% IMPORTANT: The following is UTF-8 encoded.  This means that in the presence
% of non-ASCII characters, it will not work with BibTeX 0.99 or older.
% Instead, you should use an up-to-date BibTeX implementation like “bibtex8” or
% “biber”.

@INPROCEEDINGS{Oeftiger:357767,
      author       = {Oeftiger, Adrian and Boine-Frankenheim, Oliver and Hofmann,
                      Ingo},
      editor       = {Gianfelice, Eliana and Nagaitsev, Sergei and Kim, Dong Eon
                      and Marx, Michaela and Schaa, Volker R. W.},
      title        = {{S}elf-{C}onsistent {L}ong-{T}erm {D}ynamics of {S}pace
                      {C}harge {D}riven {R}esonances in 2{D} and 3{D}},
      address      = {Geneva, Switzerland},
      publisher    = {JACoW Publishing},
      reportid     = {GSI-2025-00448},
      pages        = {160-169 p.},
      year         = {2021},
      note         = {Published by JACoW Publishing under the terms of the
                      Creative Commons Attribution 3.0 International license.},
      abstract     = {Understanding the 3D collective long-term response of beams
                      exposed to resonances is of theoretical interest and
                      essential for advancing high intensity synchrotrons. This
                      study of a hitherto unexplored beam dynamical regime is
                      based on 2D and 3D self-consistent particle-in-cell
                      simulations and on careful analysis using tune spectra and
                      phase space. It shows that in Gaussian-like beams Landau
                      damping suppresses all coherent parametric resonances, which
                      are of higher than second order (the 'envelope
                      instability'). Our 3D results are obtained in an exemplary
                      stopband, which includes the second order coherent
                      parametric resonance and a fourth order structural
                      resonance. They show that slow synchrotron oscillation plays
                      a significant role. Moreover, for the early time evolution
                      of emittance growth the interplay of incoherent and coherent
                      resonance response matters, and differentiation between halo
                      and different core regions is essential. In the long-term
                      behavior we identify a progressive, self-consistent drift of
                      particles toward and across the resonance, which results in
                      effective compression of the initial tune spectrum. However,
                      no visible imprint of the coherent features is left over,
                      which only control the picture during the first one or two
                      synchrotron periods. An intensity limit criterion and an
                      asymptotic formula for long-term rms emittance growth are
                      suggested. Comparison with the commonly used
                      non-self-consistent 'frozen space charge' model shows that
                      in 3D this approximation yields a fast and useful
                      orientation, but it is a conservative estimate of the
                      tolerable intensity.},
      month         = {Oct},
      date          = {2021-10-04},
      organization  = {64th ICFA Advanced Beam Dynamics
                       Workshop on High-Intensity and
                       High-Brightness Hadron Beams, Batavia,
                       IL (USA), 4 Oct 2021 - 8 Oct 2021},
      keywords     = {Accelerator Physics (Other) / Beam Dynamics in Rings
                      (Other)},
      cin          = {APH},
      cid          = {I:(DE-Ds200)APH-20060809OR090},
      pnm          = {899 - ohne Topic (POF4-899)},
      pid          = {G:(DE-HGF)POF4-899},
      experiment   = {$EXP:(DE-Ds200)no_experiment-20200803$},
      typ          = {PUB:(DE-HGF)8},
      doi          = {10.18429/JACOW-HB2021-TUAC1},
      url          = {https://repository.gsi.de/record/357767},
}