Abstract
Abstract In this Letter we establish the equivalence of the two-dimensional nonoverlapping Lorentz gas and the Ehrenfests' wind-tree model considering round (instead of square) trees. To obtain the Boltzmann equation for this latter model we use the infinite polygonal limit which turns out to be smooth and continuous. Finally we present the general solution of the Boltzmann equation which provides a simple discussion on the ergodicity of the model.
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