A bubble with radius 20 lu was initialised at the centre of a 64 by 64 site grid and allowed to reach equilibrium. The fluid density and the order parameter are plotted in figures 4-5 and 4-6 respectively for , 0.01 and 0.001.
Figure 4-5: The density, along a line through the centre of
a bubble, as a function of r
The centre of the bubble
is at r=32. The density profile across the interface can be seen for three
values of the interfacial energy .
Figure 4-6: The order parameter, along a line through the
centre of a bubble, as a function of r.
The centre of the bubble
is at r=32. The change in the order parameter across the interface can
be seen for three values of the interfacial energy .
Figure 4-5 shows a small decrease, of less than 1%, in the fluid density across the interface. The width of this decrease is about 10 lu when , 5 lu when and 3 lu when . There is also a small difference between the fluid density inside and outside the bubble. The difference is about 0.2% when and much smaller for the smaller values of . The change in , the order parameter, across the interface shows a gradual smooth change when with an interface width of about 10 lu. The lower values of show a much sharper change occurring over a few lattice units. The results displayed in figures 4-5 and 4-6 are consistent with the similar results in [9, 38].