Mc. Tesi et al., KNOT PROBABILITY FOR LATTICE POLYGONS IN CONFINED GEOMETRIES, Journal of physics. A, mathematical and general, 27(2), 1994, pp. 347-360
We study the knot probability of polygons confined to slabs or prisms,
considered as subsets of the simple cubic lattice. We show rigorously
that almost all sufficiently long polygons in a slab are knotted and
we use Monte Carlo methods to investigate the behaviour of the knot pr
obability as a function of the width of the slab or prism and the numb
er of edges in the polygon. In addition we consider the effect of solv
ent quality on the knot probability in these confined geometries.