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arXiv · 1806.06320

A rigorous derivation of Haff's law for a periodic two-disk fluid

Alexander Grigo
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Abstract

We derive Haff's cooling law for a periodic fluid consisting of two hard disks per unit cell by reducing it to a point particle moving inside a Sinai billiard with finite horizon with an inelastic collision rule. Indeed, our results also apply to general dispersing billiards with piece-wise smooth boundary with finite horizon and no cusps.

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Alexander Grigo. 2018-06-17. A rigorous derivation of Haff's law for a periodic two-disk fluid. https://doi.org/10.1007/s10955-019-02323-2

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