2-dimensional Lennard-Jones gas:
N interacting particles in a periodic box
N=2: Velocity space is 4-dimensional, with a 3-dimensional
N>2: Velocity space has 2N dimensions. The statistical distributions
evidently approach the large-N limits.
In particular, the velocity density p(vx) already
resembles a Gaussian.
Note that the 2D Maxwell distribution starts out linearly
(not parabolically as in 3D).
[Code: LJones, still under construction]