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We compute the AC susceptibility of a weakly dipolar-interacting monodisperseassembly of magnetic nanoclusters with oriented anisotropy. For this purpose wefirst compute the relaxation rate in a longitudinal magnetic field of a singlenanomagnet taking account of both dipolar interactions in the case of diluteassemblies and surface anisotropy. We then study the behavior of the real andimaginary components of the AC susceptibility as functions of temperature,frequency, surface anisotropy and inter-particle interactions. We find that thesurface anisotropy induces an upward shift of the temperature at the maximum ofthe AC susceptibility components and that its effects may be tuned so as toscreen out the effects of interactions. The phenomenological Vogel-Fulcher lawfor the effect of dipolar interaction on the relaxation rate is revisitedwithin our formalism and a semi-analytical expression is given for theeffective temperature is given in terms of inter alia the applied field,surface anisotropy and dipolar interaction.

AC susceptibility of an assembly of nanomagnets: combined effects of surface anisotropy and dipolar interactions