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A unifying identity for the work of cluster formation in heterogeneous and homogeneous nucleation theory

机译：异构和均匀成核理论中集群形成工作的统一性

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摘要

A unifying identity is derived relating the reversible work of cluster formation (W) and its molecular number content (n) and surface work (Phi) components, each ratioed to the corresponding values for a spherical capillary drop of critical size in classical nucleation theory. The result is a relationship that connects these ratios: f(W) = -2f(N) + 3f(S), where f(W) = W/W*(CNT), f(N) = n/n*(CNT), and f(S) = Phi/Phi*(CNT). Shown to generalize two early thermodynamic relationships of Gibbs, the new result is demonstrated here for Fletcher's model of heterogeneous nucleation, resulting in a unified treatment of condensation on flat and curved substrates and smooth passage to the homogeneous limit. Additional applications are made to clusters of non-critical as well as critical size and to a molecular-based extension of classical nucleation theory based on the Kelvin relation. The new identity serves as a consistency check on complicated theoretical expressions and numerical calculations and can be used to guide the construction of theory and interpretation of measurements. (C) 2018 Author(s).
机译：衍生统一的身份，衍生簇形成（w）及其分子数含量（n）和表面工作（phi）组分的可逆工作，每个与古典成核理论中临界尺寸的球形毛细管下降的相应值比率。结果是连接这些比率的关系：f（w）= -2f（n）+ 3f（n）+ 3f，其中f（w）= w / w *（cnt），f（n）= n / n *（ CNT）和F（S）= PHI / PHI *（CNT）。显示推广吉布斯的两种早期热力学关系，这里的新结果用于弗莱彻的异质成核模型，导致扁平和弯曲基板上的冷凝处理和均匀极限的平滑通道。基于开尔文关系，对非关键型以及临界大小的群体和临界理论的分子延伸进行了额外的应用。新标识用作复杂理论表达和数值计算的一致性检查，可用于指导理论的构建和测量的解释。 （c）2018年作者。

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