论文标题
通过负电势相互作用的经典颗粒系统的病毒系列
Virial series for a system of classical particles interacting through a pair potential with negative minimum
论文作者
论文摘要
在本说明中,我们重新审视了有关通过稳定和钢化的电势相互作用的连续经典颗粒系统的病毒系列的严格结果的最新发展,当电势具有严格的正稳定性常数时,我们为其收敛半径提供了新的下限。作为一种应用,我们获得了Lennard-Jones气体病毒系列收敛半径的新估计值,该半径可改善文献中存在的先前估计值。
In this note we revisit the recent developments concerning rigorous results on the virial series of a continuous system of classical particles interacting via a stable and tempered pair potential and we provide new lower bounds for its convergence radius when the potential has a strictly positive stability constant. As an application we obtain a new estimate for the convergence radius of the virial series of the Lennard-Jones gas which improves sensibly previous estimates present in the literature.