# Segment Distribution around the Center of Gravity of Branched Polymers

@article{Suematsu2020SegmentDA, 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}, year={2020} }

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…

## One Citation

Segment Distribution around the Center of Gravity of a Triangular Polymer

- Physics, Materials Science
- 2020

Abstract: The segment distribution around the center of gravity is investigated for a special comb polymer (triangular polymer) having the side chains of the same generation number, g, as the main…

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