Most mesoscale simulation methods assume Gaussian distributions of velocity-like quantities. These quantities are not true velocities, however, but rather time-averaged velocities or displacements of particles. We show that there is a large range of coarse-graining scales where the assumption of a Gaussian distribution of these displacements fails, and a more complex distribution is required to adequately express these distribution functions of displacements.

中文翻译：

---

Lennard-Jones粒子在平衡状态下的位移的非高斯分布

大多数中尺度模拟方法都假定速度样量的高斯分布。但是，这些量不是真正的速度，而是时间平均速度或粒子的位移。我们表明，存在大范围的粗粒度尺度，其中这些位移的高斯分布的假设失败了，并且需要更复杂的分布才能充分表达这些位移的分布函数。