Tight packing of a flexible rod in two-dimensional cavities
Tight packing of a flexible rod in two-dimensional cavities
复制标题
二维空腔中柔性杆的紧密封装
DOI：
10.1088/0022-3727/48/33/335305
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
M. Gomes
中科院分区：
文献类型：
--
作者：
T. A. Sobral;M. Gomes
本文研究了将长度为L的柔性聚合物棒注入和填充到XY区域的简单连通矩形区域中的问题。随着注射的进行，杆子会弯曲自己，并在闭合的环路中储存弹性能量。在一个典型的实验中，可以在阻塞状态下在腔内识别出N个这样的环路。我们对紧填充极限下的全长L(N，X，Y)进行了广泛的实验分析，得到了与这些变量相关的稳健的幂定律。此外，我们还研究了当单连通区域被固定大小的空闲圆盘部分占据时，这个布局问题的一个版本。实验结果得到了27种腔体的实验结果，符合单一的状态方程，适用于不同拓扑结构的磁区中棒的紧密堆积。除了其固有的理论兴趣和一般性，这里研究的问题可能在一些研究中感兴趣，包括在几个复杂环境中的DNA和聚合物的堆积模型。
The present work deals with the injection and packing of a flexible polymeric rod of length L into a simply connected rectangular domain of area XY. As the injection proceeds, the rod bends over itself and it stores elastic energy in closed loops. In a typical experiment N of these loops can be identified inside the cavity in the jammed state. We have performed an extensive experimental analysis of the total length L(N, X, Y) in the tight packing limit, and have obtained robust power laws relating these variables. Additionally, we have examined a version of this packing problem when the simply connected domain is partially occupied with free discs of fixed size. The experimental results were obtained with 27 types of cavities and obey a single equation of state valid for the tight packing of rods in domains of different topologies. Besides its intrinsic theoretical interest and generality, the problem examined here could be of interest in a number of studies including packing models of DNA and polymers in several complex environments.
病毒 DNA 包装的单分子研究。
影响因子：
5.9
作者：
Smith,DouglasE
通讯作者：
Smith,DouglasE