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
2016 LECTURES Room L4 (A. Wiles Building) Monday 10:0011:00 (week 1) Fisher Room (DWB) Mondays 10:0011:00 (weeks 48); 16:0018:00 (weeks 18) & Tuesdays 14:0015:00 (weeks 1 & 3), 14:0016:00 (week 8) CLASSES Fisher Room (DWB) Tuesdays 14:0016:00 (weeks 4, 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
18 (Mon
10.10.16  Mon 24.10.16) 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 collision operator. 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 10.10.16) in L4, A. Wiles Building! Lectures 23 (16:0018:00; Mon 10.10.16) in Fisher Room! Lecture 4 (14:0015:00; Tue 11.10.16) Lectures 56 (16:0018:00; Mon 17.10.16) Lectures 78 (16:0018:00; Mon 24.10.16) 
Problem class 1 14:0016:00 on Tue 1.11.15 Homework due 23:59 Sun 30.10.16 to Dr Vasiliev (in TP) 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 
Lectures 917 (Tue 25.10.16  Mon
14.11.16) 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 (“bump 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. Quasilinear theory: general scheme. QLT for
bumpontail instability in 1D.
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 typed Lecture Notes Problem class 2 14:0016:00 on Tue 22.11.16 Homework due 23:59 Sun 20.11.16 to Dr Vasiliev The latest version (15.11.16) of the typed notes is available here. Check back for upadtes! Reading: 

Lecture 9 (14:0015:00; Tue 25.10.16) Kinetic
description of a plasma: Debye shielding, micro vs. macroscopic
fields, VlasovLandauMaxwell equations. Lecture Notes sec 1.11.6

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
10 (10:0011:00; Mon 31.10.16)
VlasovLandauMaxwell equations cont'd. Basic properties of the Landau
collision integral. Plasma frequency. Slow equilibrium and fast fluctuations. Lecture Notes sec 1.7, 1.9, 2.12.3


Lectures 1112 (16:0018:00; Mon 31.10.16) Slow equilibrium and fast fluctuations cont'd. Outline of
the hierarchy of approximations: linear, quasilinear, weak turbulence,
strong turbulence. 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. Lecture Notes sec 2.3, 2.4, 3.13.5

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) Krall & Trivelpiece sec 9 (kinetic stability theory) 

Lecture 13 (10:0011:00; Mon 7.11.16) Linear
theory completed: sound waves, their damping, ionacoustic instability,
ionLangmuir oscillations. You are ready to do Q13 of the Problem Set Lecture Notes sec 3.73.10


Lectures 1415 (16:0018:00; Mon 7.11.16) Energy
conservation. Heating.
Entropy and free energy. 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. You are ready to do Q46 of the Problem Set Lecture Notes sec 5.15.6

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

Lecture 16 (10:0011:00; Mon 14.11.16) Quasilinear
theory: general scheme. QLT for bumpontail instability in 1D. Lecture Notes sec 6.16.5

Krall & Trivelpiece sec 10 Kadomtsev sec I.3 Sagdeev & Galeev sec II2 (...and read on for more advanced topics) Tsytovich sec 3, 5, 7 (on plasmon kinetics and beyond) 

Lecture 17 (16:0017:00; Mon 14.11.16) QLT
for bumpontail instability in 1D cont'd: : wave
spectrum and the QL plateau, heating of the thermal bulk. Kinetics of plasmons. You are ready to do Q78 of the Problem Set Lecture Notes sec 6.66.7


PART III: KINETIC THEORY OF SELFGRAVITATING SYSTEMS 
Lectures 1826 (Mon
14.11.16  Tue 29.11.16) Prof
James Binney
Meanfield
models and their evolution exemplified by star clusters. Isothermal
sphere, escape velocity, evaporation. Virial theorem, negative specific
heat, gravothermal catastrophe. Heggie's theorem, binaries as a heat
source. Angleaction coordinates, Jeans' theorem. Equation for slow
evolution of meanfield distribution function: computation of cross
correlations of fluctuating quantities (nonexaminable). Enhanced
diffusion along resonances. Application to stellar discs: particle
dressing and swing amplification making Poisson noise anomalously
large. Ultimate destabilisation of disc at collisionless level.
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 bejaviour of a kinetic system that is not close to a Maxwellian equilibrium. Lecture 18 (17:0018:00; Mon 14.11.16) Dr Eugene Vasiliev Lecture 19 (10:0011:00; Mon 21.11.16) Dr Eugene Vasiliev Lectures 2021 (16:0018:00; Mon 21.11.16) Dr Eugene Vasiliev Lecture 22 (10:0011:00; Mon 28.11.16) Prof James Binney Lectures 2324 (16:0018:00; Mon 28.11.16) Prof James Binney Lectures 2526 (14:0016:00; Tue 29.11.16) Prof James Binney 
Problem Set 3: you will
find it in the typed Lecture Notes Problem class 3 14:0016:00 on Tue 6.12.16 Homework due 23:49 on 4.12.16 to Prof Binney Lecture Notes 