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There is so far no clear-cut experimental analysis that can determine whetherdipole-dipole interactions enhance or reduce the blocking temperature $T_{B}$of nanoparticle assemblies. It seems that the samples play a central role inthe problem and therefore, their geometry should most likely be the key factorin this issue. Yet, in a previous work, J\"onsson and Garcia-Palacios didinvestigate theoretically this problem in a weak-interaction limit and withoutthe presence of an external DC field. Based on symmetry arguments they reachedthe conclusion that the variation of the relaxation rate is monotonous. In thepresence of an external magnetic field we show that these arguments may nolonger hold depending on the experimental geometry. Therefore, the aim of thispaper is to evaluate the variation of $T_{B}$ for a model system consisting ofa chain of ferromagnetic nanoparticles coupled with long-range dipolarinteraction with two different geometries. Rather than addressing aquantitative analysis, we focus on the qualitative variation of $T_{B}$ as afunction of the interparticle distance a and of the external field $h$. The twofollowing situations are investigated: a linear chain with a longitudinal axialanisotropy in a longitudinal DC field and a linear chain with a longitudinalaxial anisotropy in a transverse field.

Magnetization Dynamics in 1D Chains of Ferromagnetic Nanoparticles Coupled with Dipolar Interactions: Blocking Temperature