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- W2969854818 abstract "Fluid properties near rough surfaces are crucial in both a description of fundamental surface phenomena and modern industrial material design implementations. One of the most powerful approach 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. Therefor 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 random solid geometry. This mathematical representation allows to obtain averaged free energy using novel statistical model of virtual clusters interacting through random ultrametric pairwise potentials. Excellent agreement with direct Monte Carlo calculations is obtained. Moreover, we find that this model leads to interesting features of fluid-solid interactions that have not been discussed in the literature. Our results demonstrate that at low temperature a significant impact to fluid-solid interface energy is induced by hierarchical structure of random geometry. Due to the interdisciplinary nature of the study, our approach can be generalized and applied to a wide range of quenched disorder systems on random graphs. Cooperative phenomena in biological populations and social networks seem most attractive." @default.
- W2969854818 created "2019-08-29" @default.
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- W2969854818 date "2019-08-21" @default.
- W2969854818 modified "2023-10-16" @default.
- W2969854818 title "Virtual clusters model on branching random graphs for confined fluid thermodynamics in heterogeneous solid geometry" @default.
- W2969854818 hasPublicationYear "2019" @default.
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