Optimal lattice configurations for interacting spatially extended particles
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Optimal lattice configurations for interacting spatially extended particles. / Bétermin, Laurent; Knüpfer, Hans.
In: Letters in Mathematical Physics, Vol. 108, No. 10, 26.03.2018, p. 2213-2228 .Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Optimal lattice configurations for interacting spatially extended particles
AU - Bétermin, Laurent
AU - Knüpfer, Hans
PY - 2018/3/26
Y1 - 2018/3/26
N2 - 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.
AB - 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.
U2 - 10.1007/s11005-018-1077-9
DO - 10.1007/s11005-018-1077-9
M3 - Journal article
VL - 108
SP - 2213
EP - 2228
JO - Letters in Mathematical Physics
JF - Letters in Mathematical Physics
SN - 0377-9017
IS - 10
ER -
ID: 194096177