Optimal lattice configurations for interacting spatially extended particles
We investigate lattice energies for radially symmetric, spatially extended particles interacting via a radial potential and arranged on the sites of a two-dimensional Bravais lattice. We show the global minimality of the triangular lattice among Bravais lattices of fixed density in two cases: In the...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
October 2018
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| In: |
Letters in mathematical physics
Year: 2018, Volume: 108, Issue: 10, Pages: 2213-2228 |
| ISSN: | 1573-0530 |
| DOI: | 10.1007/s11005-018-1077-9 |
| Online Access: | Resolving-System, Volltext: http://dx.doi.org/10.1007/s11005-018-1077-9 Verlag, Volltext: https://link.springer.com/article/10.1007/s11005-018-1077-9 
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| Author Notes: | Laurent Bétermin, Hans Knüpfer |
| Summary: | We investigate lattice energies for radially symmetric, spatially extended particles interacting via a radial potential and arranged on the sites of a two-dimensional Bravais lattice. We show the global minimality of the triangular lattice among Bravais lattices of fixed density in two cases: In the first case, the distribution of mass is sufficiently concentrated around the lattice points, and the mass concentration depends on the density we have fixed. In the second case, both interacting potential and density of the distribution of mass are described by completely monotone functions in which case the optimality holds at any fixed density. |
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| Item Description: | Gesehen am 17.12.2018 |
| Physical Description: | Online Resource |
| ISSN: | 1573-0530 |
| DOI: | 10.1007/s11005-018-1077-9 |