2014/12/15 by Benjamin Trefz, Peter Virnau · 8 citations
Chemical Engineering · Engineering · Physics and Astronomy · #Advanced Materials and Mechanics #Catenane #Dynamic scaling #Exponent #Knot (papermaking) #Polymer #Rheology and Fluid Dynamics Studies #Ring (chemistry) #Ring size #Scaling #Theoretical and Computational Physics #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1088/0953-8984/27/35/354110
published in Journal of Physics Condensed Matter 27(35), 354110 (IOP Publishing) · 5 pages, 5 figures
arxiv created 2014/12/15 · openalex publication_date 2015/08/20 · arxiv updated 2015/09/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Large scale molecular dynamics simulations on graphic processing units (GPUs) are employed to study the scaling behavior of ring polymers with various topological constraints in melts. Typical sizes of rings containing 3(1), 5(1) knots and catenanes made up of two unknotted rings scale like N(1/3) in the limit of large ring sizes N. This is consistent with the crumpled globule model and similar findings for unknotted rings. For small ring lengths knots occupy a significant fraction of the ring. The scaling of typical ring sizes for small N thus depends on the particular knot type and the exponent is generally larger than 0.4.