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3 is used, which corresponds to an interfacial potential and thus cannot be simply inserted into the bulk equations. At the same time, redesignation h→y is not valid either since in the layer the form of the potential is different. By their nature, London-van der Waals forces are bulk forces and, in general, the functionality of φ should involve both dependencies on y and h(x), since the potential depends not only on the film thickness, but on the position within the film. This is crucial in getting to the augmented Landau-Levich equation since the derivation procedure involves integration over the thin dimension
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3 is used, which corresponds to an interfacial potential and thus cannot be simply inserted into the bulk equations. At the same time, redesignation h→y is not valid either since in the layer the form of the potential is different. By their nature, London-van der Waals forces are bulk forces and, in general, the functionality of φ should involve both dependencies on y and h(x), since the potential depends not only on the film thickness, but on the position within the film. This is crucial in getting to the augmented Landau-Levich equation since the derivation procedure involves integration over the thin dimension.
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