IMAS   23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
artículos
Título:
A sensible estimate for the stability constant of the Lennard-Jones potential
Autor/es:
YUHJTMAN, SERGIO A.
Revista:
JOURNAL OF STATISTICAL PHYSICS
Editorial:
SPRINGER
Referencias:
Año: 2015
ISSN:
0022-4715
Resumen:
We show that the stability constant of the Lennard-Jones potential \Phi(x) = ||x||^(-12) - 2||x||^(-6) is smaller than 14.316. This is remarkably smaller than the best  previously known bound. Our method is 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 minimal interparticle distance of an optimal n-particle configuration to 0.684.