Measurements of the magnetic irreversibility line and time-logarithmic deca
y of the magnetization are described for three Fe2O3 samples composed of re
gular amorphous, acicular amorphous, and crystalline nanoparticles. The rel
axation rate is the largest and the irreversibility temperature is the lowe
st for the regular amorphous nanoparticles. The crystalline material exhibi
ts the lowest relaxation rate and the largest irreversibility temperature.
We develop a phenomenological model to explain the details of the experimen
tal results. The main new aspect of the model is the dependence of the barr
ier for magnetic relaxation on the instantaneous magnetization and therefor
e on time. The time-dependent barrier yields a natural explanation for the
time-logarithmic decay of the magnetization. Interactions between particles
as well as shape and crystalline magnetic anisotropies define an energy sc
ale that controls the magnetic irreversibility. Introducing this energy sca
le yields a self-consistent explanation of the experimental data. [S0163-18
29(99)03009-X].