Magnetization processes in Ni nanowire arrays are investigated. The wires a
re produced by electrodepositing Ni into porous anodic alumina and exhibit
coercivities of the order of 0.05 T (500 Oe) along the wire axis. Transmiss
ion-electron microscopy of freed wires shows that the wires are polycrystal
line and resemble a chain of nanocrystallites. To model the hysteresis loop
s, the wires are treated as one-dimensional random-anisotropy magnets where
the magnetocrystalline bulk anisotropy is a weak perturbation to the leadi
ng anisotropy contribution. The calculation yields an analytical equation f
or the magnetization as a function of the applied magnetic field. For small
and moderate reversed fields, the agreement between theory and experiment
is very good, but the applicability of the model breaks down close to the c
oercive field. This failure is explained by the neglect of higher-order per
turbation terms describing, for example, magnetic localization effects.