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4 papers · 2 filters
Microscale swimming: The molecular dynamics approach
D. C. Rapaport
The self-propelled motion of microscopic bodies immersed in a fluid medium is studied using molecular dynamics simulation. The advantage of the atomistic approach is that the detai…
Simulated three-component granular segregation in a rotating drum
D. C. Rapaport
Discrete particle simulations are used to model segregation in granular mixtures of three different particle species in a horizontal rotating drum. Axial band formation is observed…
Differential Geometry of Polymer Models: Worm-like Chains, Ribbons and Fourier Knots
Shay M Rappaport, Yitzhak Rabin
We analyze several continuum models of polymers: worm-like chains, ribbons and Fourier knots. We show that the torsion of worm-like chains diverges and conclude that such chains ca…
Metastable tight knots in a worm-like polymer
Alexander Y. Grosberg, Yitzhak Rabin
Based on an estimate of the knot entropy of a worm-like chain we predict that the interplay of bending energy and confinement entropy will result in a compact metastable configurat…