摘要翻译:
本文计算了约束在两条硬线之间的二维硬棒流体的表面相图。在第一阶段,我们研究由各向同性流体与单一硬线接触组成的半无限大系统。我们发现在壁面-各向同性流体界面上柱状相完全润湿。当流体被限制在两硬壁之间时,毛细管柱状有序通过一级相变发生。对于更高的化学势,即使对于非常窄的狭缝(接近一维极限),系统也表现出层状跃迁。所用的理论模型是一个密度泛函理论,其基础是基测度泛函,在限制取向近似下应用于硬矩形流体(Zwanzig模型)。本文的结果可以在由棒组成的二维颗粒介质中进行实验验证,在这种介质中,由外源引起的垂直运动和颗粒之间的排除体积相互作用允许系统探索那些稳态,这些稳态使堆积构型熵最大化。我们声称这里发现的一些表面现象可以存在于二维颗粒介质流体中。
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英文标题:
《Capillary ordering and layering transitions in two-dimensional hard-rod
fluids》
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作者:
Yuri Martinez-Raton
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最新提交年份:
2007
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分类信息:
一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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一级分类:Physics 物理学
二级分类:Soft Condensed Matter 软凝聚态物质
分类描述:Membranes, polymers, liquid crystals, glasses, colloids, granular matter
膜,聚合物,液晶,玻璃,胶体,颗粒物质
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英文摘要:
In this article we calculate the surface phase diagram of a two-dimensional hard-rod fluid confined between two hard lines. In a first stage we study the semi-infinite system consisting of an isotropic fluid in contact with a single hard line. We have found complete wetting by the columnar phase at the wall-isotropic fluid interface. When the fluid is confined between two hard walls, capillary columnar ordering occurs via a first-order phase transition. For higher chemical potentials the system exhibits layering transitions even for very narrow slits (near the one-dimensional limit). The theoretical model used was a density-functional theory based on the Fundamental-Measure Functional applied to a fluid of hard rectangles in the restricted-orientation approximation (Zwanzig model). The results presented here can be checked experimentally in two-dimensional granular media made of rods, where vertical motions induced by an external source and excluded volume interactions between the grains allow the system to explore those stationary states which entropically maximize packing configurations. We claim that some of the surface phenomena found here can be present in two-dimensional granular-media fluids.
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PDF链接:
https://arxiv.org/pdf/704.1467