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La problématique de l'évolution des moments d'une densité de particules soumises à des forces non linéaires

Abstract : High-power linear accelerators are needed as driver for several projects (spallation neutron sources, hybrid system). This interest brings us to the question of dynamics of high intensity particle beam. Inside intense beam, particles are under non linear forces mainly due to space charge effects. In order to have less heavy and more realistic tools than classical simulation methods (particle-particle interactions, particle-core model), we consider a description of the evolution of a particle density from its statistical parameters, its moments. In a first part, a detailed analysis of the moment problems is shown in a simplified but non restrictive case. To begin with, we develop an original study based on orthogonal polynomial properties which allows us to study one-dimension density moments. We can see that we obtain information about density from only few moments. Such an investigation is essential for a better understanding of moment significance. Then, we apply this description to two-dimension phase space, so that we can precisely estimate where particles are in this phase space. Finally, we enumerate difficulties met and deduce the limits of this method. The second part of this thesis, more experimental, presents beam the measurements of the beam characteristics of accelerator "GENEPI" as a part of hybrid reactor program. Moreover, we show how these specifications yields to beam calibration and validation of theoretical calculations used to design GENEPI.
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Contributor : Christophe Peaucelle <>
Submitted on : Wednesday, February 27, 2002 - 2:09:26 PM
Last modification on : Thursday, November 19, 2020 - 12:58:21 PM
Long-term archiving on: : Friday, April 2, 2010 - 6:01:32 PM


  • HAL Id : tel-00001153, version 1



Christophe Peaucelle. La problématique de l'évolution des moments d'une densité de particules soumises à des forces non linéaires. Physique des Hautes Energies - Expérience [hep-ex]. Institut National Polytechnique de Grenoble - INPG, 2001. Français. ⟨tel-00001153⟩



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