Wetting transitions of continuously varying or infinite order from a mean-field density-functional theory

作者: K. Koga , J.O. Indekeu , B. Widom

DOI: 10.1080/00268976.2011.556095

关键词: Function (mathematics)Space (mathematics)Wetting layerMean field theoryChemistryAsymmetryWettingPhase diagramAnisotropyStatistical physics

摘要: We consider a mean-field density-functional model for three-phase equilibria and wetting. The features two densities control parameters, one of which is related to order parameter asymmetry or spatial anisotropy. global wetting phase diagram in the space these parameters rich. It first-order, second-order, continuously-varying-order infinite-order transitions. divergence layer thickness usually logarithmic as function distance transition, but, contrast, algebraic upon approach an transition. Further, approximate interface potential proposed, allows us derive analytic predictions singular behaviour thermodynamic functions near wetting, accordance with accurate numerical computations. conjectured that previously developed models, such as, example, ferromagnets cubic anisotropy also contain segment ...

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