Writhing geometry at finite temperature: Random walks and geometric phases for stiff polymers
نویسندگان
چکیده
منابع مشابه
Writhing Geometry at Finite Temperature: Random Walks and Geometric phases for Stiff Polymers
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 fil...
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The geometry of a smooth line is characterized locally by its curvature and torsion, or globally by its writhe. In many situations of physical interest the line is, however, not smooth so that the classical Frenet description of the geometry breaks down everywhere. One example is a thermalized stiff polymer such as DNA, where the shape of the molecule is the integral of a Brownian process. In s...
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ژورنال
عنوان ژورنال: The Journal of Chemical Physics
سال: 2001
ISSN: 0021-9606,1089-7690
DOI: 10.1063/1.1353545