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In this animation, in addition to the yellow particles from the previous picture, there are 7000 more particles. The states of all these particles were drawn from the BOLTZMANN DISTRIBUTION: P(state) ~ exp(-beta Energy(state)) - There's a lot to notice in this picture! Notice the flow is like the flow of an incompressible fluid, and that the *density* of particles only depends on the energy. A horizontal section through this picture at any height will yield a Gaussian distribution for velocity that is the same distribution at all heights; A vertical section gives the exponential distribution P(z) ~ exp(-mgz) - -