Plerionic supernova remnants exhibit radio emission with remarkably flat spectral indices ranging from $alpha=0.0$ to $alpha=-0.3$. The origin of very hard particle energy distributions still awaits an explanation, since shock waves generate particle distributions with synchrotron spectra characterized by $alphale-0.5$. Acceleration of high energy leptons in magnetohydrodynamic turbulence instead may be responsible for the observed hard spectra. This process is studied by means of relativistic test particle calculations using electromagnetic fields produced by three-dimensional simulations of resistive magnetohydrodynamical turbulence. The particles receive power-law energy spectra $N(gamma)propto gamma^{-s}$ with $s$ ranging from 1.2 to 1.6, i.e. particle spectra that are required to explain the radio emission of plerions.
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