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We investigate liquid layers adsorbed at spherical and corrugated cylindricalsubstrates. The effective Hamiltonians for the liquid-gas interfacesfluctuating in the presence of such curved substrates are derived via themean-field density functional theory. Their structure is compared with theHelfrich Hamiltonian which is parametrized by the bending and Gaussian rigiditycoefficients. For long-ranged interparticle interactions of van der Waals typethese coefficients turn out to be non-universal functions of interfacialcurvatures; their form varies from one interface to another. We discussimplications of the structure of these functions on the effective Hamiltonian.

Effective Hamiltonian for a liquid-gas interface fluctuating around a corrugated cylindrical substrate in the presence of van der Waals interactions