周期性双圆盘流体Haff定律的严格推导
A rigorous derivation of Haff's law for a periodic two-disk fluid
摘要:
通过将每个单元格由两个硬盘组成的周期性流体简化为在有限视界的西奈台球内运动的点粒子,并采用非弹性碰撞规则,推导出了哈夫冷却定律。事实上,我们的结果也适用于一般分散台球与分段光滑边界有限的地平线和没有尖点。
英文摘要:
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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