Prewetting Line

Since the wetting transition is first order, there should be a prewetting line associated with it [1,2]. The measurements of this prewetting line are shown in Figure 9. Data was taken at several concentrations, five of which are shown: X3 = 0.905 (red), 0.873 (blue), 0.775 (green), 0.747 (magenta), and 0.726 (orange). Again, the frequency of the microbalance was allowed to settle at each point before the data was recorded. For clarity, the data are offset slightly form each other vertically and are plotted vs. T - Ts, where Ts is the bulk phase separation temperature for each mixture. Because the 3He used for these mixtures had been distilled from a more dilute mixture, the concentration was not well known directly and so was determined from the measurement of Ts and the data of Ref. [20].

As the experiment was cooled, the frequency of the microbalance remained fairly constant for each concentration until a temperature at which there was a break in the slope of the curve and the frequency shift began to decrease as a layer of superfluid formed at the cesium surface. For each concentration, this transition temperature is marked with an arrow in Figure 9. For the X3 = 0.905 measurement (shown in red), no transition was observed because for this concentration Ts < Tw so that the experimental trajectory does not cross the prewetting line. The transitions became progressively less sharp as the 3He concentration was reduced and Ts approached Ttc, the bulk tricritical point temperature. For concentrations less than 0.726, the transition could no longer be resolved.

The X3 = 0.873 measurement is far sharper than the others and is shown in greater detail in Figure 10. This transition was hysteretic and therefore first order. To verify the hysteresis, the loop was repeated twice (only one loop is shown in the figure) and the transition temperatures were found to be the same each time. The measurements at the higher concentrations were also checked for hysteresis and none was found. Therefore, of the measurements shown in Figure 9, only the X3 = 0.873 transition is actually a first order prewetting transition. The others form a line of superfluid onsets that extends upward from the surface critical point. For some of the superfluid onsets, a peak in the dissipation characteristic of a Kosterlitz-Thouless transition was visible in the data.