**Non-Gaussian distribution of displacements for Lennard-Jones particles
in equilibrium**

A Pachalieva and AJ Wagner, PHYSICAL REVIEW E, 102, 053310 (2020).

DOI: 10.1103/PhysRevE.102.053310

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.

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