Cosmic rays above the second knee from clusters of galaxies and associated high-energy neutrino emission

Accretion and merger shocks in clusters of galaxies are potential accelerators of high-energy protons, which can give rise to high-energy neutrinos through pp interactions with the intracluster gas. We discuss the possibility that protons from cluster shocks make a significant contribution to the observed cosmic rays in the energy range between the second knee at-10 ^17.5 eV and the ankle at-10^18.5 eV. The accompanying cumulative neutrino background above-PeV may be detectable by upcoming neutrino telescopes such as IceCube or KM3NeT, providing a test of this scenario as well as a probe of cosmic-ray confinement properties in clusters.