碳纳米管以任意数量的壁塌缩phase diagram。塌缩模式和宏观模拟
Carbon nanotubes collapse phase diagram with arbitrary number of walls. Collapse modes and macroscopic analog
摘要：
当碳纳米管的直径超过一定的阈值时，或者当足够大的外部压力施加在其壁上时，碳纳米管倾向于塌陷。它们的径向稳定性的管已被研究在每一个这些情况下，但一个通用的理论，能够预测崩溃仍然缺乏。在这里，我们提出了一个简单的模型，预测稳定性极限作为管道直径、壁数和压力的函数。该模型得到原子模拟、实验的支持，并用于绘制塌缩相图。我们已经确定了最稳定的碳纳米管，它可以在崩溃前支持18 GPa的最大压力。后者被鉴定为具有12 nm内径和30个壁的多壁管。根据内管直径和壁的数量，该最大压力会降低。然后，我们确定了一个管直径域，其中的径向机械稳定性可以被视为相当于宏观管，已知由典型的Lévy-Carrier定律描述。这种多尺度的行为被证明是在良好的协议与实验的基础上的O形环垫圈崩溃，提出了一个简单的宏观平行于纳米管在这一领域。
英文摘要：
Carbon nanotubes tend to collapse when their diameters exceed a certain threshold, or when a sufficiently large external pressure is applied on their walls. Their radial stability of tubes has been studied in each of these cases, however a general theory able to predict collapse is still lacking. Here, we propose a simple model predicting stability limits as a function of the tube diameter, the number of walls and the pressure. The model is supported by atomistic simulations, experiments, and is used to plot collapse phase diagrams. We have identified the most stable carbon nanotube, which can support a maximum pressure of 18 GPa before collapsing. The latter was identified as a multiwall tube with an internal tube diameter of 12nm and 30 walls. This maximum pressure is lowered depending on the internal tube diameter and the number of walls. We then identify a tube diameter domain in which the radial mechanical stability can be treated as equivalent to macroscopic tubes, known to be described by the canonical Lévy-Carrier law. This multiscale behavior is shown to be in good agreement with experiments based on O-ring gaskets collapse, proposed as a simple macroscopic parallel to nanotubes in this domain.
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