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Published online by Cambridge University Press: 25 May 2016
We study the possibility that the recently detected hard X-ray excess from some clusters of galaxies is due to bremsstrahlung emission of a nonthermal tail in the electron distribution produced by stochastic acceleration in a background of MHD waves. We find that this scenario requires an overall level of fluctuations which is only δB2/B2 ~ 3% for a magnetic field B on the order of μG. Despite the reasonable values for these parameters, a large rate of injection of waves is needed to compensate the damping of the waves.