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The fully retarded dispersion interaction between an atom and a cluster orbetween two clusters is calculated. Results obtained with two different methodsare compared. One is to consider a cluster as a collection of many atoms andevaluate the sum of two-body and three-body interatomic interactions, a commonassumption. The other method, valid at large separation, is to consider eachcluster as a point particle, characterized by a polarizability tensor, andevaluate the inter-cluster interaction. This method employs the staticpolarizability, evaluated by including all many-body (MB) intra-cluster atomicinteractions self-consistently, which yields the full inter-clusterinteraction, including all MB terms. A comparison of the results from the twomethods reveals that the contribution of the higher-than-three-body MBinteractions is always attractive and non-negligible, with a relativeimportance that varies with geometry. The procedure is quite general and isapplicable to any shape or size of dielectric clusters, in principle. Wepresent numerical results for clusters composed of atoms with polarizabilityconsistent with silica, for which the higher-than-three-body MB correction termcan be as high as 42% of the atomic pair-wise sum. The full result is quitesensitive to the anisotropic structure of the cluster, in contrast to theresult found in the additive case, which is orientation independent. We alsopresent a power law expansion of the total van der Waals (VDW) interaction as aseries of n-body interaction terms.Comment: 36 pages, 14 figure

Fully retarded van der Waals interaction between dielectric nanoclusters