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  lüll On the acceleration of ultra-high-energy cosmic rays Fraschetti FPhilos Trans A Math Phys Eng Sci  2008[Dec]; 366 (1884): 4417-28Ultra-high-energy cosmic rays (UHECRs) hit the Earth's atmosphere with energies  exceeding 10(18)eV. This is the same energy as carried by a tennis ball moving at  100 km h-1, but concentrated on a subatomic particle. UHECRs are so rare (the  flux of particles with E>10(20)eV is 0.5 km -2 per century) that only a few such  particles have been detected over the past 50 years. Recently, the HiRes and  Auger experiments have reported the discovery of a high-energy cut-off in the  UHECR spectrum, and Auger has found an apparent clustering of the highest energy  events towards nearby active galactic nuclei. Consensus is building that the  highest energy particles are accelerated within the radio-bright lobes of these  objects, but it remains unclear how this actually happens, and whether the  cut-off is due to propagation effects or reflects an intrinsically physical  limitation of the acceleration process. The low event statistics presently allows  for many different plausible models; nevertheless observations are beginning to  impose strong constraints on them. These observations have also motivated  suggestions that new physics may be implicated. We present a review of the key  theoretical and observational issues related to the processes of propagation and  acceleration of UHECRs and proposed solutions.|*Cosmic Radiation[MESH]|*Elementary Particles[MESH]|Acceleration[MESH]|Atmosphere[MESH]|Extraterrestrial Environment[MESH]|Models, Theoretical[MESH] |