Abstract
We present the solution of a linear solid-on-solid (SOS) model. Configurations are partially directed walks on a two-dimensional square lattice and we include a linear surface tension, a magnetic field, and surface interaction terms in the Hamiltonian. There is a wetting transition at zero field and, as expected, the behavior is similar to a continuous model solved previously. The solution is in terms ofq-series most closely related to theq-hypergeometric functions1 φ 1.
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Owczarek, A.L., Prellberg, T. Exact solution of the discrete (1+1)-dimensional SOS model with field and surface interactions. J Stat Phys 70, 1175–1194 (1993). https://doi.org/10.1007/BF01049427
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DOI: https://doi.org/10.1007/BF01049427