Metastable tight knots in a wormlike polymer.
Based on an estimate of the knot entropy of a wormlike chain we predict that the interplay of bending energy and confinement entropy will result in a compact metastable configuration of the knot that will diffuse, without spreading, along the contour of the semiflexible polymer until it reaches one of the chain ends. Our estimate of the size of the knot as a function of its topological invariant (ideal aspect ratio) agrees with recent experimental results of knotted dsDNA. Further experimental tests of our ideas are proposed.
Grosberg
Alexander Y
AY
Department of Physics, University of Minnesota, 116 Church Street SE, Minneapolis, Minnesota 55455, USA.
Rabin
Yitzhak
Y
D004247:DNA / Q000737:chemistry; D019277:Entropy; D008956:Models, Chemical; D008968:Molecular Conformation; D011108:Polymers / Q000737:chemistry*
D011108:Polymers; D004247:DNA