• Corpus ID: 219792563

Segment Distribution around the Center of Gravity of Branched Polymers

  title={Segment Distribution around the Center of Gravity of Branched Polymers},
  author={Kazumi Suematsu and Haruo Ogura and S. Inayama and Toshihiko Okamoto},
  journal={arXiv: Soft Condensed Matter},
Mathematical expressions for mass distributions around the center of gravity are derived for branched polymers with the help of the Isihara formula. We introduce the Gaussian approximation for the end-to-end vector, $\vec{r}_{G\nu_{i}}$, from the center of gravity to the $i$th mass point on the $\nu$th arm. Then, for star polymers, the result is \begin{equation} \varphi_{star}(s)=\frac{1}{N}\sum_{\nu=1}^{f}\sum_{i=1}^{N_{\nu}}\left(\frac{d}{2\pi\left\langle r_{G\nu_{i}}^{2}\right\rangle}\right… 
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