  We suggest a workable approach for the description of multiscale
magnetization reversal phenomena in nanoscale magnets and apply it to CoPt-type
alloys. We show that their hysteretic properties are governed by two effects
originating at different length scales: a peculiar splitting of domain walls
and their strong pinning at antiphase boundaries. We emphasize that such
multiscale nature of hysteretic phenomena is a generic feature of nanoscale
magnetic materials.
