every monomer in each chain in long-time limit [@dowards; @diff_conf], $\langle \Delta A(t)^{2}\rangle=\langle ( A_{i}(t_{0}+t)-A_{i}(t_{0}))^{2}\rangle_{i,t_{0}}$. We calculate radial $\langle \Delta |{\bf r}|^{2} \rangle$, azimuthal $\langle \left(\rho \Delta \phi\right)^{2} \rangle $, and polar $\langle \left(|{\bf r}| \Delta \theta \right)^{2} \rangle $, MSDs where $\rho=|{\bf r}| \sin (\theta)$. All of them show behavior similar to the constrained diffusion, Fig. \[fig:corr\_msd\](b-d). The longer segment chain at the periphery, despite the suppression of its radial displacement, represents higher angular (both azimuthal and polar) mobility compared to the other chains ($\sim 30-40\%$). The long-time limit slopes of all the MSDs are represented in table \[tab.1\] . The higher angular mobility is in agreement with the interpretation that the segregated chain is a clumped structure which is disentangled from the rest of the chains so it has relatively higher angular mobility (diffusivity) at periphery [@explain2].

  ---------- -------- -------- --------- ----------
     MSDs      Long    Short    Short-n   Flexible
     $r$      $0.16$   $0.15$   $0.19$     $0.17$
   $\theta$   $0.64$   $0.42$   $0.39$     $0.42$
    $\phi$    $0.73$   $0.51$   $0.48$     $0.42$
  ---------- -------- -------- --------- ----------

  : Long-time limit slopes of the mean square displacements (MSD) for each chain in the system. The long-time slopes of the radial $r$, polar $\theta$, and azimuthal $\phi$, MSDs are reported 