JD3300 Kinetic Plasma Theory 6.0 credits
Kinetisk plasmateori
With a foundation in particle distribution functions, the course provides the basic theory for equilibrium and dynamics of manyparticle systems. Both kinetic gas theory and kinetic plasma theory are treated. Comparisons with fluid plasma models are made. Fundamental plasma phenomena where kinetic models are essential are studied.
Education cycle
Third cycleMain field of study
Grading scale
P, F
Course offerings
Autumn 18 for programme students

Periods
Autumn 18 P2 (6.0 credits)

Application code
51758
Start date
29/10/2018
End date
14/01/2019
Language of instruction
English
Campus
KTH Campus
Tutoring time
Daytime
Form of study
Normal

Number of places
No limitation
Information for research students about course offerings
The course is given every second year or more frequently when required.
Intended learning outcomes
When completing the course, the student should be able to
 Derive the basic plasma kinetic equation from first principles
 Discuss applications and validity of the Vlasov and Boltzmann equations
 Describe and explain Landau damping and the twostream instability
 Describe basic kinetic properties of hot magnetised plasmas
 Derive and explain the FokkerPlanck equation
 Describe basic relaxation processes and collision times
 Distinguish between fully kinetic, drift kinetic, hybrid and gyrofluid models
Course main content
Liouvilles theorem. BBGKY hierarchy. Vlasov and Boltzmann equations. Plasma dispersion function. Landau damping. The bumpontail instability. Criteria of Nyquist and Penrose. Bernstein modes. The FokkerPlanck equation. Relaxation times. Resistivity. Chapman and Enskog expansions. Driftkinetic model. Gyrokinetic model. Gyrofluid model. VlasovFluid hybrid model. Twostream instability. Inverse Landau damping. Collisionless drift waves. Electron and ion temperature gradient instabilities. Losscone instability.
Disposition
Students and teacher meet for four course sessions. These two hoursessions start with a short introductory lecture by the teacher on the corresponding part of the course. Remaining time is used for discussion on topics that the students bring up. The students should, before each course meeting, study the literature and bring five relevant questions for group discussion.
At the end of the course the student should complete a home assignment in the form of written answers to a set of detailed questions on each part of the course. Having done this satisfactorily, the student should pass an oral exam related to the written assignment.
Eligibility
Master in Electrical Engineering or Engineering Physics or similar.
Recommended prerequisites
Master in Electrical Engineering or Engineering Physics or similar.
Literature
Selected pages from the following books (for details see separate ”Contents” document):
• T. J. M. Boyd and J. J. Sanderson, The Physics of Plasmas, Cambridge University Press, 2007.
• F. Chen, Plasma Physics and Controlled Fusion, Plenum Press, 1985.
• R. O. Dendy, Plasma Dynamics, Clarendon Press, 1994.
• R. J. Goldston and P. H. Rutherford, Introduction to Plasma Physics, IOP Publishing Ltd, 1995.
• P. Helander and D. J. Sigmar, Collisional Transport in Magnetized Plasmas, Cambridge University Press, 2002.
• S. Ichimaru, Statistical Plasma Physics, Volume I: Basic principles, Westview Press, 2004.
• D. G. Swanson, Plasma Kinetic Theory, CRC Press, 2008.
• W. Stacey, Fusion Plasma Physics, Wiley, 2012.
• J. Wesson, Tokamaks, Clarendon Press, Oxford, 1997.
Journal articles on topics not covered in books will be added.
Examination
 EXA1  Examination, 6.0, grading scale: P, F
Requirements for final grade
Participation in group discussions, completion of home assignments and oral exam.
Offered by
EECS/Fusion Plasma Physics
Contact
Jan Scheffel
Examiner
Jan Scheffel <jan.scheffel@ee.kth.se>
Supplementary information
Course main content:
Liouvilles theorem. BBGKY hierarchy. Vlasov and Boltzmann equations. Plasma dispersion function. Landau damping. The bumpontail instability. Criteria of Nyquist and Penrose. Bernstein modes. The FokkerPlanck equation. Relaxation times. Resistivity. Chapman and Enskog expansions. Driftkinetic model. Gyrokinetic model. Gyrofluid model. VlasovFluid hybrid model. Twostream instability. Inverse Landau damping. Collisionless drift waves. Electron and ion temperature gradient instabilities. Losscone instability.
Learning outcomes:
When completing the course, the student should be able to
 Derive the basic plasma kinetic equation from first principles
 Discuss applications and validity of the Vlasov and Boltzmann equations
 Describe and explain Landau damping and the twostream instability
 Describe basic kinetic properties of hot magnetised plasmas
 Derive and explain the FokkerPlanck equation
 Describe basic relaxation processes and collision times
 Distinguish between fully kinetic, drift kinetic, hybrid and gyrofluid models
Version
Course syllabus valid from: Autumn 2018.
Examination information valid from: Spring 2019.