Clusters, columns, and lamellae - minimum energy configurations in core softened potentials

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We give evidence that particles interacting via the simple, radially symmetric square-shoulder potential can self-organize in highly complex, low-symmetry lattices, forming thereby clusters, columns, or lamellae; only at high pressure compact, high-symmetry structures are observed. Our search for these ordered equilibrium structures is based on ideas of genetic algorithms, a strategy that is characterized by a high success rate. A simple mean-field type consideration complements these findings and locates in a semi-quantitative way the cross-over between the competing structures.
5 pages, 5 figures

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