TY - JOUR

T1 - Line and boundary tensions on approach to the wetting transition

AU - Koga, K.

AU - Widom, B.

N1 - Funding Information:
We thank J. O. Indekeu for helpful comments that have been incorporated in the paper. K.K. acknowledges support by the MEXT Grant-in-Aid for Scientific Research and NAREGI. B.W. acknowledges support by the U.S. National Science Foundation.

PY - 2007

Y1 - 2007

N2 - A mean-field density-functional model often used in the past in the study of line and boundary tensions at wetting and prewetting transitions is reanalyzed by extensive numerical calculations, approaching the wetting transition much more closely than had previously been possible. The results are what are now believed to be definitive for the model. They include strong numerical evidence for the presence of the logarithmic factors predicted by theory both in the mode of approach of the prewetting line to the triple-point line at the point of the first-order wetting transition and in the line tension itself on approach to that point. It is also demonstrated with convincing numerical precision that the boundary tension on the prewetting line and the line tension on the triple-point line have a common limiting value at the wetting transition, again as predicted by theory. As a by product of the calculations, in the model's symmetric three-phase state, far from wetting, it is found that certain properties of the model's line tension and densities are almost surely given by simple numbers arising from the symmetries, but proving that these are exact for the model remains a challenge to analytical theory.

AB - A mean-field density-functional model often used in the past in the study of line and boundary tensions at wetting and prewetting transitions is reanalyzed by extensive numerical calculations, approaching the wetting transition much more closely than had previously been possible. The results are what are now believed to be definitive for the model. They include strong numerical evidence for the presence of the logarithmic factors predicted by theory both in the mode of approach of the prewetting line to the triple-point line at the point of the first-order wetting transition and in the line tension itself on approach to that point. It is also demonstrated with convincing numerical precision that the boundary tension on the prewetting line and the line tension on the triple-point line have a common limiting value at the wetting transition, again as predicted by theory. As a by product of the calculations, in the model's symmetric three-phase state, far from wetting, it is found that certain properties of the model's line tension and densities are almost surely given by simple numbers arising from the symmetries, but proving that these are exact for the model remains a challenge to analytical theory.

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U2 - 10.1063/1.2752156

DO - 10.1063/1.2752156

M3 - Article

AN - SCOPUS:34547895153

SN - 0021-9606

VL - 127

JO - Journal of Chemical Physics

JF - Journal of Chemical Physics

IS - 6

M1 - 064704

ER -