关于具有吸引尾的稳定对势，对A. G.巴苏耶夫
On stable pair potentials with an attractive tail, remarks on two papers by A. G. Basuev
摘要：
我们重新回顾了Basuev的两篇旧的和显然鲜为人知的论文[2] [3]，并表明其中包含的结果对连续粒子系统的Mayer级数收敛半径的当前下界产生了很大的改进，这些连续粒子系统通过一个非常大的稳定和回火势类相互作用，其中包括Lennard-Jones型势。特别地，我们根据Basuev方案分析了经典Lennard-Jones气体的情况，并且还使用我们中的一个人最近在该模型上获得的一些新结果[33]，我们提供了经典Lennard-Jones气体的Mayer级数收敛半径的新下界，该下界在最近在[17]中获得的当前最佳下界的基础上改进了$10^5$阶。
英文摘要：
We revisit two old and apparently little known papers by Basuev [2] [3] 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 [33] 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 [17].
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