Matches in SemOpenAlex for { <https://semopenalex.org/work/W2554092047> ?p ?o ?g. }
Showing items 1 to 67 of
67
with 100 items per page.
- W2554092047 abstract "We study the local optimality of Simple Cubic, Body-Centred-Cubic and Face-Centred-Cubic lattices among Bravais lattices of fixed density for some finite energy per point. Following the work of Ennola [Math. Proc. Cambridge, 60:855--875, 1964], we prove that these lattices are critical points of all the energies, we write the second derivatives in a simple way and we investigate the local optimality of these lattices for the theta function and the Lennard-Jones-type energies. In particular, we prove the local minimality of the FCC lattice (resp. BCC lattice) for large enough (resp. small enough) values of its scaling parameter and we also prove the fact that the simple cubic lattice is a saddle point of the energy. Furthermore, we prove the local minimality of the FCC and the BCC lattices at high density (with an optimal explicit bound) and its local maximality at low density in the Lennard-Jones-type potential case. We then show the local minimality of FCC and BCC lattices among all the Bravais lattices (without a density constraint). The largest possible open interval of density's values where the Simple Cubic lattice is a local minimizer is also computed." @default.
- W2554092047 created "2016-11-30" @default.
- W2554092047 creator A5060076655 @default.
- W2554092047 date "2017-12-18" @default.
- W2554092047 modified "2023-09-25" @default.
- W2554092047 title "Local optimality of cubic lattices for interaction energies" @default.
- W2554092047 cites W1990829398 @default.
- W2554092047 cites W1997105089 @default.
- W2554092047 cites W1998847779 @default.
- W2554092047 cites W2023085269 @default.
- W2554092047 cites W2025658979 @default.
- W2554092047 cites W2032793159 @default.
- W2554092047 cites W2033500205 @default.
- W2554092047 cites W2056007801 @default.
- W2554092047 cites W2100955645 @default.
- W2554092047 cites W2127569415 @default.
- W2554092047 cites W2136295887 @default.
- W2554092047 cites W2147465668 @default.
- W2554092047 cites W2289880074 @default.
- W2554092047 cites W2402086711 @default.
- W2554092047 cites W2520410766 @default.
- W2554092047 cites W2796590481 @default.
- W2554092047 cites W2798153371 @default.
- W2554092047 cites W2951976497 @default.
- W2554092047 cites W2963127802 @default.
- W2554092047 cites W2963815608 @default.
- W2554092047 cites W3103274847 @default.
- W2554092047 cites W3103562548 @default.
- W2554092047 hasPublicationYear "2017" @default.
- W2554092047 type Work @default.
- W2554092047 sameAs 2554092047 @default.
- W2554092047 citedByCount "1" @default.
- W2554092047 countsByYear W25540920472017 @default.
- W2554092047 crossrefType "posted-content" @default.
- W2554092047 hasAuthorship W2554092047A5060076655 @default.
- W2554092047 hasBestOaLocation W25540920471 @default.
- W2554092047 hasConcept C121332964 @default.
- W2554092047 hasConcept C121864883 @default.
- W2554092047 hasConcept C24444364 @default.
- W2554092047 hasConcept C26873012 @default.
- W2554092047 hasConcept C33332235 @default.
- W2554092047 hasConceptScore W2554092047C121332964 @default.
- W2554092047 hasConceptScore W2554092047C121864883 @default.
- W2554092047 hasConceptScore W2554092047C24444364 @default.
- W2554092047 hasConceptScore W2554092047C26873012 @default.
- W2554092047 hasConceptScore W2554092047C33332235 @default.
- W2554092047 hasLocation W25540920471 @default.
- W2554092047 hasLocation W25540920472 @default.
- W2554092047 hasLocation W25540920473 @default.
- W2554092047 hasLocation W25540920474 @default.
- W2554092047 hasLocation W25540920475 @default.
- W2554092047 hasOpenAccess W2554092047 @default.
- W2554092047 hasPrimaryLocation W25540920471 @default.
- W2554092047 hasRelatedWork W130813457 @default.
- W2554092047 hasRelatedWork W1974641610 @default.
- W2554092047 hasRelatedWork W1976759136 @default.
- W2554092047 hasRelatedWork W1985955265 @default.
- W2554092047 hasRelatedWork W1986869210 @default.
- W2554092047 hasRelatedWork W1990393733 @default.
- W2554092047 hasRelatedWork W2012717169 @default.
- W2554092047 hasRelatedWork W2163686557 @default.
- W2554092047 hasRelatedWork W2912208784 @default.
- W2554092047 hasRelatedWork W658855464 @default.
- W2554092047 isParatext "false" @default.
- W2554092047 isRetracted "false" @default.
- W2554092047 magId "2554092047" @default.
- W2554092047 workType "article" @default.