 |
|
PLASMA PHYSICS STUDY GROUP en lieu of postgraduate course Tutors: Ian Abel, Steve Cowley, Anthony Field, Edmund Highcock, Jon Hillesheim, Felix Parra, Alex Schekochihin, J. B. Taylor ... Students: Justin Ball, Greg Colyer, Michael Fox, Joseph Parker, Ferdinand van Wyk ... |
| Wk | Date |
Time & place |
Topics |
Reading |
| Tue 25 Sept |
11:30am ThPhys 2.2 |
1)
Orbit theory (IGA) 2) MHD equations, flux freezing, conservation laws (AAS) |
1) Helander & Sigmar Ch 6 Cowley-222a L3-7 (and L3-6 of 2003) [closest to Hazeltine & Waelbroek Ch 2] 2) AAS Part III notes: L05-sec 1,3-4, M05-sec 9 |
|
| Tue 2 Oct |
4:00pm ThPhys 2.2 |
1)
Recap of last week's topics 2) What makes plasma a plasma (Debye screening, plasma parameter etc.) (IGA) 3) Lagrangian MHD (marginally needed for waves, but will be useful later on), MHD waves (AAS) |
2) Intro to any plasma book Cowley-222a L1 (both versions) 3) AAS Part III notes: L05-sec 10, M05-sec 11 |
|
| I |
Tue 9 Oct |
11:00am ThPhys 2.2 |
1)
Recap of last week's topics 2) Vlasov-Landau kinetics (with collisions) (IGA) 3) Reduced MHD (AAS) 4) Intro to programming (EGH) |
2) Helander-sec 2.1, 3.1 Kulsrud-sec 8.1-8.5 Landau-sec 1-4, 41 3) AAS Part III notes: M05-sec 14 M05-ESIII: Q1, Q2, Q3 AAS's Tome-sec 2 |
| II |
Tue 16 Oct |
11:00am ThPhys 2.2 |
1)
Recap of last week's topics, especially RMHD (IGA) 2) Intro to programming cont'd (EGH) |
|
| Tue 23 Oct | 3:00pm ThPhys 2.2 |
Gyrokinetics
in a non-rotating homogeneous slab (IGA) |
IGA's Tome-sec 1-7 (ignore 3.2,3.3,4,6.3,7.1-3) NB: let u=0 and B, n, T=const Having done this, read AAS's Tome-sec 3.1-3.3 Howes-sec 2.1,2.3,2.4 (+Ap. A) you should find nothing new! |
|
| IV |
Tue 30 Oct |
11:00am ThPhys 2.2 |
1) Recap of last week's topic 2) Landau damping, Langmuir waves and bump-on-tail instabilities (AAS) |
2) AAS
notes (from Imperial PG course) Landau's paper |
| V |
Tue 6 Nov |
11:00am ThPhys 2.2 |
1)
Limiting cases of GK (AAS) 2) Waves and Landau damping in GK (AAS) (specific task: derive Barnes damping both from general GK dispersion relation and from KRMHD) |
1) AAS's Tome-sec
1.5,1.6, 4.1-4.6,4.8,5.1-5.5,6.1,6.2.1, 7.1-7.3,7.7 2) Howes-sec 2.6 (+Ap. C&D) AAS's Tome-sec 6.2.2 |
| VI |
Tue 13 Nov |
11:00am ThPhys 2.2 |
1)
Recap of last week's topics 2) MHD equilibria, Grad-Shafranov Equation (AAS) 3) Magnetic field in a torus (IGA) |
2) AAS
Part III notes: L05-sec 7-9 (also M05-sec 10) L05-ES1: Q9, Q10 Steve's lecture on tokamak equilibria |
| Fri 16 Nov |
TBA Culham |
Experimental
Plasma Physics Study Group Meeting (ARF): CXRS |
Hutchinson sec 8.3,8.4 PRA 35, 3454 (1987) RSI 77, 10F131 (2006) |
|
| VII |
Tue 20 Nov |
11:00am ThPhys 2.2 |
1)
Magnetic field in a torus (IGA) 2) Neoclassical kinetics (IGA) |
1) IGA's Tome-sec
3.2,4,6,7.2-7.3 (no longer assume u=0 and B, n, T=const!) 2) IGA's Tome-sec 7.1 |
| Fri 23 Nov |
TBA Culham |
Experimental
Plasma Physics Study Group Meeting (ARF): 1) MSE 2) ZEBRA (Ash Patel) 3) RGBCAM, spectroscopy, LINCAM (D-alpha influx) |
1) RSI 79,
10F524 (2008) RSI 81, 10D738 (2010) 2) RSI 75, 4944 (2004) 3) RSI 75, 4145 (2004) |
|
| VIII |
Tue 27 Nov |
11:00am ThPhys 2.2 |
Gyrokinetics
in a torus (IGA) |
IGA's Tome-sec 5,7.4-7.5 (now in full generality) |
| 9 |
Tue 4 Dec |
11:00am ThPhys 2.2 |
