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Peeters, A. G.*; Angioni, C.*; Bortolon, A.*; Camenen, Y.*; Casson, F. J.*; Duval, B.*; Fiederspiel, L.*; Hornsby, W. A.*; Idomura, Yasuhiro; Hein, T.*; et al.
Nuclear Fusion, 51(9), p.094027_1 - 094027_13, 2011/09
Times Cited Count：102 Percentile：97.23(Physics, Fluids & Plasmas)Peeters, A. G.*; Angioni, C.*; Bortolon, A.*; Camenen, Y.*; Casson, F. J.*; Dubal, B.*; Fiederspiel, L.*; Hornsby, W. A.*; Idomura, Yasuhiro; Kluy, N.*; et al.
Proceedings of 23rd IAEA Fusion Energy Conference (FEC 2010) (CD-ROM), 13 Pages, 2011/03
B flowMiyato, Naoaki; Scott, B. D.*; Strintzi, D.*; Tokuda, Shinji
Journal of the Physical Society of Japan, 78(10), p.104501_1 - 104501_13, 2009/10
Times Cited Count：28 Percentile：77.12(Physics, Multidisciplinary)A modified guiding-centre fundamental 1-form with strong 
flow is derived by the phase space Lagrangian Lie perturabtion method. Since the symplectic part of the derived 1-form is the same as the standard one without the strong flow, it yields the standard Lagrange and Poisson brackets. Therefore the guiding-centre Hamilton equations keep their general form even when temporal evolution of the flow is allowed. Compensation of keeping the standard symplectic structure is paid by complication of the guiding-centre Hamiltonian. However it is possible to simplify the Hamiltonian in well localised transport barrier regions like a tokamak H-mode edge and an internal transport barrier in a reversed shear tokamak. The guiding-centre Vlasov and Poisson equations are derived from the variational principle. The conserved energy of the system is obtained from the Noether's theorem.
B flowMiyato, Naoaki; Scott, B. D.*; Strintzi, D.*; Tokuda, Shinji
no journal, ,
A guiding-centre fundamental 1-form whose symplectic part does not include the EB 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 EB 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.
B flowMiyato, Naoaki; Scott, B. D.*; Strintzi, D.*; Tokuda, Shinji
no journal, ,
We derive a modified guiding-centre fundamental 1-form with strong EB flow whose symplectic part does not include the flow term or time dependence. Since the symplectic part of the derived 1-form is the same as the standard one without the strong flow formally, it yields the standard Lagrange and Poisson brackets. Therefore the guiding-centre Hamilton equations keep their general form even when temporal evolution of the EB flow is allowed. On the other hand, the guiding-centre Hamiltonian is more complicated than the conventional one. However it is possible to simplify the Hamiltonian in well localised transport barrier regions like the tokamak H-mode edge and internal transport barriers in reversed shear tokamaks. The guiding-centre Vlasov and Poisson equations are derived from the variational principle. The conserved energy of the system is obtained by the Noether's method.
B flowMiyato, Naoaki; Scott, B. D.*; Strintzi, D.*; Tokuda, Shinji
no journal, ,
A guiding-centre fundamental 1-form with strong EB flow for a single charged particle is derived by the Lie transform perturbation analysis. The symplectic part of the 1-form does not include the EB term which is included in the symplectic part in the previous formulations. As a result, it is the same as the standard one without the strong flow formally and gives the standard Hamilton equations even when time evolution of the EB flow is allowed. Although the guiding-centre Hamiltonian is more complicated than the previous ones, it can be simplified in well localised transport barrier regions such as a tokamak H-mode edge where the strong EB flow is observed. Based on the derived 1-form, a total Lagrangian including both contributions from particles and fields is constructed. The guiding-centre Vlasov and Poisson equations are derived from the variational principle. The conserved energy of the system is obtained from the Lagrangian by the Noether method.
