Numerical solution of equilibrium equation

• We have found 2-D equilibria on elliptical (b/a=?3) magnetic surfaces and uniform finite temperature.

  • Ellipticity is usually the dominant symmetry breaking term in a stellarator near the magnetic axis

• When |e?/Te| <ə (large Debye length), sD??D since ne?N(?)

• When |e?/Te| >ɭ (high density, low Te), sD<<<?D

• Three things are specified to determine the equilibrium:

  • s(?)
  • plasma size: a/sD
  • boundary conditions (specified indirectly through image charges)

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