Universal Ratios in the Dynamics of Open and Closed Chains of Linked Ring Polymers in Solution via Brownian Dynamics

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  • Universal Ratios in the Dynamics of Open and Closed Chains of Linked Ring Polymers in Solution via Brownian Dynamics(Statistical Physics and Topology of Polymers with Ramifications to Structure and Function of DNA and Proteins) :

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The ratio of the mean-square radii of gyration between open and closed chains of linked ring polymers in solution and that of the diffusion constants have been evaluated via Brownian dynamics. For linked ring polymers with different linking numbers, L_k, between neighboring rings such as L_k=1, 2 and 3, the estimates of the ratios are very close to the universal ratios between linear and ring polymers. We thus suggest that they should also be universal for open and closed chains of linked ring polymers with different L_ks.

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