Abstract

We show that the velocity distribution f( v) for a gas of non-interacting particles bouncing around in a deforming irregular container of fixed volume tends to a universal function independent of its original form and of the container's shape or time evolution. This function turns out to be the exponential velocity distribution. f( v) ∞ e −v c where c is one third of the instantaneous average particle speed. This may be contrasted with the gaussian Maxwell-Boltzmann distribution appropriate in the case of a gas of interacting particles.

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