Using the model H, we have derived a theoretical
model to describe 2D phase separating systems. The ratio between convective
and diffusive fluxes is proportional to a convection parameter
expressing the ratio between thermal and viscous forces.
In a typical case of liquid mixture, the convection parameter is of the order
of 105. In the following pictures, we see how morphology changes
at different times (vertical axis) as the convection parameter
is equal to 0, 102, 103, and 104 (horizontal
axis).
Note that at very short times, as the system evolves only by diffusion,
the morphology is bicontinuous and does not depend on
as we see below.
= 0 |
= 104 |
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Now, when we analyze these simulations, we conclude that they are in excellent agreement with the experimental results.


= 0.50
First, we analyze the separation depth,

= 0.45
Measuring the typical size of the microdomains, we see below that there are two stages, corresponding to those observed for the separation depth. First, during the drop-formation stage, microdomains grow linearly in time, while later, during the drop-growth stage, they grow as t1/3, in agreement with experimental results. Corresponding plot for the separation depth is shown below.

= 0.45