Gyrokinetics
in a torus --- recap/Q&A (IGA) |
|
| Fri 14 Dec |
TBA Culham |
Experimental
Plasma Physics Study Group Meeting (ARF): TS (Rory Scannell) |
Hutchinson sec 7.1, 7.2 MAST: RSI 79, 10E730 (2008) RSI 81, 10D520 (2010) PPCF 52 124041 (2010) ITER: RSI 79, 10E727 (2008) |
| Wk | Date |
Time & place |
Topics |
Reading |
| 0 |
Tue 8 Jan |
11:00am ThPhys 2.2 |
ITG/PVG
instabilities: 1) Fluid equations in a slab, no shear ---> long-wavelength ITG 2) ITG in a slab from GK; recover long-wavelegth result 3) PVG in a slab, no shear |
1) Steve's
lecture on plasma turbulence PFB 3, 2767 (1991) (physics of ITG) PPCF 52, 125001 (2010) (fluid ITG/PVG with magnetic shear) 2-3) PPCF 54, 055011 (2012) (see App B) |
| I |
Tue 15
Jan |
11:00am ThPhys 2.2 |
ITG/PVG
instabilities: 1-3) Finish last week's programme 4) Curvature-driven ITG (exercise: curvature + PVG --- what happens?) 5) Effect of velocity shear, in a slab, no mag. shear 6) Effect of mag. shear, in a slab, no velocity shear 7) Velocity + mag. shear, in a slab |
4) Greg
Hammett's Winter School-09 lecture 5) PPCF 54, 055011 (2012) 6) PFB 3, 2767 (1991) 7) PPCF 52, 125001 (2010) |
| II |
Tue 22 Jan |
11:00am ThPhys 2.2 |
1)
Continue working on last week's ITG-PVG programme, especially 4)-5) 2) Landau collision operator (IGA) 3) H-theorem (IGA & AAS) 4) Model and GK collision operators (IGA) |
2-3) Helander 3.1, 3.7-8; Ch 3 questions 3) IGA's Tome-sec 10.2 This is cool (but optional): Am. J. Phys. 33, 391 (1965) 4) PoP 15, 122509 (2008) (sec I-III, Ap B) Optional: PoP 1, 3211 (1994) |
| III |
Tue 29
Jan |
11:00am ThPhys 2.2 |
Braginskii
theory of collisional transport (IGA) |
Goedbloed and Poedts 3.1-3.3.2 Helander Ch 4 Braginskii's paper |
| IV |
Tue Feb 5 |
11:00am ThPhys 2.2 |
1)
Neoclassical distributions functions & evolution of magnetic field
--- recap (IGA) 2) Transport equations in GK (IGA) |
1) IGA's Tome-sec 7.1-7.3 (look at App B) 2) IGA's Tome-sec 8 (work through 8.1-8.2, incl. App C.1, C.3) |
| V |
Tue Feb 12 |
11:00am ThPhys 2.2 |
1)
Continuation of last week's material 2) Energy flows in GK (IGA) |
2) IGA's Tome-sec 9 |
| VI |
Thu 21 Feb | 4:15pm ThPhys 2.2 |
1)
Turbulence: K41 & mixing (AAS) 2) MHD turbulence & critical balance (AAS) |
1) AAS
notes, Sec 1-2 2) AAS review, Sec 2 JFM 677, 134 (2011) and refs therein (or ask Alfred!) |
| VII |
Tue 26
Feb |
11:00am ThPhys 2.2 |
1)
Critically balanced ITG turbulence (AAS) 2) Free energy cascade (AAS) 3) Energy and entropy flows in GK (cont'd) (AAS) 4) Kinetic MHD (AAS) --- optional, time permitting |
1) Theory: PRL 107,
115003 (2011) Experiment: arXiv:1208.5970 2) PPCF 50, 124024 (2008) 3) IGA's Tome-sec 9, 10 4) AAS notes, Sec 1 |
| VIII |
Tue 5 Mar |
11:00am ThPhys 2.2 |
1)
Miller equilibria (EGH) 2) Magnetic geometry in GK simulations (EGH) 3) CHEASE (EGH) |
1) PoP 5, 973
(1998) 2) EGH's thesis arXiv:1207.4419 (Chapter 3) 3) Comp. Phys. Comm. 97, 219 (1996) |
| Wk | Date |
Time & place |
Topics |
Reading |
| 9 |
Thu 20 June |
11:00am 2.2 TP |
Plasma
waves: unmagnetised (IGA) |
Standard textbook material (e.g., books by Stix or Swanson) |
| Thu 27 June |
11:00am 2.2 TP |
Plasma waves: unmagnetised cont'd, cold (IGA) | See above | |
| Tue 2 July |
11:00am 2.2 TP |
