2007/03/29 by Marco Baiesi, M. Baiesi, E. Orlandini +3 · 2 citations
Mathematics · Physics and Astronomy · #Force Microscopy Techniques and Applications #Geometric and Algebraic Topology #Theoretical and Computational Physics #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.99.058301
published as Phys. Rev. Lett. 99, 058301 (2007) · 4 pages, 5 figures
arxiv created 2007/03/29 · openalex publication_date 2007/08/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.