Entanglements of Semidilute Polymer Rods

Brownian simulations of semidilute rods confirm that rotation of rods is ordinarily confined to cages which break up through diffusion along rod axes. However, the angular width of the cages is proportional to $\frac{1}{{\left(c{L}^3\right)}^p}$ is the rods are thin, with $p=\frac{1}{2}$ rather than the previously supposed $p=1\mathrm{}$. The latter result is found only for rods at true equilibrium, which cannot occur unless cage topology equilibrates as fast as cage size.