Diffusion in stochastically perturbed Hamiltonian systems with applications to the recent LHC dynamic aperture experiments

Bazzani, Armando; Mazzarisi, Onofrio; Giovannozzi, M.; Maclean, Ewen

doi:10.1142/9789813279612_0005

Cited by 4 publications

(1 citation statement)

References 22 publications

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“…( 6) (parenthetically, the data from the measurement campaign performed at injection energy in the LHC have been re-analysed using the diffusive approach and the discussion of the results can be found in Ref. [37]). The model needs to find an efficient method to determine the three parameters.…”

Section: Modelling the Experimental Results With A Diffusion Equationmentioning

confidence: 99%

Analysis of the non-linear beam dynamics at top energy for the CERN Large Hadron Collider by means of a diffusion model

2020

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In this paper the experimental results of the recent dynamic aperture at top energy for the CERN Large Hadron Collider are analysed by means of a diffusion model whose novelty consists of deriving the functional form of the diffusion coefficient from Nekhoroshev theorem. This theorem provides an optimal estimate of the remainder of perturbative series for Hamiltonian systems. As a consequence, a three-parameter diffusion model is built that reproduces the experimental results with a high level of accuracy. A detailed discussion of the physical interpretation of the proposed model is also presented.

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Section: Modelling the Experimental Results With A Diffusion Equationmentioning

confidence: 99%

Analysis of the non-linear beam dynamics at top energy for the CERN Large Hadron Collider by means of a diffusion model

2020

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Emergent pseudo time-irreversibility in the classical many-body system of pair interacting particles

Tóth

2022

Physica D: Nonlinear Phenomena

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

2022

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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 normal-conducting state. Furthermore, the energy stored in the circulating beam is so large that hardware integrity is put in serious danger, and machine protection becomes essential for reaching the nominal accelerator performance. In this challenging context, the beam halo becomes a potential source of performance limitations and its dynamics needs to be understood in detail to assess whether it could be an issue for the accelerator. In this paper, we discuss in detail a recent framework, based on a diffusive approach, to model beam-halo dynamics. The functional form of the optimal estimate of the perturbative series, as given by Nekhoroshev’s theorem, is used to provide the functional form of the action diffusion coefficient. The goal is to propose an effective model for the beam-halo dynamics and to devise an efficient experimental procedure to obtain an accurate measurement of the diffusion coefficient.

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Diffusion in stochastically perturbed Hamiltonian systems with applications to the recent LHC dynamic aperture experiments

Cited by 4 publications

References 22 publications

Analysis of the non-linear beam dynamics at top energy for the CERN Large Hadron Collider by means of a diffusion model

Analysis of the non-linear beam dynamics at top energy for the CERN Large Hadron Collider by means of a diffusion model

Emergent pseudo time-irreversibility in the classical many-body system of pair interacting particles

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

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