Stability boundary and diffusion in 2D maps describing a magnetic lattice

Bazzani, A; Servizi, G; Turchetti, G; Hizanidis, K; Polymilis, C

dc.contributor.author	Bazzani, A	en
dc.contributor.author	Servizi, G	en
dc.contributor.author	Turchetti, G	en
dc.contributor.author	Hizanidis, K	en
dc.contributor.author	Polymilis, C	en
dc.date.accessioned	2014-03-01T01:12:17Z
dc.date.available	2014-03-01T01:12:17Z
dc.date.issued	1996	en
dc.identifier.issn	0369-3554	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12053
dc.subject	Diffusion Process	en
dc.subject.classification	Physics, Multidisciplinary	en
dc.title	Stability boundary and diffusion in 2D maps describing a magnetic lattice	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF02742510	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF02742510	en
heal.language	English	en
heal.publicationDate	1996	en
heal.abstract	We consider the non-linear map describing the basic cell of a circular accelerator. The dependence of the stability basin on the non-linearity is investigated by considering increasing multipolar orders. A model for the diffusion induced by a periodic ripple is derived; for a quadratic non-linearity it is the Hénon map with a modulated linear frequency. For slow modulation the diffusion process is conveniently described by the adiabatic theory, which gives a diffusion time proportional to the cube of the modulation period. Unlike the case of noise modulation, the diffusion takes place in the bounded region, near a resonance, swept by the separatrices.	en
heal.publisher	EDITRICE COMPOSITORI BOLOGNA	en
heal.journalName	Nuovo Cimento della Societa Italiana di Fisica B	en
dc.identifier.doi	10.1007/BF02742510	en
dc.identifier.isi	ISI:A1996VX33000005	en
dc.identifier.volume	111	en
dc.identifier.issue	11	en
dc.identifier.spage	1369	en
dc.identifier.epage	1384	en