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We compare dewetting characteristics of a thin nonwetting solid film in theabsence of stress, for two models of a wetting potential: the exponential andthe algebraic. The exponential model is a one-parameter (r) model, and thealgebraic model is a two-parameter (r,m) model, where r is the ratio of thecharacteristic wetting length to the height of the unperturbed film, and m isthe exponent of h (film height) in a smooth function that interpolates thesystem's surface energy above and below the film-substrate interface at z=0.The exponential model gives monotonically decreasing (with h) wetting chemicalpotential, while this dependence is monotonic only for the m=1 case of thealgebraic model. Linear stability analysis of the planar equilibrium surface isperformed. Simulations of the surface dynamics in the strongly nonlinear regime(large deviations from the planar equilibrium) and for large surface energyanisotropies demonstrate that for any m the film is less prone to dewettingwhen it is governed by the algebraic model. Quasiequilibrium states similar tothe one found in the exponential model (M. Khenner, Phys. Rev. B 77, 245445(2008)) exist in the algebraic model as well, and the film morphologies aresimilar.

Comparative study of a solid film dewetting in an attractive substrate potentials with the exponential and the algebraic decay