Worm-like polymer loops and Fourier knots
| Autor: | Yitzhak Rabin, S M Rappaport, A. Yu. Grosberg |
|---|---|
| Rok vydání: | 2006 |
| Předmět: |
Persistence length
Physics Quantitative Biology::Biomolecules Statistical Mechanics (cond-mat.stat-mech) Mathematical analysis FOS: Physical sciences General Physics and Astronomy Statistical and Nonlinear Physics Rigidity (psychology) Condensed Matter - Soft Condensed Matter Curvature 01 natural sciences 010305 fluids & plasmas Correlation function (statistical mechanics) symbols.namesake Fourier transform 0103 physical sciences symbols Radius of gyration Soft Condensed Matter (cond-mat.soft) Cutoff 010306 general physics Fourier series Condensed Matter - Statistical Mechanics Mathematical Physics |
| Zdroj: | Journal of Physics A: Mathematical and General. 39:L507-L513 |
| ISSN: | 1361-6447 0305-4470 |
| DOI: | 10.1088/0305-4470/39/30/l04 |
| Popis: | 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. Comment: 4 pages, 3 figures; paper had been substantially re-written, new results added |
| Databáze: | OpenAIRE |
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