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The dynamics of liquid condensation on a substrate or within a capillary isstudied when the wetting film grows via interface-limited growth. We use aphenomenological time-dependent Ginzburg-Landau (TDGL)-type model withlong-range substrate potential. Using an order parameter, which does notdirectly represent the density, we can derive an analytic formula for theinterfacial growth velocity that is directly related to the substratepotential. Using this analytic expression the growth of wetting film is shownto conform to a power-law-type growth, which is due to the presence of along-range dispersion force.

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