Minimal knotted polygons in cubic lattices
E J Janse van Rensburg, Andrew Rechnitzer · Journal of Statistical Mechanics Theory and Experiment · 2011
Abstract. An implementation of BFACF-style algorithms [1, 2, 5] on knotted polygons in the simple cubic, face centered cubic and body centered cubic lattice [31, 32] 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.