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@ARTICLE{Pohl:293268,
      author       = {Pohl, Martin and Wilhelm, A. and Telezhinsky, I.},
      title        = {{R}eacceleration of electrons in supernova remnants},
      journal      = {Astronomy and astrophysics},
      volume       = {574},
      issn         = {1432-0746},
      address      = {Les Ulis},
      publisher    = {EDP Sciences},
      reportid     = {PUBDB-2016-00423, arXiv:1411.2891},
      pages        = {A43 -},
      year         = {2015},
      note         = {(c) ESO. The arXiv version v1 does match with the post
                      referee version.},
      abstract     = {In this paper we determine the effect of stochastic
                      reacceleration on the spectra of electrons in the GeV band
                      and at lower energies, and we investigate whether
                      reacceleration can explain the observed variation in radio
                      spectral indices.Methods. We explicitely calculated the
                      momentum diffusion coefficient for 3 types of turbulence
                      expected downstream of the forward shock: fast-mode waves,
                      small-scale non-resonant modes, and large-scale modes
                      arising from turbulent dynamo activity. After noting that
                      low-energy particles are efficiently coupled to the
                      quasi-thermal plasma, a simplified cosmic-ray transport
                      equation can be formulated and is numerically
                      solved.Results. Only fast-mode waves can provide momentum
                      diffusion fast enough to significantly modify the spectra of
                      particles. Using a synchrotron emissivity that accurately
                      reflects a highly turbulent magnetic field, we calculated
                      the radio spectral index and find that soft spectra with
                      index α ≲ − 0.6 can be maintained over more than 2
                      decades in radio frequency, even if the electrons experience
                      reacceleration for only one acceleration time. A spectral
                      hardening is possible but considerably more
                      frequency-dependent. The spectral modification imposed by
                      stochastic reacceleration downstream of the forward shock
                      depends only weakly on the initial spectrum provided by,
                      e.g., diffusive shock acceleration at the shock itself.},
      cin          = {$Z_THAT$},
      ddc          = {520},
      cid          = {$I:(DE-H253)Z_THAT-20210408$},
      pnm          = {523 - High-energy gamma ray astronomy (POF2-523)},
      pid          = {G:(DE-HGF)POF2-523},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000349467000043},
      eprint       = {1411.2891},
      howpublished = {arXiv:1411.2891},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:1411.2891;\%\%$},
      doi          = {10.1051/0004-6361/201425027},
      url          = {https://bib-pubdb1.desy.de/record/293268},
}