPlanck operator.
Derivation of hydrodynamics via ChapmanEnskog expansion. Viscosity and
thermal conductivity.
The objective of this part of the course is to introduce the basic language of kinetic theory and show how, starting from a kinetic description, one can construct fluid equations for a collisional system close to Maxwellian equilibrium. Lecture 1 (10:0011:00; Mon 9.10.17) Lectures 23 (16:0018:00; Mon 9.10.17) Lectures 45 (14:0016:00; Tue 10.10.17) Lectures 67 (16:0018:00; Mon 16.10.17) Lectures 89 (16:0018:00; Mon 23.10.17) 
Problem class 1 14:0016:00 on Tue 7.11.17 Homework due 23:59 Sat 4.11.17 to Glenn Wagner (in TP or at Merton) Lecture Notes Paul Dellar's webpage for this part of the course, including lecture notes, problem set, and reading suggestions 

PART II: KINETIC THEORY OF PLASMAS & QUASIPARTICLES 
Lectures 1019 (Tue 24.10.17  Mon
13.11.17) Prof Alexander
Schekochihin Kinetic
description of a plasma: Debye shielding, micro vs. macroscopic
fields, VlasovMaxwell equations. Klimontovich’s version of BBGKY
(nonexaminable). Plasma frequency. Partition of the dynamics into
equilibrium and fluctuations. Linear theory: initialvalue problem for
the VlasovPoisson system, Laplacetranform solution, the dielectric
function, Landau prescription for calculating velocity integrals,
Langmuir waves, Landau damping and kinetic instabilities (driven by
beams, streams and bumps on tail), Weibel instability, sound waves,
their damping, ionacoustic instability, ionLangmuir oscillations.
Energy conservation. Heating. Entropy and free energy. Ballistic
response and phase mixing. Role of collisions; coarsegraining.
Elements of kinetic stability theory. Quasilinear theory: general
scheme. QLT for bumpontail instability in 1D. Introduction to
quasiparticle kinetics.
The main new set of concepts in this part of the course, compared to Part I, is about the behaviour of a system that has not only particles but also fields: how do they exchange energy? how do they interact? 
Problem Set 2: you will
find it in the Lecture Notes Problem class 2 14:0016:00 on Tue 21.11.17 Homework due 23:59 Sun 19.11.17 to Glenn Wagner (in TP or at Merton) The latest version (19.11.17) of the typed notes is available here. Check back for upadtes! Reading: 

Lectures 1011 (14:0016:00; Tue 24.10.17) Kinetic
description of a plasma: Debye shielding, micro vs. macroscopic
fields, VlasovLandauMaxwell equations. Basic properties of the Landau
collision integral. Plasma frequency. Slow equilibrium and fast
fluctuations. Outline of
the hierarchy of approximations: linear, quasilinear, weak turbulence,
strong turbulence. Lecture
Notes sec 1.11.7, 1.9, 2

Klimontovich sec 4, 5, 11 (his version of BBGKY etc.) Helander sec 3 (coll. operator) Helander sec 4 (fluid eqns) Braginskii (ChapmanEnskog for plasma, original derivation) Zakharov et al.; Nazarenko (general scheme of weak turbulence theory) Kadomtsev; Sagdeev & Galeev (from linear to QL to WT for plasma) 

Lecture
12 (10:0011:00; Mon 30.10.17) Linear
theory: initialvalue problem for the VlasovPoisson system,
Laplacetransform solution, the dielectric function, Landau prescription
for calculating velocity integrals. Lecture
Notes sec 3.1, 3.2

Landau's paper
(original derivation) Hazeltine & Waelbroeck sec 6.3, 6.4 Alexandrov et al. sec 2, 4 (all the waves catalogued, with an emphasis on plasma as a dielectric) 

Lectures 1314 (16:0018:00; Mon 30.10.17) Solving the plasma dispersion relation in the slow damping/growth limit. Langmuir waves. Landau damping and
kinetic
instabilities. Sound waves, their damping, ionacoustic instability,
ionLangmuir oscillations. You are ready to do Q13 of the Problem Set (+Q4 if you read the optional sec 5) Lecture
Notes sec 3.33.5, 3.73.10


Lecture 15 (10:0011:00; Mon 6.11.17) Energy
conservation. Heating.
Entropy and free energy. Lecture
Notes sec 4.14.2

Hazeltine & Waelbroeck sec
6.2 (Landau damping and phase mixing without Laplace transforms) 

Lectures 1617 (16:0018:00; Mon 6.11.17) Perturbed distribution function: ballistic
response and phase mixing. Phase
mixing: role of collisions; coarsegraining. Structure of the perturbed
distribution near a resonance: the Casevan Kampen mode. Quasilinear
theory: general scheme. QLT for bumpontail instability in 1D. You are ready to do Q57 of the Problem Set Lecture
Notes sec 4.34.6, 7.17.3


Lecture 18 (10:0011:00; Mon 13.11.17) QLT
for bumpontail instability in 1D cont'd: wave
spectrum and the QL plateau, heating of the thermal bulk. You are ready to do Q89 of the Problem Set Lecture
Notes sec 7.47.6

Krall
& Trivelpiece sec 10 Kadomtsev sec I.3 Sagdeev & Galeev sec II2 (...and read on for more advanced topics) 

Lecture 19 (16:0017:00; Mon 13.11.17) Quasiparticles. Lecture
Notes sec 7.9

Tsytovich sec 3, 5, 7 (on plasmon kinetics and beyond) Peierls's and Ziman's books (on electrons and phonons in metals) 

PART III: KINETIC THEORY OF SELFGRAVITATING SYSTEMS 
Lectures 2028 (Mon
13.11.17  Tue 28.11.17) Prof
James Binney
Unshielded
nature of gravity and implications for selfgravitating systems.
Meanfield approximation with simple examples. Negative specific heat
and impossibility of thermal equilibrium. Relaxation driven by
fluctuations in mean field. Evaporation. Angleaction variables.
Potentialdensity pairs. Longtime response to initial perturbation.
FokkerPlanck equation. Computation of the diffusion coefficients in
terms of resonant interactions. Application to a tepid disc.
Here again there are particles (stars) and fields (gravitational). The key feature is that there are no collisions at all and one must understand the behaviour of a kinetic system that is not close to a Maxwellian equilibrium. Lecture 20 (17:0018:00; Mon 13.11.17) Lecture 21 (10:0011:00; Mon 20.11.17) Lectures 2223 (16:0018:00; Mon 20.11.17) Lecture 24 (10:0011:00; Mon 27.11.17) Lectures 2526 (16:0018:00; Mon 27.11.17) Lectures 2728 (14:0016:00; Tue 28.11.17) 
Problem Set 3: you will
find it in the typed Lecture Notes Problem class 3 14:0016:00 on Tue 5.12.17 Homework due 23:59 on 3.12.17 to Prof Binney (in TP) Lecture Notes 