We have produced granular Ni-Al2O3 solids by magnetron sputtering, and
the entire composition range has been studied. The percolation thresh
old (p(c)) has been identified to be near 55 percent Ni by volume, in
agreement with other granular metal systems. Below p(c), the samples d
isplay typical single domain magnetic behaviors, including superparama
gnetism and enhanced coercivity. However, above percolation the sample
s display ferromagnetic transitions which differ substantially from th
e transition in pure Ni. We have performed a scaling analysis of the f
erromagnetic transition in several such materials, and have obtained v
alues of the Curie temperatures and the critical exponents. These are
the first such analyses of the ferromagnetic-paramagnetic transition i
n granular magnetic solids. We have observed a depression of the Curie
temperature as the Al2O3 Content of the samples is increased, as well
as a substantial variation of the critical exponents. The variation o
f T(c) may be understood in terms of finite size scaling.