Myrlene Gee and Stuart G Whittington 1997 J. Phys. A: Math. Gen. 30 L1 doi:10.1088/0305-4470/30/1/001
Myrlene Gee and Stuart G Whittington
Show affiliationsWe consider a pair of polygons on the simple cubic lattice forming a link of specified type. We investigate the mean writhe of the polygons as a function of the number of edges in each polygon, and of the link type. Although two unknotted polygons which are linked as a Hopf link have zero mean writhe, we show that other torus links induce writhe in the polygons. We also consider non-torus links, including a link in which one polygon is knotted.
Issue 1 (7 January 1997)
Received 30 September 1996
Myrlene Gee and Stuart G Whittington 1997 J. Phys. A: Math. Gen. 30 L1
Mark C Peterman et al 2003 J. Micromech. Microeng. 13 380
A K Bandyopadhyay and Douglas A Olson 2006 Metrologia 43 573
C N H Lock 1930 Proc. Phys. Soc. 42 264
Tzenka Miteva et al 2008 New J. Phys. 10 103002
Parthasarathi Majumdar 2007 Class. Quantum Grav. 24 1747
G Sibbens and T Altzitzoglou 2007 Metrologia 44 S71
Sang-Joon Lee et al 2005 Fluid Dyn. Res. 37 246
W C Daywitt 1994 Metrologia 30 471
Ph Grossel and F Depasse 2005 Eur. J. Phys. 26 175