Quasilinear theory revisited: General kinetic formulation of wave-particle interactions in plasmas

Hizanidis, K; Kominis, Y; Ram, AK

dc.contributor.author	Hizanidis, K	en
dc.contributor.author	Kominis, Y	en
dc.contributor.author	Ram, AK	en
dc.date.accessioned	2014-03-01T01:34:23Z
dc.date.available	2014-03-01T01:34:23Z
dc.date.issued	2010	en
dc.identifier.issn	0741-3335	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20720
dc.subject.classification	Physics, Fluids & Plasmas	en
dc.subject.classification	Physics, Nuclear	en
dc.subject.other	Action-angle variables	en
dc.subject.other	Collisional relaxation	en
dc.subject.other	Controlling current	en
dc.subject.other	Current drives	en
dc.subject.other	Diffusion equations	en
dc.subject.other	Diffusion operators	en
dc.subject.other	Electrostatic waves	en
dc.subject.other	Fundamental equations	en
dc.subject.other	Fusion devices	en
dc.subject.other	Fusion plasmas	en
dc.subject.other	Heating plasmas	en
dc.subject.other	Master equations	en
dc.subject.other	Particle distribution functions	en
dc.subject.other	Particle dynamics	en
dc.subject.other	Particle motions	en
dc.subject.other	Quasi-linear	en
dc.subject.other	Quasilinear theory	en
dc.subject.other	Radio frequencies	en
dc.subject.other	Time dependent	en
dc.subject.other	Time reversal	en
dc.subject.other	Time-dependent diffusion	en
dc.subject.other	Transport process	en
dc.subject.other	Wave-particle interactions	en
dc.subject.other	Collisional plasmas	en
dc.subject.other	Diffusion	en
dc.subject.other	Distribution functions	en
dc.subject.other	Electromagnetic waves	en
dc.subject.other	Electromagnetism	en
dc.subject.other	Exchange interactions	en
dc.subject.other	Fusion reactors	en
dc.subject.other	Hamiltonians	en
dc.subject.other	Particle interactions	en
dc.subject.other	Wave plasma interactions	en
dc.subject.other	Mathematical operators	en
dc.title	Quasilinear theory revisited: General kinetic formulation of wave-particle interactions in plasmas	en
heal.type	journalArticle	en
heal.identifier.primary	10.1088/0741-3335/52/12/124022	en
heal.identifier.secondary	http://dx.doi.org/10.1088/0741-3335/52/12/124022	en
heal.identifier.secondary	124022	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	In laboratory fusion devices radio frequency electromagnetic waves are routinely used for heating plasmas and for controlling current profiles. The evolution of particle distribution function in the presence of electromagnetic waves is derived from fundamental equations using the action-angle variables of the dynamical Hamiltonian. Unlike conventional quasilinear theories (QLTs), the distribution function is evolved concurrently with the particle motion. Since the particle dynamics is time reversal invariant, the master equation for the evolution of the distribution function is also time reversal invariant. A sequential averaging of the master equation over the angles leads to a hierarchy of diffusion equations. The diffusion operator in the equation obtained after averaging over all angles is time dependent, in direct contrast to time independent diffusion operator in QLTs. The evolution of the distribution function with time-dependent diffusion operator is markedly different from quasilinear evolution and is illustrated for current drive by a spectrum of coherent electrostatic waves. A proper description of wave-particle interactions is important for fusion plasmas since the velocity space gradients of the distribution function decisively affect collisional relaxation and the associated transport processes. © 2010 IOP Publishing Ltd.	en
heal.publisher	IOP PUBLISHING LTD	en
heal.journalName	Plasma Physics and Controlled Fusion	en
dc.identifier.doi	10.1088/0741-3335/52/12/124022	en
dc.identifier.isi	ISI:000286181100023	en
dc.identifier.volume	52	en
dc.identifier.issue	12	en