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demo1.gif
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) - -