Collective instabilities and collisional effects for a 2D model of a beam in a storage ring

We consider a collisional 2D model for a beam in a ring. In the smooth focusing approximation the relaxation time scales according to Landau’s theory, but the p.d.f of momentum jumps has a power law decaying queue. A new hybrid regime is found for the equipartitioning due to the interplay between co...

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Detalles Bibliográficos
Autores principales: Benedetti, C, Turchetti, G
Lenguaje:eng
Publicado: CERN 2007
Materias:
Detectors and Experimental Techniques
Acceso en línea:https://dx.doi.org/10.5170/CERN-2007-002.212
http://cds.cern.ch/record/1045228
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author Benedetti, C
Turchetti, G
author_facet Benedetti, C
Turchetti, G
author_sort Benedetti, C
collection CERN
description We consider a collisional 2D model for a beam in a ring. In the smooth focusing approximation the relaxation time scales according to Landau’s theory, but the p.d.f of momentum jumps has a power law decaying queue. A new hybrid regime is found for the equipartitioning due to the interplay between collisional and collective effects. The moments equations of a small perturbation to the KV distribution are analytically determined and the stability conditions follow from Floquet’s theory.
id cern-1045228
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2007
publisher CERN
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spelling cern-10452282019-09-30T06:29:59Zdoi:10.5170/CERN-2007-002.212http://cds.cern.ch/record/1045228engBenedetti, CTurchetti, GCollective instabilities and collisional effects for a 2D model of a beam in a storage ringDetectors and Experimental TechniquesWe consider a collisional 2D model for a beam in a ring. In the smooth focusing approximation the relaxation time scales according to Landau’s theory, but the p.d.f of momentum jumps has a power law decaying queue. A new hybrid regime is found for the equipartitioning due to the interplay between collisional and collective effects. The moments equations of a small perturbation to the KV distribution are analytically determined and the stability conditions follow from Floquet’s theory.CERNoai:cds.cern.ch:10452282007
spellingShingle Detectors and Experimental Techniques
Benedetti, C
Turchetti, G
Collective instabilities and collisional effects for a 2D model of a beam in a storage ring
title Collective instabilities and collisional effects for a 2D model of a beam in a storage ring
title_full Collective instabilities and collisional effects for a 2D model of a beam in a storage ring
title_fullStr Collective instabilities and collisional effects for a 2D model of a beam in a storage ring
title_full_unstemmed Collective instabilities and collisional effects for a 2D model of a beam in a storage ring
title_short Collective instabilities and collisional effects for a 2D model of a beam in a storage ring
title_sort collective instabilities and collisional effects for a 2d model of a beam in a storage ring
topic Detectors and Experimental Techniques
url https://dx.doi.org/10.5170/CERN-2007-002.212
http://cds.cern.ch/record/1045228
work_keys_str_mv AT benedettic collectiveinstabilitiesandcollisionaleffectsfora2dmodelofabeaminastoragering
AT turchettig collectiveinstabilitiesandcollisionaleffectsfora2dmodelofabeaminastoragering

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