to reorient themselves which creates the fluctuation [@Israelachvili].[]{data-label="fig:homogeneous"}](sfig3.pdf){width=".48\textwidth"}

In separate series of simulations, we used systems of homopolymers which has only 4 similar chains (long segment, or short segment, or flexible chain) and as we can see the monomer number density distribution is homogeneous through the volume and there is no segregation of the chains, Fig. \[fig:homogeneous\], except some fluctuation close to the boundary which represents that the chains are in a constant reorientation [@Israelachvili].

segment-segment angle frequency distribution 
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![(color online) The segment-segment angle frequency distribution. The plots represent the angle between two successive segments for each chain. The radius of the confining sphere in each case is (a) $49$, (b) $30$, (c) $20$, and (d) $14$ all in unit of $\sigma$. Figures (a-c) show the tendency of the chains to avoid very small or straight angles; we see a distribution which does not change significantly for different radii of confining geometry. In contrast, figure (d) shows a drastic change in the angle distribution of longer segments where in their nematic phase, the majority of them are parallel to each other, the first peak, or forming sides of an imaginary polygon. The rest of the chains show similar behavior 