Kolmogorov–Sinai Entropy, Lyapunov Exponents, and Mean Free Time in Billiard Systems
Kolmogorov–Sinai Entropy, Lyapunov Exponents, and Mean Free Time in Billiard Systems
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台球系统中的柯尔莫哥洛夫-西奈熵、李亚普诺夫指数和平均空闲时间
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发表时间：
1997
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通讯作者：
P. Garrido
中科院分区：
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作者：
P. Garrido
我们进行新的实验Kolmogorov-Sinai熵，李雅普诺夫指数，和平均自由时间在台球。我们研究了它们对散射体几何形状的依赖性，散射体由两个相互贯穿的正方形晶格组成，每个晶格都有不同半径的圆形散射体。我们发现，特别是，上述数量的散射体半径的比率的连续函数。然而，它似乎是他们的衍生物是不连续的半径比分离扩散和非扩散类型的几何形状。
We perform new experiments on the Kolmogorov–Sinai entropy, Lyapunov exponents, and the mean free time in billiards. We study their dependence on the geometry of the scatterers made up of two interpenetrating square lattices, each one with circular scatterers with different radius. We find, in particular, that the above quantities are continuous functions of the ratio of the scatterer radius. However, it seems that their derivative is discontinuous around the radius ratio which separates the diffusive and nondiffusive types of geometries.