Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2011-06-09
Physical Review Letters 107, 188302 (2011)
Physics
Condensed Matter
Soft Condensed Matter
9 pages 9 figures
Scientific paper
10.1103/PhysRevLett.107.188302
The interplay of geometrical and topological entanglement in semiflexible knotted polymer rings confined inside a spherical cavity is investigated using advanced numerical methods. By using stringent and robust algorithms for locating knots, we characterize how the knot length lk depends on the ring contour length, Lc and the radius of the confining sphere, Rc . In the no- and strong- confinement cases we observe weak knot localization and complete knot delocalization, respectively. We show that the complex interplay of lk, Lc and Rc that seamlessly bridges these two limits can be encompassed by a simple scaling argument based on deflection theory. The same argument is used to rationalize the multiscale character of the entanglement that emerges with increasing confinement.
Micheletti Cristian
Orlandini Enzo
Tubiana Luca
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