Minimum potential energy of a point system of charges
Diskretnaya Matematika, Tome 4 (1992) no. 2, pp. 115-121
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For certain values of $N$ we find the distribution of $N$ identical charges on the unit sphere of an $n$-dimensional Euclidean space that minimizes the potential energy $w_n(N)$. For $n\geqslant3$, we find the principal term of the asymptotics of $w_n(N)$ as $N\to\infty$.
@article{DM_1992_4_2_a12,
author = {V. A. Yudin},
title = {Minimum potential energy of a point system of charges},
journal = {Diskretnaya Matematika},
pages = {115--121},
publisher = {mathdoc},
volume = {4},
number = {2},
year = {1992},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DM_1992_4_2_a12/}
}
V. A. Yudin. Minimum potential energy of a point system of charges. Diskretnaya Matematika, Tome 4 (1992) no. 2, pp. 115-121. http://geodesic.mathdoc.fr/item/DM_1992_4_2_a12/