Anomalous Diffusion Near Resonances Metadata

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  • Main Title Anomalous Diffusion Near Resonances


  • Author: Sen, Tanaji
    Creator Type: Personal
    Creator Info: /Fermilab


  • Sponsor: United States. Department of Energy.
    Contributor Type: Organization
    Contributor Info: USDOE


  • Name: Fermi National Accelerator Laboratory
    Place of Publication: Batavia, Illinois
    Additional Info: Fermi National Accelerator Laboratory (FNAL), Batavia, IL


  • Creation: 2010-05-01


  • English


  • Content Description: Synchro-betatron resonances can lead to emittance growth and the loss of luminosity. We consider the detailed dynamics of a bunch near such a low order resonance driven by crossing angles at the collision points. We characterize the nature of diffusion and find that it is anomalous and sub-diffusive. This affects both the shape of the beam distribution and the time scales for growth. Predictions of a simplified anomalous diffusion model are compared with direct simulations. Transport of particles near resonances is still not a well understood phenomenon. Often, without justification, phase space motion is assumed to be a normal diffusion process although at least one case of anomalous diffusion in beam dynamics has been reported [1]. Here we will focus on the motion near synchro-betatron resonances which can be excited by several means, including beams crossing at an angle at the collision points as in the LHC. We will consider low order resonances which couple the horizontal and longitudinal planes, both for simplicity and to observe large effects over short time scales. While the tunes we consider are not practical for a collider, nonetheless the transport mechanisms we uncover are also likely to operate at higher order resonances.


  • Keyword: Diffusion
  • Keyword: Luminosity
  • STI Subject Categories: 43 Particle Accelerators
  • Keyword: Shape
  • Keyword: Transport Accelerators
  • Keyword: Phase Space
  • Keyword: Accelerators
  • Keyword: Accelerators
  • Keyword: Distribution
  • Keyword: Resonance
  • Keyword: Beam Dynamics


  • Journal Name: Conf.Proc.C100523:MOPEC017,2010; Conference: 1st International Particle Accelerator Conference: IPAC'10, 23-28 May 2010, Kyoto, Japan


  • Name: Office of Scientific & Technical Information Technical Reports
    Code: OSTI


  • Name: UNT Libraries Government Documents Department
    Code: UNTGD

Resource Type

  • Article


  • Text


  • Report No.: FERMILAB-CONF-10-388-APC
  • Grant Number: AC02-07CH11359
  • Office of Scientific & Technical Information Report Number: 991310
  • Archival Resource Key: ark:/67531/metadc1014391