Figure 12
From: Knot Energy, Complexity, and Mobility of Knotted Polymers
Shape characterization of the knotted ring polymers as a function of the minimum crossing number m for polymeric knots having fixed rigidity l p = 50.2 nm and diameter d = 2.8 nm. In the upper panel, the ratio between the largest Λ3 and the smallest Λ1 eigenvalues of the radius of gyration tensor. The inset in panel (a) shows the ratios Λ2/Λ1 which provide a basic measure of the anisotropy of the shape of the knotted polymer. In (b), R h/R g gets smaller with increasing length and approaches a saturation value with increasing knot complexity. The images in panel (b) are representative configurations taken from different orientations to show the anisotropy for knotted polymers having L = 176.4 nm.
