%\eeq
% TODO: transfer this appendix to general appendices
\section*{Appendix: twist elastic resistance of thin hard needles}
For hard rods a tractable analytical expression for the $z-$resolved excluded area is available in the needle limit $L/D \rightarrow \infty$ [Poniewierski, Shundyak]:
https://github.com/mtorresl-works/TORRES_thesis_manuscript/blob/1d341cdeb3ab1b758f02ec20b5e65a6348ac53d6/chapters/chapter-4.tex#L262