Minimal knotted polygons in cubic lattices

Details Minimal knotted polygons in cubic lattices Minimal knotted polygons in cubic lattices

2011-07-11

arxiv.org/abs/1107.2162v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

An implementation of BFACF-style algorithms on knotted polygons in the simple
cubic, face centered cubic and body centered cubic lattice is used to estimate
the statistics and writhe of minimal length knotted polygons in each of the
lattices. Data are collected and analysed on minimal length knotted polygons,
their entropy, and their lattice curvature and writhe.

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