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This paper discusses some general aspects of Marfe formation and bifurcation of temperature in stellarators. The starting point is the three-dimensional heat conduction equation with a conduction matrix depending on temperature and position. The existance, uniqueness and stability of steady state solutions are discussed. Marfes in stellarators predominantly exist on rational magnetic surfaces if the shear is low. Outside the last magnetic surface bifurcation of temperature can arize on flux bundles between two divertor target plates. The number of solutions depends on the non-linearity of the boundary conditions and the details of the radiation function, especially its dependance on the temperature. Numerical solutions of the one-dimensional heat conduction equation in a slab and a cylindrical fusion plasma, using the shooting method, illustrate the various aspects of bifurcation.

Additional information

Authors: SUNDER D, Max-Planck-Institut fur Plasmaphysik (DE);WOBIG H, Max-Planck-Institut fur Plasmaphysik (DE)
Bibliographic Reference: Article: Bifurcation of Temperature In 3-D Plasma Equilibria, 1998, 1-32
Record Number: 199910429 / Last updated on: 1999-03-19
Original language: en
Available languages: en