ED3330 Transport Theory 8.0 credits


The course should provide a theoretical basis for classical, neo-classical and anomalous transport in major fusion devices as well as an understanding for the theory of plasma transport and current drive in tokamaks. Canonical profiles and other applications in space and finances are also discussed.

  • Education cycle

    Third cycle
  • Main field of study

  • Grading scale

    P, F

Information for research students about course offerings

The course is given when there is sufficient demand. Please contact the examiner if you are interested in taking the course.

Intended learning outcomes

When completing the course, the student should be able to

  • Provide the details of the derivation of Pfirch – Schlueter current and flows.
  • Describe and explain the origin of plasma rotation in tokamaks and RFP.
  • Demonstrate the basic properties of suppression of turbulence by electric field shear
  • Give the derivation of the current drive and neoclassical flows.
  • Assess profile consistency and ergodization by external coils
  • Derive the neoclassical poloidal and toroidal rotation
  • Apply the variational principle to the derivation of canonical profiles
  • Demonstrate understanding of the emergence of transport barriers and improved confinement
  • Discuss major issues of edge physics in ITER such as blobs and divertor operation

Course main content

Braginski equations for cylindrical geometry. Neutral particle transport. The impact of the toroidicity on the transport in tokamaks. Rotation of plasma in tokamaks. L & H regimes of the tokamak confinement. Electric field profiles in tokamaks. Edge turbulence. Inverse cascade and zonal flows. Biasing resulting in the improved confinement regimes. Electrostatic drift waves and the mixing-length estimate. The reason for the emergence of stochasticity in fusion devices. Anomalous diffusion. Rechester-Rosenbluth diffusion.  The amelioration of ELM ´s by resonance magnetic perturbations.


Discussion meetings. Studies in depth of topical monographies and review articles.


Master in Nuclear Fusion Research or Equivalent

Recommended prerequisites

Master in Nuclear Fusion Research or Equivalent


Helander & Sigmar Neoclassical Transport
Rozhansky & Tendler Plasma Rotation in Tokamaks Reviews of Plasma Physics V. 19 ed. B.B. Kadomtsev, New York & London p.147.


  • EXA1 - Examination, 8.0, grading scale: P, F

Requirements for final grade

Final oral exam.

Offered by

EECS/Fusion Plasma Physics


Michael Tendler


Michael Tendler <mtendler@kth.se>


Course syllabus valid from: Spring 2012.
Examination information valid from: Spring 2019.