Author: Amstutz, Ph.
Paper Title Page
WEPAB226 Investigation of Vlasov Systems with a Certain Class of Linearly-Collective Hamiltonians 3157
 
  • Ph. Amstutz, M. Vogt
    DESY, Hamburg, Germany
 
  In many cases the Vlasov equation cannot be solved exactly due its inherent non-linearity arising from collective terms in the Hamiltonian. Based on the analysis of the Hamiltonian’s dependence on the phase-space density and the requirement for self-consistency in this contribution a class of Hamiltonians is defined and characterized. For members of this class the corresponding expansion of the Vlasov equation terminates. The new, potentially non-autonomous, Hamiltonian of the resulting Liouville equation depends only on the initial condition of the phase-space density. Prominent members of this class are Poisson-type kick-Hamiltonians, which we show as an example. We expect these investigations to be a potential starting point for the analysis and conception of operator-splitting schemes or splitting-free methods for beam-dynamics simulation codes.  
DOI • reference for this paper ※ https://doi.org/10.18429/JACoW-IPAC2021-WEPAB226  
About • paper received ※ 18 May 2021       paper accepted ※ 01 July 2021       issue date ※ 17 August 2021  
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