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The main aim of the present work is to analyse the effect of dipolarinteraction strength $\lambda$, particle size $D$ and temperature $T$ on thehysteresis mechanism in ordered arrays of magnetic nanoparticles (MNPs) usingcomputer simulations. The anisotropy axes of the MNPs are assumed to haverandom orientation to mimic the real system. In the absence of thermalfluctuations and dipolar interaction, the hysteresis follows the Stoner andWohlfarth model irrespective of $D$, as expected. The hysteresis loop area isminimal for particle sizes $D \approx8-16$ nm at $T=300$ K and $\lambda=0.0$,indicating the dominance of superparamagnetic character. Switching magneticinteraction on is able to move the MNPs from superparamagnetic to aferromagnetic state even at room temperature; therefore, magnetic interactionof enough strength enhances the hysteresis loop area. Interestingly, thehysteresis loop area is significant and is the same as that of Stoner andWohlfarth particle even $T=300$ K and negligible dipolar interaction forferromagnetic MNPs ($D>16$ nm). The coercive field $\mu^{}_oH^{}_c$ andblocking temperature $T^{}_B$ also get enhanced with an increase in $\lambda$and $D$. The rigorous analysis of the coercive field $\mu^{}_oH^{}_c$ vstemperature data also reveals significant deviation from $T^{3/4}$ dependenceof $\mu^{}_oH^{}_c$ because of dipolar interaction. The amount of heatdissipated $E^{}_H$ and $\mu_oH^{}_c$ decrease rapidly with $T$ for $D\approx8-16$ nm and $\lambda\leq0.6$. On the other hand, $E^{}_H$ and $\mu^{}_oH^{}_c$depend weakly on $T$ with $D>16$ nm, even in the weak dipolar limit. Thepresent work should provide a better understanding of magnetic hyperthermia toresearchers working on this subject. For physicists, it would be interesting totest experimentally the results described in this article.

Tailoring Heat Dissipation in Ordered Arrays of Dipolar Coupled Magnetic Nanoparticles