A Sensible Estimate for the Stability Constant of the Lennard-Jones Potential
We show that the stability constant of the Lennard-Jones potential in (Formula presented.), is smaller than 14.316. This is remarkably smaller than the best previously known bound. Our method is very elementary, and probably applicable to other similar potentials such as the Morse potentials. We als...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00224715_v160_n6_p1684_Yuhjtman |
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todo:paper_00224715_v160_n6_p1684_Yuhjtman2023-10-03T14:32:57Z A Sensible Estimate for the Stability Constant of the Lennard-Jones Potential Yuhjtman, S.A. Lennard-Jones potential Stability constant Statistical mechanics We show that the stability constant of the Lennard-Jones potential in (Formula presented.), is smaller than 14.316. This is remarkably smaller than the best previously known bound. Our method is very elementary, and probably applicable to other similar potentials such as the Morse potentials. We also improve slightly, in the Lennard-Jones case, the lower bound for the minimum interparticle distance of an optimal n-particle configuration to 0.684. © 2015, Springer Science+Business Media New York. Fil:Yuhjtman, S.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00224715_v160_n6_p1684_Yuhjtman |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Lennard-Jones potential Stability constant Statistical mechanics |
| spellingShingle |
Lennard-Jones potential Stability constant Statistical mechanics Yuhjtman, S.A. A Sensible Estimate for the Stability Constant of the Lennard-Jones Potential |
| topic_facet |
Lennard-Jones potential Stability constant Statistical mechanics |
| description |
We show that the stability constant of the Lennard-Jones potential in (Formula presented.), is smaller than 14.316. This is remarkably smaller than the best previously known bound. Our method is very elementary, and probably applicable to other similar potentials such as the Morse potentials. We also improve slightly, in the Lennard-Jones case, the lower bound for the minimum interparticle distance of an optimal n-particle configuration to 0.684. © 2015, Springer Science+Business Media New York. |
| format |
JOUR |
| author |
Yuhjtman, S.A. |
| author_facet |
Yuhjtman, S.A. |
| author_sort |
Yuhjtman, S.A. |
| title |
A Sensible Estimate for the Stability Constant of the Lennard-Jones Potential |
| title_short |
A Sensible Estimate for the Stability Constant of the Lennard-Jones Potential |
| title_full |
A Sensible Estimate for the Stability Constant of the Lennard-Jones Potential |
| title_fullStr |
A Sensible Estimate for the Stability Constant of the Lennard-Jones Potential |
| title_full_unstemmed |
A Sensible Estimate for the Stability Constant of the Lennard-Jones Potential |
| title_sort |
sensible estimate for the stability constant of the lennard-jones potential |
| url |
http://hdl.handle.net/20.500.12110/paper_00224715_v160_n6_p1684_Yuhjtman |
| work_keys_str_mv |
AT yuhjtmansa asensibleestimateforthestabilityconstantofthelennardjonespotential AT yuhjtmansa sensibleestimateforthestabilityconstantofthelennardjonespotential |
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1807318039266328576 |