Common and perhaps fun is to model a gas as a large number of particles repulsing each other, e.g., perfectly elastic billiard ball collisions, global (but heuristically accelerated) inverse square (or larger power) interactions, or lattice gas automata.
Can interesting things, e.g., weird density concentrations or waves, happen with a gas on a manifold that is not completely flat? Assume (at first) no additional external forces. These manifolds need not be physically realizable, e.g., 3-sphere.
Try a curved spacetime manifold.
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