Universal power law in the noise from a crumpled elastic sheet
Universal power law in the noise from a crumpled elastic sheet
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DOI：
10.1103/physreve.53.1465
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发表时间：
1996-02-01
影响因子：
2.4
通讯作者：
Lobkovsky, AE
中科院分区：
文献类型：
--
作者：
Kramer, EM;Lobkovsky, AE
使用高分辨率的数字录音，我们研究了薄薄膜薄片发出的crack啪声。这些床单具有传统无序系统的许多定性特征，包括挫败感和离散记忆。声音可以分解为离散点击，在纸张的粗糙构象快速变化过程中发出。观察到的点击能量范围超过六个数量级。声音的测得的能量自相关函数与类似于EXP（-CT（-CT（beta）））的拉伸指数C（t）一致，beta大约为0.35。点击能量的概率分布具有类似于e（-alpha）的功率定律p（e），其中alpha大约为1。我们找到了各种板块和材料的相同功率定律，这表明此p（e ）是普遍的。
Using high-resolution digital recordings, we study the crackling sound that is emitted from crumpled sheets of Mylar as they are strained. These sheets possess many of the qualitative features of traditional disordered systems, including frustration and discrete memory. The sound can be resolved into discrete clicks, which are emitted during rapid changes in the rough conformation of the sheet. Observed click energies range over six orders of magnitude. The measured energy autocorrelation function for the sound is consistent with a stretched exponential C(t) similar to exp(-ct(beta)), with beta approximate to 0.35. The probability distribution of click energies has a power law regime p(E) similar to E(-alpha), where alpha approximate to 1. We find the same power law for a variety of sheet sizes and materials, suggesting that this p(E) is universal.