Temperature-dependent cubic-lattice-model simulation of polymer-chain dynamics

Motion of a single nonintersecting chain with nearest-neighbor attractive interactions is simulated on a three-dimensional cubic lattice using a Monte Carlo method. The free-draining exponent of the terminal relation time is $\tau \approx N^{2.17}$ in the strong excluded-volume region and tends to $\tau \approx N^2$ at the $\Theta$ point. The translational diffusion constant scales as $D\approx N^{-1\mathrm{}}$ at all temperatures. Results are in agreement with theoretical dynamical exponents in the free-draining limit.