Abstract
Thermal effects in an array of nonidentical, noninteracting single domain ferromagnetic particles are studied. Two sources of stochasticity are recognized within the array: the intrinsic stochastic nature of thermal relaxation and variations within the particles’ volume and orientation with respect to applied field, both are discussed in turn. We use the log-normal volume distribution {∼(σV)−1exp[−ln2(V/V0)/(2σ2)]} and a cosν ψ angular distribution to calculate the mean coercivity B̄c of a particle array. We find that B̄c increases rapidly with increasing average volume <V≳=V0 exp(σ2/2) while for misaligned particles (ν≤∞) we observe a sudden decrease in B̄c accompanied by a gradual loss of frequency dependence.
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