Ranking knots of random, globular polymer rings

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dc.creatorBaiesi, M.
dc.creatorOrlandini, E.
dc.creatorStella, A. L.
dc.date2007-03-29
dc.date.accessioned2026-07-07T08:24:28Z
dc.date.available2026-07-07T08:24:28Z
dc.descriptionAn 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.
dc.description4 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0703784
dc.identifierhttp://arxiv.org/abs/cond-mat/0703784
dc.identifierPhys. Rev. Lett. 99, 058301 (2007)
dc.identifierdoi:10.1103/PhysRevLett.99.058301
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136352
dc.subjectStatistical Mechanics
dc.subjectSoft Condensed Matter
dc.titleRanking knots of random, globular polymer rings
dc.typetext

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