11 citations · 29 across the 4 of their papers we have counts for
4 papers
Entanglement statistics of polymers in a lattice tube and unknotting of 4-plats
Nicholas R. Beaton, Kai Ishihara, Mahshid Atapour +4
The Knot Entropy Conjecture states that the exponential growth rate of the number of -edge lattice polygons with knot-type is the same as that for unknot polygons. Moreover,…
Knotting statistics for polygons in lattice tubes
Nicholas R. Beaton, Jeremy W. Eng, Christine E. Soteros
We study several related models of self-avoiding polygons in a tubular subgraph of the simple cubic lattice, with a particular interest in the asymptotics of the knotting statistic…
Characterising knotting properties of polymers in nanochannels
Nicholas R. Beaton, Jeremy W. Eng, Kai Ishihara +2
Using a lattice model of polymers in a tube, we define one way to characterise different configurations of a given knot as either "local" or "non-local" and, for several ring polym…
Polygons in restricted geometries subjected to infinite forces
Nicholas R Beaton, Jeremy W Eng, Christine E Soteros
We consider self-avoiding polygons in a restricted geometry, namely an infinite tube in . These polygons are subjected to a force , parallel to the infi…