Dimension of Ring Polymers in Melt Studied by Monte-Carlo Simulation(Statistical Physics and Topology of Polymers with Ramifications to Structure and Function of DNA and Proteins) :

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  • Dimension of Ring Polymers in Melt Studied by Monte-Carlo Simulation

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Abstract

We investigated dimension of ring polymers in melt with a Monte-Carlo simulation and the self-consistent theory. Radii of gyration of ring polymer chains R_g were estimated as a function of molecular weight M. The simulation result was compared with experimental one for ring polystyrene in melt. The R_g value from the simulation is in good agreement with that obtained from the neutron scattering experiment. The simulation result shows that the ν value in the relationship, R_g∝M^ν, is decreased continuously with increasing M, and it reaches the limiting value of 1/3 in the range of M≥10^6.

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