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Author(s):
J. Todoroki
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Title:
Theory of Longitudinal Adiabatic Invariant in the Helical Torus
Date of publication:
Aug. 1990
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Key words:
adiabatic invariant, distribution function, Hamiltonian formalism, helical torus, transition
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Abstract:
The theory on the longitudinal adiabatic invariant valid for the helical magnetic field is developed on the basis of the variable Transformation from the guiding center variables to the new adiabatic variables. The theory uses the Hamiltonian formalism with non canonical variables . Under the assumption that the rotational transform per period is small, the adiabatic invariant is defined by integral along the toroidal direction, not along the field line. The transition between the passing and the ripple trapped states is investigated; the jump of adiabatic invariant and other variables in the transition process is evaluated. The change of distribution function in the variable transformation is also discussed.
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