Collective instabilities and collisional effects for space charge dominated beams

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Title: Collective instabilities and collisional effects for space charge dominated beams
Authors: Benedetti, C. benedetti@bo.infn.it, Turchetti, G.1
Source: Nuclear Instruments & Methods in Physics Research Section A. Jul2007, Vol. 577 Issue 1/2, p133-138. 6p.
Subjects: Space charge, Resonance, Mathematical statistics, Spectral energy distribution
Abstract: Abstract: This paper is organized into two parts. In the first one we analyze the equipartitioning process in the presence of collisions for a Gaussian anisotropic beam. Far from instabilities the equipartition process can be described correctly by using Landau''s collisional theory, whereas when the dynamics of the system is strongly nonlinear (e.g. in the vicinity of a resonance) a hybrid dynamical–collisional equipartition mechanism occurs. In the second part of the paper we discuss shortly a systematic study of the collective instabilities in a symmetric periodic focusing channel for a KV beam by using the moments method. We emphasize differences occurring when the periodic focusing lattice is replaced by the corresponding constant focusing one. [Copyright &y& Elsevier]
Copyright of Nuclear Instruments & Methods in Physics Research Section A is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Collective instabilities and collisional effects for space charge dominated beams
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  Data: <searchLink fieldCode="AR" term="%22Benedetti%2C+C%2E%22">Benedetti, C.</searchLink><i> benedetti@bo.infn.it</i><br /><searchLink fieldCode="AR" term="%22Turchetti%2C+G%2E%22">Turchetti, G.</searchLink><relatesTo>1</relatesTo>
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  Data: <searchLink fieldCode="JN" term="%22Nuclear+Instruments+%26+Methods+in+Physics+Research+Section+A%22">Nuclear Instruments & Methods in Physics Research Section A</searchLink>. Jul2007, Vol. 577 Issue 1/2, p133-138. 6p.
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  Data: <searchLink fieldCode="DE" term="%22Space+charge%22">Space charge</searchLink><br /><searchLink fieldCode="DE" term="%22Resonance%22">Resonance</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+statistics%22">Mathematical statistics</searchLink><br /><searchLink fieldCode="DE" term="%22Spectral+energy+distribution%22">Spectral energy distribution</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: Abstract: This paper is organized into two parts. In the first one we analyze the equipartitioning process in the presence of collisions for a Gaussian anisotropic beam. Far from instabilities the equipartition process can be described correctly by using Landau''s collisional theory, whereas when the dynamics of the system is strongly nonlinear (e.g. in the vicinity of a resonance) a hybrid dynamical–collisional equipartition mechanism occurs. In the second part of the paper we discuss shortly a systematic study of the collective instabilities in a symmetric periodic focusing channel for a KV beam by using the moments method. We emphasize differences occurring when the periodic focusing lattice is replaced by the corresponding constant focusing one. [Copyright &y& Elsevier]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Nuclear Instruments & Methods in Physics Research Section A is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1016/j.nima.2007.02.087
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      – Code: eng
        Text: English
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        PageCount: 6
        StartPage: 133
    Subjects:
      – SubjectFull: Space charge
        Type: general
      – SubjectFull: Resonance
        Type: general
      – SubjectFull: Mathematical statistics
        Type: general
      – SubjectFull: Spectral energy distribution
        Type: general
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      – TitleFull: Collective instabilities and collisional effects for space charge dominated beams
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              M: 07
              Text: Jul2007
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              Y: 2007
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              Value: 577
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