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On Stable Pair Potentials with an Attractive Tail, Remarks on Two Papers by A. G. Basuev
Ist Teil von
Communications in mathematical physics, 2016-04, Vol.343 (2), p.445-476
Ort / Verlag
Berlin/Heidelberg: Springer Berlin Heidelberg
Erscheinungsjahr
2016
Link zum Volltext
Quelle
SpringerLink
Beschreibungen/Notizen
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
).