Nonlinear theory of cyclotron resonant wave-particle interactions: Analytical results beyond the quasilinear approximation

Kominis, Y

dc.contributor.author	Kominis, Y	en
dc.date.accessioned	2014-03-01T01:28:52Z
dc.date.available	2014-03-01T01:28:52Z
dc.date.issued	2008	en
dc.identifier.issn	1539-3755	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19008
dc.subject.classification	Physics, Fluids & Plasmas	en
dc.subject.classification	Physics, Mathematical	en
dc.subject.other	Cyclotron resonance	en
dc.subject.other	Distribution functions	en
dc.subject.other	Hamiltonians	en
dc.subject.other	Linear equations	en
dc.subject.other	Nonlinear analysis	en
dc.subject.other	Perturbation techniques	en
dc.subject.other	Nonlinear theory	en
dc.subject.other	Quasilinear diffusion equations	en
dc.subject.other	Elementary particles	en
dc.title	Nonlinear theory of cyclotron resonant wave-particle interactions: Analytical results beyond the quasilinear approximation	en
heal.type	journalArticle	en
heal.identifier.primary	10.1103/PhysRevE.77.016404	en
heal.identifier.secondary	http://dx.doi.org/10.1103/PhysRevE.77.016404	en
heal.identifier.secondary	016404	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	Cyclotron resonant wave-particle interactions are studied in the context of Hamiltonian theory with utilization of Lie transform techniques. The canonical perturbation method for single particle motion is used for providing results for the collective particle behavior under interaction with wave fields of either localized or periodic profiles. Analytical expressions for the calculation of phase-averaged quantities of physical interest as well as the diffusion equation are derived. In the lowest order of perturbation, the method reformulates in a rigorous and unifying context the derivation of well-known results, namely Madey's theorem and quasilinear diffusion equation. Proceeding to higher order the method provides results consisting of fourth-order accurate analytical expressions for the calculation of phase-averaged quantities as well as the derivation of a fourth-order accurate diffusion equation, with higher-order derivatives, which is the extension of the well-known Fokker-Planck equation beyond the quasilinear approximation. Higher-order terms are related to the effect of nonlinear resonant coupling between different spectral components of the waves, on the evolution of the particle distribution function. © 2008 The American Physical Society.	en
heal.publisher	AMER PHYSICAL SOC	en
heal.journalName	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics	en
dc.identifier.doi	10.1103/PhysRevE.77.016404	en
dc.identifier.isi	ISI:000252861600040	en
dc.identifier.volume	77	en
dc.identifier.issue	1	en