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Abstract:

We revisit two old and apparently little known papers by Basuev (Teoret Mat Fiz 37(1):130–134, 1978, Teoret Mat Fiz 39(1):94–105, 1979) and show that the results contained there yield strong improvements on current lower bounds of the convergence radius of the Mayer series for continuous particle systems interacting via a very large class of stable and tempered potentials, which includes the Lennard-Jones type potentials. In particular we analyze the case of the classical Lennard-Jones gas under the light of the Basuev scheme and, using also some new results (Yuhjtman in J Stat Phys 160(6): 1684–1695, 2015) on this model recently obtained by one of us, we provide a new lower bound for the Mayer series convergence radius of the classical Lennard-Jones gas, which improves by a factor of the order 10 5 on the current best lower bound recently obtained in de Lima and Procacci (J Stat Phys 157(3):422–435, 2014). © 2015, Springer-Verlag Berlin Heidelberg.

Registro:

Documento: Artículo
Título:On Stable Pair Potentials with an Attractive Tail, Remarks on Two Papers by A. G. Basuev
Autor:de Lima, B.N.B.; Procacci, A.; Yuhjtman, S.
Filiación:Departamento de Matemática, Universidade Federal de Minas Gerais, Belo Horizonte-MG, Brazil
Departamento de Matemática, Universidad de Buenos Aires, Buenos Aires, Argentina
Año:2016
Volumen:343
Número:2
Página de inicio:445
Página de fin:476
DOI: http://dx.doi.org/10.1007/s00220-015-2529-z
Título revista:Communications in Mathematical Physics
Título revista abreviado:Commun. Math. Phys.
ISSN:00103616
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00103616_v343_n2_p445_deLima

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Citas:

---------- APA ----------
de Lima, B.N.B., Procacci, A. & Yuhjtman, S. (2016) . On Stable Pair Potentials with an Attractive Tail, Remarks on Two Papers by A. G. Basuev. Communications in Mathematical Physics, 343(2), 445-476.
http://dx.doi.org/10.1007/s00220-015-2529-z
---------- CHICAGO ----------
de Lima, B.N.B., Procacci, A., Yuhjtman, S. "On Stable Pair Potentials with an Attractive Tail, Remarks on Two Papers by A. G. Basuev" . Communications in Mathematical Physics 343, no. 2 (2016) : 445-476.
http://dx.doi.org/10.1007/s00220-015-2529-z
---------- MLA ----------
de Lima, B.N.B., Procacci, A., Yuhjtman, S. "On Stable Pair Potentials with an Attractive Tail, Remarks on Two Papers by A. G. Basuev" . Communications in Mathematical Physics, vol. 343, no. 2, 2016, pp. 445-476.
http://dx.doi.org/10.1007/s00220-015-2529-z
---------- VANCOUVER ----------
de Lima, B.N.B., Procacci, A., Yuhjtman, S. On Stable Pair Potentials with an Attractive Tail, Remarks on Two Papers by A. G. Basuev. Commun. Math. Phys. 2016;343(2):445-476.
http://dx.doi.org/10.1007/s00220-015-2529-z