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Dimensional crossover in fragmentation

机译:碎片中的尺寸交叉

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摘要

Experiments in which thick clay plates and glass rods are fractured have revealed different behavior of fragment mass distribution function in the small and large fragment regions. In this paper we explain this behavior using non-extensive Tsallis statistics and show how the crossover between the two regions is caused by the change in the fragments' dimensionality during the fracture process. We obtain a physical criterion for the position of this crossover and an expression for the change in the power-law exponent between the small and large fragment regions. These predictions are in good agreement with the experiments on thick clay plates. (C) 2000 Elsevier Science B.V. All rights reserved. [References: 10]
机译:厚粘土板和玻璃棒断裂的实验表明,在小和大碎片区域中碎片质量分布函数的行为不同。在本文中,我们使用非扩展的Tsallis统计数据解释了这种行为,并显示了两个区域之间的交叉是如何由断裂过程中碎片尺寸的变化引起的。我们获得了此分频器位置的物理标准,以及大小片段之间的幂律指数变化的表达式。这些预测与厚粘土板上的实验非常吻合。 (C)2000 Elsevier Science B.V.保留所有权利。 [参考:10]

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