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arXiv 1702.07217cond-mat.soft
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强约束下硬矩形的有序性

Ordering of hard rectangles in strong confinement

Peter Gurin, Szabolcs Varga, Miguel Gonzalez-Pinto, Yuri Martinez-Raton, Enrique Velasco

摘要:

利用转移算符和基本测度理论,研究了两平行硬壁间硬矩形的结构和热力学性质。选择矩形的边长($L$和$D$,$L>D$)和孔宽度($H$),使得允许以平面顺序($L$平行于壁)形成最多两层,而仅一层以垂面顺序($D$平行于壁)形成。我们观察到三种不同的结构:(i)一个低密度的流体相与平行对齐的壁,(ii)一个中间和高密度的流体相,两层和平面有序和(iii)一个致密的单一流体层与垂面有序。这些相的出现和有序方向随密度的变化是$L$和$H$的不同紧密堆积结构的结果。有趣的是,如果$L$接近于$H$,则随着密度的增加甚至可以观察到三种不同的结构。

英文摘要:

Using transfer operator and fundamental measure theories, we examine the structural and thermodynamic properties of hard rectangles confined between two parallel hard walls. The side lengths of the rectangle ($L$ and $D$, $L>D$) and the pore width ($H$) are chosen such that maximum two layers are allowed to form in planar order ($L$ is parallel to the wall), while only one in homeotropic order ($D$ is parallel to the wall). We observe three different structures: (i) a low density fluid phase with parallel alignment to the wall, (ii) an intermediate and high density fluid phase with two layers and planar ordering and (iii) a dense single fluid layer with homeotropic ordering. The appearance of these phases and the change in the ordering direction with density is a consequence of the varying close packing structures with $L$ and $H$. Interestingly, even three different structures can be observed with increasing density if $L$ is close to $H$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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