due to the decrease in the radius of confinement, from $R=20\sigma$ to $14\sigma$, in strong confinement case, $R=14\sigma$, we removed all the bond angle potentials (set the bond angle bending constant to $K_{\mathrm a}=0$) to make all the chains as flexible polymer chains with the same FENE potential; making a system of homopolymers. We let the chains to reach the equilibrium state where the number densities of monomers of each chain show similar pattern which indicates there is no competition between the chain. Then we started to increase the $K_{\mathrm a}$ during a very slow process of $4\times 10^{6}\,\tau$ time steps. We continued the simulations for $1\times 10^{9}\,\tau$ time steps and the results are the same as before without any changes which confirms the segregation is not an artifact of the simulations.

We performed separate simulations on systems of identical homopolymers, only similar stiff-segmented chains, and there is no segregation in those systems and we have a uniform number density distribution regardless of the length of the segment. This implies the importance of inhomogeneity in competitive phase segregation [@Axel].

In another series of simulations, we connect all the chains together to create a very long single chain in all possible 