Invited Speaker
Tetsuo Deguchi
A chain of linked ring polymers in solution via Brownian dynamics
We discuss statistical and dynamical properties of a chain of linked ring polymers in solution through Brownian dynamics under hydrodynamic interaction. Here bond crossing is prohibited due to the FENE and the Lenard-Jones potentials. The chain consists of $n$ ring polymers where each ring polymer is entangled to two adjacent ones. We have evaluated the mean-square radius of gyration and the diffusion constant of the chain. We also briefly review universality in the diffusion of knotted ring polymers in solution through Brownian dynamics.
[1] N. Kanaeda and T. Deguchi, Diffusion of a ring polymer in good solution via the Brownian dynamics with no bond crossing, J. Phys. A: Math. Theor. Vol. 41, 145004 (11pp) (2008).
[2] N. Kanaeda and T. Deguchi, Universality in the diffusion of knots, to appear in Phys. Rev. E (arXiv:0807.0304 (cond-mat.soft)).