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A Guiding-centre fundamental 1-form with strong E$$times$$B flow

Miyato, Naoaki; Scott, B. D.*; Strintzi, D.*; Tokuda, Shinji

A guiding-centre fundamental 1-form whose symplectic part does not include the E$$times$$B term is derived by the Lie-transform perturbation method. Since the symplectic part of the derived 1-form is the same as the standard one without the strong E$$times$$B flow formally, it yields the standard Lagrange and Poisson brackets. Therefore the guiding-centre Hamilton equations also keep the standard form. The guiding-centre Hamiltonian is rather complicated compared to the previous ones. However, it is possible to simplify the Hamiltonian in localised transport barrier region like the tokamak H-mode edge.



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