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Photon trajectories in incoherent radiation trapping for Doppler, Lorentz andVoigt line shapes under complete frequency redistribution are shown to be Levyflights. The jump length (r) distributions display characteristic long tails.For the Lorentz line shape, the asymptotic form is a strict power-law r^{-3/2}while for Doppler the asymptotic is r^{-2} (ln r)^{-1/2}. For the Voigtprofile, the asymptotic form has always a Lorentz character, but the trajectoryis a self-affine fractal with two characteristic Hausdorff scaling exponents.Comment: 3 fig

Photon Trajectories in Incoherent Atomic Radiation Trapping as Lévy Flights