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Self-assembly is the mechanism that controls the formation of well definedstructures from disordered pre-existing parts. Despite the importance ofself-assembly as a manufacturing method and the increasingly large number ofexperimental realizations of complex self-assembled nano aggregates,theoretical predictions are lagging behind. Here we show that for a non-trivialself-assembly phenomenon, originating branched loop-less clusters, it ispossible to derive a fully predictive parameter-free theory of equilibriumself-assembly by combining the Wertheim theory for associating liquids with theFlory-Stockmayer approach for chemical gelation.

A fully solvable equilibrium self-assembly process: fine tuning the clusters size and the connectivity in patchy particle systems