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The influence of substrate corrugation on wetting temperature

Wetting of periodically corrugated substrates is studied in the framework of the effective interface Hamiltonian approach applied to two non-smooth substrates with different convexity properties. We observe that first-order wetting of a planar substrate induces first-order wetting of a corrugated substrate. It is accompanied by a shift of the wetting temperature. The magnitude of this shift is discussed analytically and numerically as a function of parameters characterizing the corrugation when both the period and the amplitude of the corrugation change simultaneously leading to rescaling of the substrate. Critical wetting of the planar substrate induces critical wetting of the weakly corrugated substrate with no shift of the wetting temperature.