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We use a Monte Carlo approach to simulate the influence of the dipolarinteraction on assemblies of monodisperse superparamagnetic${\gamma}-Fe_{2}O_{3}$ nanoparticles. We have identified a criticalconcentration c*, that marks the transition between two different regimes inthe evolution of the blocking temperature ($T_{B}$) with interparticleinteractions. At low concentrations (c < c*) magnetic particles behave as anideal non-interacting system with a constant $T_{B}$. At concentrations c > c*the dipolar energy enhances the anisotropic energy barrier and $T_{B}$increases with increasing c, so that a larger temperature is required to reachthe superparamagnetic state. The fitting of our results with classical particlemodels and experiments supports the existence of two differentiated regimes.Our data could help to understand apparently contradictory results from theliterature.

Nonmonotonic Evolution of the Blocking Temperature in Dispersions of Superparamagnetic Nanoparticles