Writhing Geometry at Finite Temperature: Random Walks and Geometric phases for Stiff Polymers

Details Writhing Geometry at Finite Temperature: Random Walks and Geometric phases for Stiff Polymers Writhing Geometry at Finite Temperature: Random Walks and Geometric phases for Stiff Polymers

2000-09-12

arxiv.org/abs/cond-mat/0009182v2

Physics

Condensed Matter

Soft Condensed Matter

11 pages with 5 figures. Latex2e

Scientific paper

10.1063/1.1353545

We study the geometry of a semiflexible polymer at finite temperatures. The writhe can be calculated from the properties of Gaussian random walks on the sphere. We calculate static and dynamic writhe correlation functions. The writhe of a polymer is analogous to geometric or Berry phases studied in optics and wave mechanics. Our results can be applied to confocal microscopy studies of stiff filaments and to simulations of short DNA loops

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