Abstract
Unentangled ring polymers take a Rouse-like relaxation process, which is shorter than the relaxation time of the linear chain of the same length. However, the relaxation time of the entangled ring-shaped polymer is still under debate since the polymer has their no free end. The physical properties of an entangled polymer chain can be obtained by a single polymer chain via establishing a mesh model. We have simulated the diffusion motion of the circular chains, and obtained the relaxation times by using three different methods. Four different scaling models have been proposed to predict the scaling exponents for the dynamics of nonconcatenated entangled rings. And our results are coincide with the Multi-ring model. At the same time, we also compare the difference between linear and circular chains, including relaxation time and diffusion motion. Indicated by our simulation results for same length of the chains, the plateau of g2(t) for ring chains are below that of linear polymers, and the relaxation times of the ring chains are shorter than that of linear polymers show by simulation results which are completely consistent with theoretical results.
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