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We present computer simulations of a dynamic Monte Carlo algorithm forpolymer chains on the FCC lattice which takes explicitly into account thepossibility to overcome topological constraints by controlling the rate atwhich nearby polymer strands may cross through each other. By applying themethod to systems of interacting ring polymers at melt conditions, wecharacterize their structure and dynamics by measuring, in particular, theamounts of knots and links which are formed during the relaxation process. Incomparison to standard melts of unknotted and unconcatenated rings, oursimulations demonstrate that the mechanism of strand crossing is responsiblefor fluidizing the melt provided the time scale of the process is faster thanthe internal relaxation of the chain, in agreement with recent experimentsemploying solutions of DNA rings in the presence of the type II topoisomeraseenzyme. In the opposite case of slow rates the melt is shown to become slower,and this prediction may be easily validated experimentally.

Computer simulations of melts of ring polymers with non-conserved topology: A dynamic Monte Carlo lattice model