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5.8 Summarized parameters and surface tension in critical mixtures

where X = 1/4·πk and k is a dimensionless quantity between 1.39 and 1.57 from theory, kB, is Boltzmann’s constant and ε is the reduced temperature. However, it was also re- ported in [154], that k lies in the interesting range between 0.5 and 2.00. The Eq.(5.32) plays a key role in understanding the nature of critical wetting and it is likewise a power- ful expression, which connects the surface tension and fluctuation correlation length. As mentioned before, no data of surface tension according to Eq.(5.29) are available in the literature the quantitatively analyze Eq.(5.32). However, using the same surface tension values, calculated with the aid of Eq.(5.31), the dependence of the characteristic relaxa- tion rate Γ0, and accordingly the life time of fluctuations could be studied as a function of the correlation length as well as surface tension. In fact the qualitative plot of life time of fluctuations Γ−1 0 demonstrates a linear dependence on quantity X Fig.(5.57). Once more it should be underlined, that this are only qualitative studies.

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