Artículo
Yuhjtman, S.A. "A Sensible Estimate for the Stability Constant of the Lennard-Jones Potential" (2015) Journal of Statistical Physics. 160(6):1684-1695
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Abstract:
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.
Registro:
| Documento: | Artículo |
| Título: | A Sensible Estimate for the Stability Constant of the Lennard-Jones Potential |
| Autor: | Yuhjtman, S.A. |
| Filiación: | Departamento de Matemática Intendente Guiraldes 2160, FCEN, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, Buenos Aires, C1428EGA, Argentina |
| Palabras clave: | Lennard-Jones potential; Stability constant; Statistical mechanics |
| Año: | 2015 |
| Volumen: | 160 |
| Número: | 6 |
| Página de inicio: | 1684 |
| Página de fin: | 1695 |
| DOI: | http://dx.doi.org/10.1007/s10955-015-1300-3 |
| Título revista: | Journal of Statistical Physics |
| Título revista abreviado: | J. Stat. Phys. |
| ISSN: | 00224715 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00224715_v160_n6_p1684_Yuhjtman |
Referencias:
- de Lima, B.N.B., Procacci, A., The Mayer series of the Lennard-Jones gas: improved bounds for the convergence radius (2014) J. Stat. Phys., 157 (3), pp. 422-435
- Jones, J.E., On the determination of molecular fields. II. From the equation of state of a gas (1924) Proc. R. Soc. Lond. A, 106 (738), pp. 463-477
- Locatelli, M., Schoen, F., Fast global optimization of difficult Lennard-Jones clusters (2000) Comput. Optim. Appl., 21, pp. 55-70
- Morais, T., Procacci, A., Scoppola, B., On Lennard-Jones type potentials and hard-core potentials with an attractive tail (2014) J. Stat. Phys., 157 (1), pp. 17-39
- Ruelle, D., (1969) Statistical Mechanics: Rigorous Results, , W. A. Benjamin Inc, New York
- Schachinger, W., Addis, B., Bomze, I.M., Schoen, F., New results for molecular formation under pairwise potential minimization (2007) Comput. Optim. Appl., 38 (3), pp. 329-349
- Vinkó, T., Minimal inter-particle distance in atom clusters (2005) Acta Cybern., 17 (1), pp. 107-121
- Wales, D.J., Doye, J.P.K., Global optimization by basin-hopping and the lowest energy structures of Lennard-Jones clusters containing up to 110 atoms (1997) J. Phys. Chem. A, 101 (28), pp. 5111-5116
Citas:
---------- APA ----------
(2015) . A Sensible Estimate for the Stability Constant of the Lennard-Jones Potential. Journal of Statistical Physics, 160(6), 1684-1695.http://dx.doi.org/10.1007/s10955-015-1300-3
---------- CHICAGO ----------
Yuhjtman, S.A. "A Sensible Estimate for the Stability Constant of the Lennard-Jones Potential" . Journal of Statistical Physics 160, no. 6 (2015) : 1684-1695.http://dx.doi.org/10.1007/s10955-015-1300-3
---------- MLA ----------
Yuhjtman, S.A. "A Sensible Estimate for the Stability Constant of the Lennard-Jones Potential" . Journal of Statistical Physics, vol. 160, no. 6, 2015, pp. 1684-1695.http://dx.doi.org/10.1007/s10955-015-1300-3
---------- VANCOUVER ----------
Yuhjtman, S.A. A Sensible Estimate for the Stability Constant of the Lennard-Jones Potential. J. Stat. Phys. 2015;160(6):1684-1695.http://dx.doi.org/10.1007/s10955-015-1300-3
