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

Gernot J. Pauschenwein; Gerhard Kahl

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arXiv · 0802.4199

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

Gernot J. Pauschenwein·Gerhard Kahl

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Abstract

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.

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Gernot J. Pauschenwein, Gerhard Kahl. 2008-02-28. Clusters, columns, and lamellae - minimum energy configurations in core softened potentials. https://arxiv.org/abs/0802.4199

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