Numerical Evaluation of long-term Stability

The problem of predicting long-term particle loss in 4D betatronic motion is considered. A phenomenological scenario is derived through numerical tools based on tracking and frequency analysis. A three-parameter formula to interpolate the dynamic aperture versus the number of turns is proposed. The...

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Detalles Bibliográficos
Autores principales: Giovannozzi, Massimo, Scandale, Walter, Todesco, Ezio
Lenguaje:eng
Publicado: 1997
Materias:
Accelerators and Storage Rings
Acceso en línea:https://dx.doi.org/10.1063/1.53494
http://cds.cern.ch/record/334598
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author Giovannozzi, Massimo
Scandale, Walter
Todesco, Ezio
author_facet Giovannozzi, Massimo
Scandale, Walter
Todesco, Ezio
author_sort Giovannozzi, Massimo
collection CERN
description The problem of predicting long-term particle loss in 4D betatronic motion is considered. A phenomenological scenario is derived through numerical tools based on tracking and frequency analysis. A three-parameter formula to interpolate the dynamic aperture versus the number of turns is proposed. The agreement with tracking data is excellent, and the extrapolation for very high number of turns agrees with the onset of chaos evaluated through the Lyapunov method.
id cern-334598
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1997
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spelling cern-3345982023-05-31T13:22:07Zdoi:10.1063/1.53494http://cds.cern.ch/record/334598engGiovannozzi, MassimoScandale, WalterTodesco, EzioNumerical Evaluation of long-term StabilityAccelerators and Storage RingsThe problem of predicting long-term particle loss in 4D betatronic motion is considered. A phenomenological scenario is derived through numerical tools based on tracking and frequency analysis. A three-parameter formula to interpolate the dynamic aperture versus the number of turns is proposed. The agreement with tracking data is excellent, and the extrapolation for very high number of turns agrees with the onset of chaos evaluated through the Lyapunov method.LHC-Project-Report-136CERN-LHC-Project-Report-136oai:cds.cern.ch:3345981997-09-09
spellingShingle Accelerators and Storage Rings
Giovannozzi, Massimo
Scandale, Walter
Todesco, Ezio
Numerical Evaluation of long-term Stability
title Numerical Evaluation of long-term Stability
title_full Numerical Evaluation of long-term Stability
title_fullStr Numerical Evaluation of long-term Stability
title_full_unstemmed Numerical Evaluation of long-term Stability
title_short Numerical Evaluation of long-term Stability
title_sort numerical evaluation of long-term stability
topic Accelerators and Storage Rings
url https://dx.doi.org/10.1063/1.53494
http://cds.cern.ch/record/334598
work_keys_str_mv AT giovannozzimassimo numericalevaluationoflongtermstability
AT scandalewalter numericalevaluationoflongtermstability
AT todescoezio numericalevaluationoflongtermstability

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