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Feb 09, 20251 min read

$⟨ R_{G}^{2} ⟩ \equiv \frac{1}{N} i = 1 \sum N ⟨ R_{i} - R_{CM}^{2} ⟩$

$R_{CM}^{2}$ is the position of the center of mass of the polymer
Is roughly the average distance of a strand’s end from the polymer’s center of mass

$\displaystyle {\left\langle{R_{G}^{2}}\right\rangle}\equiv \frac{1}{N}\sum_{i = 1}^{N}{\left\langle{R_{i}-R_{\text{CM}}^{2}}\right\rangle}$
$\displaystyle \sqrt{ {\left\langle{R_{G}^{2}}\right\rangle} }=\sqrt{ \frac{L\xi_{p}}{3} }$