American Physical Society, Physical Review D, 6(86)
DOI: 10.1103/physrevd.86.063005
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We construct and discuss a toy model of the population of numerous nonidentical extragalactic sources of ultrahigh-energy cosmic rays. In the model, cosmic-ray particles are accelerated in magnetospheres of supermassive black holes in galactic nuclei, the key parameter of acceleration being the black-hole mass. We use astrophysical data on the redshift-dependent black-hole mass function to describe the population of these cosmic-ray accelerators, from weak to powerful, and confront the model with cosmic-ray data.