Abstract
The so-called perfect wetting phenomenon is studied for theq-state,d⩾2 Potts model. Using a new correlation inequality, a general inequality is established for the surface tension between ordered phases (σa,b) and the surface tension between an ordered and the disordered phases (σa,f) for any even value ofq. This result implies in particular\(\sigma _{\beta _l }^{a,b} \geqslant \sigma _{\beta _l }^{a,f} + \sigma _{\beta _l }^{b,f} > 0\) at the transition pointβ t where the previous phases coexist forq large. This inequality is connected to perfect wetting at the transition point using thermodynamic considerations. The same kinds of results are derived for the Blume-Capel model.
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De Coninck, J., Messager, A., Miracle-Sole, S. et al. A study of perfect wetting for Potts and Blume-Capel models with correlation inequalities. J Stat Phys 52, 45–60 (1988). https://doi.org/10.1007/BF01016403
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DOI: https://doi.org/10.1007/BF01016403