On Stable Pair Potentials with an Attractive Tail, Remarks on Two Papers by A. G. Basuev

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...

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Bibliographic Details
Published inCommunications in mathematical physics Vol. 343; no. 2; pp. 445 - 476
Main Authors de Lima, Bernardo N. B., Procacci, Aldo, Yuhjtman, Sergio
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2016
Subjects
Classical and Quantum Gravitation
Complex Systems
Mathematical and Computational Physics
Mathematical Physics
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Theoretical
Stability Constant
Convergence Radius
Pair Potential
Mayer Expansion
General Pair Interaction
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Summary: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 ).
ISSN:0010-3616
1432-0916
DOI:10.1007/s00220-015-2529-z