This article investigates an \(N\)-particle system with the Newtonian gravitational interaction in dimensions \(n\geq 3\). For the many-particle system without noise term, we prove that there is a finite time \(T\) such that the pairs of particles do collide with each other for any initial condition. When the noise effect is concerned and the initial data are independent and identically distributed (i.i.d.), we prove that pairs of particles do collide with positive probability: the singularity of the drift is indeed visited in finite time, which means that, for the stochastic \(N\)-particle system interacting via the Newtonian gravitational potential, global strong solution dose not exist.

本文研究了一个具有牛顿引力相互作用的\（N \）-粒子系统，尺寸为\（n \ geq 3 \）。对于没有噪声项的多粒子系统，我们证明存在一个有限时间\（T \），使得在任何初始条件下，成对的粒子确实会相互碰撞。当考虑噪声效应并且初始数据是独立且均匀分布的（iid）时，我们证明了成对的粒子确实以正概率碰撞：漂移的奇异性确实是在有限的时间内访问的，这意味着，对于随机\（N \）-粒子系统通过牛顿引力相互作用，不存在全局强溶液。