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POSTER PRESENTATION
Tuesday, 15:40, Panel No. 11
Relaxation of Knotted Ring Polymers
S. Saka, H. Takano
Department of Physics, Keio University, Japan
The relaxation of a knotted ring polymer with N segments is studied by Brownian dynamics simulations. The relaxation rate of the Fourie transform with the wave number p of the segment positions is estimated by the least square fit of the equilibrium time-displaced autocorrelation function of the Fourie transform to a single exponential decay at long times. For the trivial knot, the relaxation rate distribution appears to be proportional to (1/N)2.17 for p=1 and to (p/N)2.14 for p>1. These exponents are similar to that found for a linear polymer chain. Even in the case of the trivial knot, the topological effect appears as the difference between the amplitudes of the power law dependences of the relaxation rates for p=1 on 1/N and those for p>1 on p/N. Note that no such difference appears for a linear polymer chain. For the trefoil knot, not p=1 but p=2 corresponds to the slowest relaxation rate for each N. For p=1, the relaxation rates for the trefoil knot are larger than those for the trivial knot, while they are smaller for p>1. © IWNET 2006
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and Kleanthi for IWNET 2006