Abstract

In this paper we investigate the properties of a three-component, three-dimensional lattice model of self-assembly in the context of percolation. The percolating regions in the three-component phase-diagram are mapped out and the different kind of percolating regions are discussed. The growth and scaling of clusters leading to percolation are investigated and the scaling exponents \ensuremath{\mathrm{B}} and \ensuremath{\gamma} are determined to be 0.373 and 1.79, respectively, which are identical to the noninteracting three-dimensional percolation exponents. Finally, percolation in the lattice model is discussed in terms of micelle and microemulsion structure, as defined by size and spectroscopic methods.

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