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Dynamics of condensation of wetting layer in time-dependent Ginzburg-Landau model

2007/08/23 by Masao Iwamatsu, Iwamatsu, Masao
Engineering · Materials Science · Physics and Astronomy · #FOS: Physical sciences #Fluid Dynamics and Thin Films #Material Dynamics and Properties #Soft Condensed Matter (cond-mat.soft) #Theoretical and Computational Physics #cond-mat.soft

paper · pdf · doi:10.48550/arxiv.0708.3138

12 pages, 3 figures, J.Colloid Interface Sci. accepted for publication

arxiv created 2007/08/23 · openalex publication_date 2007/08/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The dynamics of liquid condensation on a substrate or within a capillary is studied when the wetting film grows via interface-limited growth. We use a phenomenological time-dependent Ginzburg-Landau (TDGL)-type model with long-range substrate potential. Using an order parameter, which does not directly represent the density, we can derive an analytic formula for the interfacial growth velocity that is directly related to the substrate potential. Using this analytic expression the growth of wetting film is shown to conform to a power-law-type growth, which is due to the presence of a long-range dispersion force.

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