2.2 - Phase Surface

Here we extend the previous visualization of phase diagram into phase surface in 3-D (see figure 2.2.1). Such plot is will show how the "Periodic Pause" disappears as the magnetic field strength increases. An animation was produced by revolving the camera along the phi angle so that structure of the 3-D phase diagram can be examined in details.
 

Planar-2

Planar-3

Planar-4

Planar-6

Planar-7

Planar-8

Planar-10

Planar-11

Planar-12

To see plot of the phase surface for the different cluster configuration, please click on the link underneath the image.

 

Figure 2.2.1 - Phase surface of dust clusters from two to twelve particles. The angular velocity has actually been scaled up 1000 times the actual value (except Planar-2).

The advantage of plotting a phase surface is that we get to visualize how angular velocity varies with magnetic field strength as a continuous function. In some of these phase surface, we see that angular velocity actually saturates even though the magnetic field was increased. This is indicated by the cylindrical shape of the phase surface at high magnetic field strength settings.