论文标题
孤独的行星和轻带：引力系统的统计力学
Lonely planets and light belts: the Statistical Mechanics of Gravitational Systems
论文作者
论文摘要
在本文中，我们提出了一个稳定性的概念，即我们称为$ε-N $稳定性，用于通过牛顿的重力潜力相互作用的粒子系统，并绕着更大的对象绕。对于这些系统，通常的热力学稳定性条件，确保执行热力学限制的可能性失败，但可以用作相关参数，最大值的粒子$ n $，保证了$ε-N $稳定性。凭借一些明智但不是特别优化的估计，从平衡统计力学的经典理论中借用，我们表明我们的模型与太阳系中观察到的数据非常吻合，并且可以合理地解释其某些全球性能。
In this paper we propose a notion of stability, that we call $ε-N$-stability, for systems of particles interacting via Newton's gravitational potential, and orbiting a much bigger object. For these systems the usual thermodynamical stability condition, ensuring the possibility to perform the thermodynamical limit, fails, but one can use as relevant parameter the maximum number of particles $N$ that guarantees the $ε-N$-stability. With some judicious but not particularly optimized estimates, borrowed from the classical theory of equilibrium statistical mechanics, we show that our model has a good fit with the data observed in the Solar System, and it gives a reasonable interpretation of some of its global properties.
