The bunch-to-bunch evolution of the electron cloud density can be modeled using a cubic map. The map approach has been proved reliable for RHIC [1] and LHC [2]. The coefficients that parameterize the map may be obtained by fitting from time consuming numerical simulations. In this communication we derive a simple approximate formula for the linear coefficient in the electron cloud density map, along the lines laid in [3], in the presence of a dipole mag-netic field, and compare the result to numerical simula-tions, for the LHC.

A Formula for the Electron Cloud Map Coefficient in the Presence of a Magnetic Field

Petracca S.
2008-01-01

Abstract

The bunch-to-bunch evolution of the electron cloud density can be modeled using a cubic map. The map approach has been proved reliable for RHIC [1] and LHC [2]. The coefficients that parameterize the map may be obtained by fitting from time consuming numerical simulations. In this communication we derive a simple approximate formula for the linear coefficient in the electron cloud density map, along the lines laid in [3], in the presence of a dipole mag-netic field, and compare the result to numerical simula-tions, for the LHC.
2008
978-92-9083-315-4
File in questo prodotto:
File Dimensione Formato  
EPAC08_tupp030.pdf

non disponibili

Licenza: Non specificato
Dimensione 321.64 kB
Formato Adobe PDF
321.64 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12070/11418
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 2
  • ???jsp.display-item.citation.isi??? ND
social impact