ON A UNIVERSALITY OF RANDOM KNOTTING(Session I : Cross-Disciplinary Physics, The 1st Tohwa University International Meeting on Statistical Physics Theories, Experiments and Computer Simulations)

Abstract

The entropy of a knotted ring polymer has been numerically evaluated and the entanglement effect on it has been studied exactly through the computer simulation of random knotting. The peoblem is how the entropy of a knotted polymer changes with respect to the length N under the topological constraint. We show that the entropy as a function of N can be expressed by a scaling formula and also that the exponent is universal for models of random polygon.