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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Detalles Bibliográficos
Autor principal: Yuhjtman, Sergio A.
Publicado: 2015
Materias:
Lennard-Jones potential
Stability constant
Statistical mechanics
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00224715_v160_n6_p1684_Yuhjtman
http://hdl.handle.net/20.500.12110/paper_00224715_v160_n6_p1684_Yuhjtman
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00224715_v160_n6_p1684_Yuhjtman
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spelling paper:paper_00224715_v160_n6_p1684_Yuhjtman2025-07-30T17:32:42Z A Sensible Estimate for the Stability Constant of the Lennard-Jones Potential Yuhjtman, Sergio 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. 2015 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00224715_v160_n6_p1684_Yuhjtman 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, Sergio 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.
author Yuhjtman, Sergio A.
author_facet Yuhjtman, Sergio A.
author_sort Yuhjtman, Sergio 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
publishDate 2015
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00224715_v160_n6_p1684_Yuhjtman
http://hdl.handle.net/20.500.12110/paper_00224715_v160_n6_p1684_Yuhjtman
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