Binary liquid mixtures
are liquids that are composed of two different molecular components, A
and B. For a particular range of temperatures and concentrations a typical
binary liquid mixture will phase separate into two different liquid phases,
like a mixture of oil and water. We will denote the two liquid phases as
(rich in the A component) and
(rich in the B component).
A phase diagram for a phase separating binary liquid mixture coexisting
with its vapor is shown in Figure 5 in both temperature-concentration space
(a) and temperature-chemical potential space (b). The region of three coexisting
phases (
,
and
vapor) of Figure 5(a) becomes a line when plotted as in Figure 5(b) and
will therefore be referred to as the triple line.
A triple line can be considered as a line of triple points. Consequently,
as was shown by Pettersen and Saam [30],
in a binary liquid system there can be a line of triple point induced dewetting
transitions-- a dewetting line. This will occur in systems in which both
and
separately
wet the interface between a substrate and the vapor, but one liquid, say
, wets more strongly
than the other (assuming that
does
not wet the interface between
and
the vapor). Furthermore, if there is a transition on the triple line between
wetting films (on the substrate) of
and
films of
, then there
will be a dewetting line attached to that transition.
If wets the interface
between
and the vapor, then
films
become
-
films. In this case, a transition between the two different wetting films,
and
-
,
is equivalent to a wetting transition of
at
the interface between the substrate and
.
Such a wetting transition will have both prewetting and dewetting lines.
This situation is illustrated in the temperature-chemical potential phase
diagram of Figure 6.
The six boxes to either side of and below the phase diagram illustrate
the adsorption states for the case that the substrate forms the walls of
a container. At point A, there is bulk
and vapor in the container with
a thin layer of
between
them, and
films wet the walls
of the container. Moving towards point B,
on the triple line above the wetting transition, the
layer
diverges in thickness so that all three bulk phases are present in the
container. Proceeding to point C, the
phase is no longer stable in the
bulk so the
films become microscopic
in thickness. The substrate is still wet, however, because of the thick
films. In crossing
the prewetting line towards point D,
the thin
films disappear altogether
leaving only the
phase
to wet the container walls. At point E,
on the triple line below the wetting transition, there is again both bulk
and
in
the container, but only
wets
the walls. If the system is shifted towards point F,
the
films remain
on the walls, but
is
no longer stable in the bulk. So in the region around point F,
the walls of the container are non-wet.