Abstract.

The existence of amorphous packings in two-dimensional monodisperse system is a classical unsolved problem. We get the energy minimum state by the energy minimization method of enthalpy under constant pressure conditions. Firstly, we find that there are two peaks in the experiment, which demonstrate the interesting features of the coexistence of crystals and amorphous crystals. And then, we confirm the critical point of jamming transition of the two-dimensional monodisperse is \(\phi_c=0.8418\). Finally, we prove that the jamming scaling is still satisfied in two-dimensional monodispersed system: \( G/B \sim p^{1/2}\) and vanishes as \( p\rightarrow 0\), and the boson peak shifts to lower frequencies for less compressed systems.

Graphical abstract

中文翻译：

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二维单分散系统中干扰转变的临界点

摘要。

二维单分散体系中无定形填料的存在是一个经典的未解决问题。在恒压条件下，通过焓的能量最小化方法得到能量最小状态。首先，我们发现实验中有两个峰，这表明了晶体和非晶态晶体共存的有趣特征。然后，我们确定二维单分散的干扰转变的临界点为\（\ phi_c = 0.8418 \）。最后，我们证明了在二维单分散系统中仍满足干扰定标：\（G / B \ sim p ^ {1/2} \）并消失为\（p \ rightarrow 0 \）和玻色子峰对于压缩程度较小的系统，将移至较低的频率。

图形概要