Abstract
Using the transfer-matrix technique and Monte Carlo simulations we examine a one-dimensional SOS model of wetting with unequal attracting potentials at the boundaries. At low temperatures the model has a metastable state with the interface pinned to the boundary of weaker potential. Monte Carlo simulations suggest that the lifetime of this metastable state diverges exponentially with the system size. Above a certain temperature this state becomes unstable and diffusion drives the interface to the boundary of a stronger potential. The transfer matrix of this model contains information about the equilibrium state (the largest eigenvalue) as well as the metastable state (the second largest eigenvalue). Gaps between these two largest eigenvalues and the continuous band close at distinct temperatures. The behaviour of our model is also described in terms of introduced constrained free energy.
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