A Modification of the Guiding-Centre Fundamental 1-Form with Strong E x B Flow

Miyato, N; Scott, BD; Strintzi, D; Tokuda, S

dc.contributor.author	Miyato, N	en
dc.contributor.author	Scott, BD	en
dc.contributor.author	Strintzi, D	en
dc.contributor.author	Tokuda, S	en
dc.date.accessioned	2014-03-01T01:29:34Z
dc.date.available	2014-03-01T01:29:34Z
dc.date.issued	2009	en
dc.identifier.issn	0031-9015	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19313
dc.subject	fundamental 1-form	en
dc.subject	symplectic structure	en
dc.subject	Lie perturbation method	en
dc.subject	field theory	en
dc.subject	Noether's theorem	en
dc.subject	transport barrier	en
dc.subject	flow	en
dc.subject.classification	Physics, Multidisciplinary	en
dc.subject.other	NONLINEAR GYROKINETIC THEORY	en
dc.subject.other	H-MODE	en
dc.subject.other	GYROFLUID TURBULENCE	en
dc.subject.other	EQUATIONS	en
dc.subject.other	TRANSPORT	en
dc.subject.other	TOKAMAKS	en
dc.subject.other	FIELD	en
dc.subject.other	PLASMAS	en
dc.subject.other	WAVES	en
dc.title	A Modification of the Guiding-Centre Fundamental 1-Form with Strong E x B Flow	en
heal.type	journalArticle	en
heal.identifier.primary	10.1143/JPSJ.78.104501	en
heal.identifier.secondary	http://dx.doi.org/10.1143/JPSJ.78.104501	en
heal.identifier.secondary	104501	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	A modified guiding-centre fundamental 1-form with strong E x B flow is derived by the phase space Lagrangian Lie perturbation method. Since the symplectic part of the derived 1-form is the same as the standard one without the strong E x B 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 E x B 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 edge in a high confinement regime 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. Correspondence to low-frequency fluid equations is shown.	en
heal.publisher	PHYSICAL SOC JAPAN	en
heal.journalName	JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN	en
dc.identifier.doi	10.1143/JPSJ.78.104501	en
dc.identifier.isi	ISI:000271208500015	en
dc.identifier.volume	78	en
dc.identifier.issue	10	en