Worm-like Polymer Loops and Fourier Knots

Details Worm-like Polymer Loops and Fourier Knots Worm-like Polymer Loops and Fourier Knots

2005-10-29

arxiv.org/abs/cond-mat/0510805v2

J. Phys. A: Math. Gen. 39 (2006) L507-L513

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures; paper had been substantially re-written, new results added

Scientific paper

10.1088/0305-4470/39/30/L04

Every smooth closed curve can be represented by a suitable Fourier sum. We show that the ensemble of curves generated by randomly chosen Fourier coefficients with amplitudes inversely proportional to spatial frequency (with a smooth exponential cutoff), can be accurately mapped on the physical ensemble of worm-like polymer loops. We find that measures of correlation on the scale of the entire loop yield a larger persistence length than that calculated from the tangent-tangent correlation function at small length scales. The conjecture that physical loops exhibit additional rigidity on scales comparable to the entire loop due to the contribution of twist rigidity, can be tested experimentally by determining the persistence length from the local curvature and comparing it with that obtained by measuring the radius of gyration of dsDNA plasmids. The topological properties of the ensemble randomly generated worm-like loops are shown to be similar to that of other polymer models.

Affiliated with

Also associated with

No associations

Rating

Worm-like Polymer Loops and Fourier Knots does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Worm-like Polymer Loops and Fourier Knots, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Worm-like Polymer Loops and Fourier Knots will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-546034