# 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} }

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…

## 9 Citations

### Numerical Simulations of Transverse Beam Diffusion Enhancement by the Use of Electron Lens in the Tevatron Collider

- Physics
- 2012

Transverse beam diffusion for the Tevatron machine has been calculated using the Lifetrac code. The following effects were included: random noise (representing residual gas scattering, voltage noise…

### TESTING THE GLOBAL DIFFUSIVE BEHAVIOUR OF BEAM-HALO DYNAMICS AT THE CERN LHC USING COLLIMATOR SCANS ∗

- Physics
- 2022

In superconducting circular particle accelerators, control-ling beam losses is of paramount importance for ensuring optimal machine performance and an efficient operation. To achieve the required…

### Measurements of beam halo diffusion and population density in the Tevatron and in the Large Hadron Collider

- Physics
- 2015

Halo dynamics influences global accelerator performance: beam lifetimes, emittance growth, dynamic aperture, and collimation efficiency. Halo monitoring and control are also critical for the…

### Probing LHC halo dynamics using collimator loss rates at 6.5 TeV

- Physics
- 2020

Halo diffusion measurements at the CERN Large Hadron Collider (LHC) were conducted with beams for physics at 6.5 TeV by means of collimator scans, carried out between 2016 and 2018. From the time…

### Probing the diffusive behaviour of beam-halo dynamics in circular accelerators

- PhysicsThe European Physical Journal Plus
- 2022

Circular particle accelerators at the energy frontier are based on superconducting magnets that are extremely sensitive to beam losses as these might induce quenches, i.e. transitions to the…

### MEASUREMENTS OF THE EFFECT OF COLLISIONS ON TRANSVERSE BEAM HALO DIFFUSION IN THE TEVATRON AND IN THE LHC

- Physics
- 2013

Beam-beam forces and collision optics can strongly affect beam lifetime, dynamic aperture, and halo formation in particle colliders. Extensive analytical and numerical si mulations are carried out in…

### New methods of particle collimation in colliders

- Physics
- 2011

The collimation system is an essential part of the design of any high-power accelerator. Its functions include protection of components from accidental and intentional energy deposition, reduction of…

### Beam Halo Dynamics and Control With Hollow Electron Beams

- Physics, Medicine
- 2012

Experimental measurements of beam halo diffusion dynamics with collimator scans are reviewed. The concept of halo control with a hollow electron beam collimator, its demonstration at the Tevatron,…

### Fast Automatic Beam-Based Alignment of the LHC Collimator Jaws

- Physics
- 2014

The CERN Large Hadron Collider (LHC) in Geneva, Switzerland is the largest and most powerful particle accelerator ever built. With a circumference of 27 km, it is designed to collide particles in two…

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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)

### Jcf) # plot range plot(c(Jmin,Jmax), c(0, max

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