Plasma waves: cold cont'd (IGA) |
See above | |
| Wed 24 July |
11:00am 2.2 TP |
1)
Plasma waves: magnetised hot (IGA) 2) KAW-IBW conversion and cyclotron resonance (AAS) |
1) See above 2) arXiv:0707.3147 (read Appendix A) |
|
| Tue 6 Aug |
11:00am 2.2 TP |
Kinetic
MHD and CGL equations (AAS) |
1) SWIFF
Notes, Sec 1 (do the exercise at the end) 2) historic classics: two Kulsrud reviews and the CGL paper posted here 3) Heseltine & Waelbroek has a section on KMHD |
|
| Tue 13 Aug |
11:00am 2.2 TP |
1)
CGL equations reviewed (AAS) 2) Firehose and mirror instabilities (AAS) 3) Exercise: Kinetic RMHD from KMHD (AAS) 4) Exercise: RMHD from Barginskii (AAS) |
2) SWIFF
Notes, Sec 2 3) PPCF 49, A195 (2007) (from GK: see Tome sec 5) 4) Tome App A |
|
| Tue 20 Aug |
11:00am 2.2 TP |
Lagrangian MHD, action principle for MHD (AAS) |
1) AAS
Part III notes: L05-sec 10 2) W. A. Newcomb, Nucl. Fusion: 1962 Supplement, Part 2, p. 451 |
|
| Tue 27 Aug |
11:00am 2.2 TP |
Energy principle for MHD (AAS) |
1) AAS
Part III notes: L05-sec 11 2) Proc Roy Soc A 244, 17 (1958) |
|
| Tue 10 Sept |
11:00am 2.2 TP |
MHD instabilities using the energy principle (AAS) 1) Sausage & kink 2) Stability of theta pinch 3) Interchange |
AAS
Part III notes: 1) L05-sec 12 Sturrock Sec 15 2) L05 Exam, Q2 3) L05, Ex. Sheet 2, Q1 Kulsrud Sec 7.3 |
|
| Tue 24 Sept |
1:30pm Grove 1.8 Merton |
Buoyancy/interchange instabilities: physical mechanism (AAS) | Kulsrud Sec 7.3.1 Explore astro texts |
|
| Tue 1 Oct |
1:00pm 2.2 TP |
Parker instability (AAS) |
Kulsrud Sec 7.3.2 Parker's paper: ApJ 145, 811 (1966) |
| Wk | Date |
Time & place |
Topics |
Reading |
| II |
Tue 22 Oct |
11:00am 2.2 TP |
Interchange without gravity in a magnetised cylinder (AAS) | Kulsrud Sec 7.3.3 ++search the literature! (Freidberg etc.) |
| III |
Tue 29 Oct |
11:00am 2.2 TP |
Interchange without gravity in a magnetisied cylinder --- cont'd (AAS) |
|
| IV |
Tue 5 Nov |
11:00am 2.2 TP |
1)
Interchange without gravity in a magnetised cylinder --- finish! (AAS) 2) Felix's list of topics for the transfer exam |
2) Viva-2013 topics |
| V |
Tue 12 Nov |
11:00am 2.2 TP |
Ballooning mode in a periodic-mirror equilibrium ("bumpy torus") (AAS) |
Freidberg-MHD, Sec 10.4 |
| VI |
Tue 19 Nov |
11:00am 2.2 TP |
Ballooning mode cont'd (JBT) |
JBT's notes (Sec 18-21) |
| VII |
Fri 29 Nov |
Culham |
Plasma Diagnostics Study Group SXR Measurements (ARF) |
Anthony's Reading List |
| VIII |
Fri 6 Dec |
11:00am Culham K1/0.34a |
Plasma Diagnostics Study Group Reflectometry (JH) |
Jon's Reading List |
| 9 |
Tue 10 Dec |
11:00am 2.2 TP |
Tearing mode (AAS) |
AAS
Part III notes: 1) L05-sec 16 2) Ex. Sheet 2, Q4 (do it before looking at the solution!) 3) Without const-psi approximation: Nuno Loureiro's thesis has a nice exposition of this |
| Sweet-Parker theory of reconnection (AAS) |
AAS
Part III notes: 1) L05-sec 15 2) Ex. Sheet 2, Q3 (do it before looking at the solution!) |
|||
| 1) Plasmoid instability (AAS) 2) Plasmoid reconnection (AAS) |
1) PoP 14, 100703 (2007) PRE 87, 013102 (2013) 2) PRL 105, 235002 (2010) PRL 111, 025002 (2013) (and refs therein!) |
|||
| Collisionless tearing mode (AAS) |
App B3, 4, 5 of PoP 18, 102309 (2011) |
|||
| Coming up: Neoclassical theory (FIP) Ballooning theory (SCC) |