Power law decay of correlations in a billiard problem
Power law decay of correlations in a billiard problem
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台球问题中相关性的幂律衰减
DOI：
10.1007/bf01008956
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发表时间：
1983
影响因子：
1.6
通讯作者：
J. Machta
中科院分区：
文献类型：
--
作者：
J. Machta
对边界弧相切的台球问题进行了解析和数值研究。结果表明，切向顶点的存在下，导致速度相关衰减像1/n，其中n是碰撞的数量。这一结果与相关的台球和洛伦兹模型形成对比，其中速度相关性呈指数衰减。
A billiard problem with boundary arcs that meet tangentially is studied both analytically and numerically. It is shown that the presence of tangential vertices leads to velocity correlations which decay like 1/n wheren is the number of collisions. This result contrasts with related billiard and Lorentz models where velocity correlations decay exponentially.