The granular layered magnetic system Co80Fe20 (t)/Al2O3 (3 nm), where the C
o80Fe20 layers of nominal thickness t form separate, almost spherical magne
tic granules of typical diameter 2-3 mn between the Al2O3 spacers, was stud
ied. We discuss measurements of the dc and ac magnetic susceptibility chi f
or 1 nm < t < 1.3 nm at temperatures 10 K < T < 300 K and ac frequencies 0.
01 Hz < f < 10(3) Hz, revealing a rich variety of magnetic states, includin
g superparamagnetic (SPM), ferromagnetic (FM)-like, and glass (G)-like. In
order to describe the ac response in this disordered planar system, a gener
alization of the Mel-Brown approach is proposed, including random anisotrop
y and random molecular fields acting on the granules. The observed magnetic
states are summarized in a phase diagram in the variables t - T, which is
explained through the competition of thermal energy with two kinds of inter
action between granules: usual dipolar (point-like) and FM "exchange" (due
to stray dipolar fields from nonspherical granules). In particular, the coi
ncidence of maximum low field sensitivity dMR/dH with the SPM-FM transition
Hue on this diagram is confirmed.