粗糙表面的分枝随机图模型描述了有效分子势的热性质
Branching random graph model of rough surfaces describes thermal properties of the effective molecular potential
摘要：
粗糙表面附近的流体性质在描述基本表面现象和现代工业材料设计实现中至关重要。对真实粗糙材料进行建模的最有效方法之一是基于随机几何形状的表面表示。了解随机几何形状对低温流体热力学的影响是一个前沿问题。因此，这项工作扩展了最近的研究绕过高温膨胀和小的异质性尺度。我们引入随机分支树，其拓扑结构反映了随机立体几何的层次属性。这种数学表示使我们能够获得平均自由能使用的统计模型的虚拟集群通过随机超度量成对电位相互作用。我们的研究结果表明，在低温下的流-固界面能的显着影响诱导的随机几何的分级结构。这些计算与直接蒙特卡罗模拟相一致。由于这项研究的跨学科性质，开发的方法可以应用到广泛的随机图上的淬火无序系统。
英文摘要：
Fluid properties near rough surfaces are crucial in describing fundamental surface phenomena and modern industrial material design implementations. One of the most powerful approaches to model real rough materials is based on the surface representation in terms of random geometry. Understanding the influence of random solid geometry on the low-temperature fluid thermodynamics is a cutting edge problem. Therefore this work extends recent studies bypassing high-temperature expansion and small heterogeneity scale. We introduce random branching trees whose topology reflects the hierarchical properties of a random solid geometry. This mathematical representation allows us to obtain averaged free energy using a statistical model of virtual clusters interacting through random ultrametric pairwise potentials. Our results demonstrate that a significant impact to fluid-solid interface energy is induced by the hierarchical structure of random geometry at low temperature. These calculations coincide with direct Monte Carlo simulations. Due to the study's interdisciplinary nature, the developed approach can be applied to a wide range of quenched disorder systems on random graphs.
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。
