Ranking knots of random, globular polymer rings

Details Ranking knots of random, globular polymer rings Ranking knots of random, globular polymer rings

2007-03-29

arxiv.org/abs/cond-mat/0703784v1

Phys. Rev. Lett. 99, 058301 (2007)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 5 figures

Scientific paper

10.1103/PhysRevLett.99.058301

An analysis of extensive simulations of interacting self-avoiding polygons on cubic lattice shows that the frequencies of different knots realized in a random, collapsed polymer ring decrease as a negative power of the ranking order, and suggests that the total number of different knots realized grows exponentially with the chain length. Relative frequencies of specific knots converge to definite values because the free energy per monomer, and its leading finite size corrections, do not depend on the ring topology, while a subleading correction only depends on the crossing number of the knots.

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