25 citations · 38 across the 4 of their papers we have counts for
4 papers
Periodic motion of sedimenting flexible knots
Magdalena Gruziel, Krishnan Thyagarajan, Giovanni Dietler +3
We study the dynamics of knotted deformable closed chains sedimenting in a viscous fluid. We show experimentally that trefoil and other torus knots often attain a remarkably regula…
Quantization of energy and writhe in self-repelling knots
Phoebe Hoidn, Robert B. Kusner, Andrzej Stasiak
Probably the most natural energy functional to be considered for knotted strings is the one given by the electrostatic repulsion. In the absence of counter-charges, a charged, knot…
Gordian Unknots
P. Pieranski, S. Przybyl, A. Stasiak
Numerical simulations indicate that there exist conformations of the unknot, tied on a finite piece of rope, entangled in such a manner, that they cannot be disentangled to the tor…
Predicting Optimal Lengths of Random Knots
Akos Dobay, Pierre-Edouard Sottas, Jacques Dubochet +1
In thermally fluctuating long linear polymeric chain in solution, the ends come from time to time into a direct contact or a close vicinity of each other. At such an instance, the…