Nucleation!!!!!!!!!

Figure 2

 

Figure 1

 

z8_nucleation

 

Figure 3

 
grnucleation

At a given temperature, there is a volume fraction that is ideal for the growth of nucleating clusters in a system.  These conditions appear near the boundary of the phase diagram that exists if you plot temperature as a function of concentration for a given system (figure 1).  Figure 2 shows the morphology of three nucleating clusters at a concentration k=8, T=.15kt, number of monomers=1000, and box size =128 (volume fraction=.00025).  Nucleating clusters grow uniformly and have a compact structure, resembling that of a sphere with a fractal dimension nearing the value of 3.  To study the structure of the nucleating clusters, I plotted the radial distribution function of the largest cluster in a system as a function of radial distance (figure 3).  To see an image of this see the section on Lysozyme.  The slightly sharp peaks are indicative of a more tightly bound structure due to the large probability that a monomer will be at a given position.  In contrast a liquid would have very broad distribution with dull peaks due to the particles ability to move around more freely.