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Genetic algorithms predict formation of exotic ordered configurations for two-component dipolar monolayers.

Soft Matter

February 2008

Institut für Theoretische Physik II: Weiche Materie, Heinrich-Heine-Universität Düsseldorf, Universitätsstraße 1, D-40225 Düsseldorf, Germany and The Erwin Schrödinger International Institute for Mathematical Physics (ESI), Boltzmanngasse 9, A-1090 Vienna, Austria.

We employ genetic algorithms (GA), which allow for an unbiased search for the global minimum of energy landscapes, to identify the ordered equilibrium configurations formed by binary dipolar systems confined on a plane. A large variety of arrangements is identified, the complexity of which grows with increasing asymmetry between the two components and with growing concentration of the small particles. The effects of the density are briefly discussed and a comparison with results obtained via conventional lattice-sum minimization is presented.

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