COLLISIONAL PLASMA PHYSICS

Oxford Master Course in Mathematical and Theoretical Physics
("MMathPhys")
&
Centre for Postgraduate Training in Plasma Physics and High Energy Density Science


  Lecturer: Felix I. Parra
Teaching Assistant: Plamen Ivanov

This is an MMathPhys course which we expect to be of interest to graduate students specialising in the physics (or applied mathematics) of gases and plasmas, and astrophysics.

Trinity Term 2019
LECTURES
Fisher Room (Denys Wilkinson Building)
Mondays 14:00-16:00 weekly
Tue 30 April and Tue 7 May 16:30-17:30

CLASSES

Time and place TBD

Course materials, reading suggestions, scheduling notices,
problem sets to appear below shortly.

Syllabus currently given below is subject to revision.

Any feedback is welcome!


FOKKER-PLANCK
COLLISION OPERATOR
Lecture I (Mon 29-April-19) Boltzmann collision operator. Coulomb collisions.

Lecture II (Tue 30-April-19) Fokker-Planck collision operator.

Lecture III (Mon 6-May-19) Conservation properties and H-theorem of the Fokker-Planck collision operator. Electron-ion collisions.

Lecture IV (Tue 7-May-19) Effect on ions of electron-ion collisions. Linearized collision operator.

Lecture V (Mon 13-May-19) Properties of the linearized collision operator. Spitzer-Harm problem.

Notes about the Fokker-Planck collision operator
1. Fokker-Planck collision operator
2. Collisions between electrons and ions
3. The linearized Fokker-Planck collision operator and the Spitzer-Harm problem
BRAGINSKII EQUATIONS
Lecture VI (Mon 20-May-19) Derivation of plasma fluid equations.

Lecture VII (Mon 27-May-19) Derivation of Braginskii closure for electrons.

Notes about Braginskii equations
Braginskii fluid equations
RESISTIVE MHD
Lecture VIII (Mon 3-June-19) Braginskii closure for ions. MHD and resistive MHD.

Lecture IX (Mon 10-June-19) Resistive tearing modes.

Notes about resistive MHD
Resistive MHD, reconnection and resistive tearing modes
TOKAMAK PHYSICS
Lecture X (Mon 17-June-19) Introduction to tokamaks. Pfirsch-Schlueter transport for electrons.

Notes about tokamak physics
Tokamak physics: Pfirsch-Schlueter regime
PROBLEM SETS
Problem Set I (Due Tue 28-May-19)
Problem Set II (Due Tue 11-June-19)

BOOKS

  1. P. Helander & D. J. Sigmar, Collisional Transport in Magnetized Plasmas (Cambridge University Press 2002) (Amazon)
  2. R. D. Hazeltine & F. L. Waelbroeck, The Framework of Plasma Physics (Westview Press 2004) (Amazon)
  3. R. D. Hazeltine & J. D. Meiss, Plasma Confinement (Dover Publications 2003) (Amazon)
  4. R. Fitzpatrick, Plasma Physics: An Introduction (CRC Press 2014) (Amazon)
  5. R. J. Goldston & P. H. Rutherford, Introduction to Plasma Physics (CRC Press 1995) (Amazon)