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arXiv 1502.06499cond-mat.stat-mech
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用传递矩阵法超越单列流体极限:受限平行硬正方形的精确结果

Beyond the single-file fluid limit using transfer matrix method: Exact results for confined parallel hard squares

Peter Gurin, Szabolcs Varga

摘要:

我们将一维硬核流体的传递矩阵方法推广到颗粒可以相互通过且最多可以形成两层的情况。我们推导出一个准一维系统的硬正方形之间的两个平行的墙壁,其中孔的宽度是在$σ$和$3σ$($σ$是边长的正方形)。精确的状态方程和最近邻分布函数显示了三种不同的结构:一个流体相与一个层,一个流体相与两个层和固体状结构的流体层是强烈相关的。不同有序流体之间的结构转变随着密度的增加而连续发展,即不发生热力学相变。该体系的高密度结构由两层团簇组成,两层团簇被破碎,颗粒停留在孔的中间。

英文摘要:

We extend the transfer matrix method of one-dimensional hard core fluids placed between confining walls for that case where the particles can pass each other and at most two layers can form. We derive an eigenvalue equation for a quasi-one-dimensional system of hard squares confined between two parallel walls, where the pore width is between $σ$ and $3σ$ ( $σ$ is the side length of the square). The exact equation of state and the nearest neighbour distribution functions show three different structures: a fluid phase with one layer, a fluid phase with two layers and a solid-like structure where the fluid layers are strongly correlated. The structural transition between differently ordered fluids develops continuously with increasing density, i.e. no thermodynamic phase transition occurs. The high density structure of the system consists of clusters with two layers which are broken with particles staying in the middle of the pore.

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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