Abstract
This work presents an average of over a million knot-core conformations under equilibrium and obtains a universal, heart-shaped, trefoil knot. The author further studies the fluctuations around it
Highlights
Entanglements make polymers fundamentally different from other molecules and are a major theme in polymer physics research
Polymers can form intrachain entanglements, which often appear as polymer knots [2,3,4] and are much less understood than interchain entanglements
The basic idea of the theory is the tube model, which assumes the polymer segments in a knot core are confined within a tube due to topological entanglements [16]
Summary
Entanglements make polymers fundamentally different from other molecules and are a major theme in polymer physics research. (iii) The tube model assumes the bending energy scales as Ebend ∼ LknotRk−n2ot ∼ Lk−n1ot based on the approximation that the radius of curvature Rknot is proportional to Lknot.
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