• Corpus ID: 118804042

Diffusion model for the time evolution of particle loss rates in collimator scans: a method for measuring stochastic transverse beam dynamics in circular accelerators

@article{Stancari2011DiffusionMF,
  title={Diffusion model for the time evolution of particle loss rates in collimator scans: a method for measuring stochastic transverse beam dynamics in circular accelerators},
  author={Giulio Stancari},
  journal={arXiv: Accelerator Physics},
  year={2011}
}
  • G. Stancari
  • Published 25 August 2011
  • Physics
  • arXiv: Accelerator Physics
A diffusion model of the time evolution of loss rates caused by a step in collimator position is presented. It builds upon the model of Seidel (1994) and its assumptions: (1) constant diffusion rate within the range of the step and (2) linear halo tails. These hypotheses allow one to obtain analytical expressions for the solutions of the diffusion equation and for the corresponding loss rates vs. time. The present model addresses some of the limitiations of the previous model and expands it in… 

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expression(f[0](J)), pos=2) text(xx, flin(xx, A=Af, J0=Jcf), expression(f[infinity](J)), pos=4) max(Jci*Ai

  • xx <-0.5*(Jmin+Jmax) # labels curves text(xx, flin(xx, A=Ai, J0=Jci)

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))) # define colors, grayscale

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