Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
1999-09-25
Physics
Condensed Matter
Soft Condensed Matter
Revised title, minor changes, updated references. 36 pages, including 14 figures. More formats available at http://rainbow.u
Scientific paper
10.1063/1.481639
We demonstrate a variant of the Bond Fluctuation lattice Monte Carlo model in which moves through cis conformations are forbidden. Ring polymers in this model have a conserved quantity that amounts to a topological linking number. Increased linking number reduces the radius of gyration mildly. A linking number of order 0.2 per bond leads to an eight-percent reduction of the radius for 128-bond chains. This percentage appears to rise with increasing chain length, contrary to expectation. For ring chains evolving without the conservation of linking number, we demonstrate a substantial anti-correlation between the twist and writhe variables whose sum yields the linking number. We raise the possibility that our observed anti-correlations may have counterparts in the most important practical polymer that conserves linking number, DNA.
Plewa Joseph S.
Witten Thomas A.
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