Regensburg 2010 – wissenschaftliches Programm
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BP: Fachverband Biologische Physik
BP 3: DNA, RNA and Associated Enzymes
BP 3.7: Vortrag
Montag, 22. März 2010, 16:00–16:15, H43
An accurate approximation for the end-to-end distance distribution of worm-like chains of arbitrary stiffness — •Nils B Becker1, Angelo Rosa2, and Ralf Everaers1 — 1Labo de Physique and Centre Blaise Pascal de l'ENS de Lyon, Universite de Lyon, CNRS UMR 5672, Lyon, France — 2Institute for Biocomputation and Physics of Complex Systems (BIFI), Zaragoza, Spain
The thermal conformations of semiflexible macromolecules are generically described by the worm-like chain model. To date, the model's fundamental quantity, the end-to-end distance distribution, is not known in closed form. We give an overview of the available approximations and exact limiting results for this distribution. We then combine all relevant exact limits into an explicit, generally applicable interpolation formula. The proposed expression accurately reproduces, at no computational cost, high-precision Monte-Carlo data, covering the full range from stiff to flexible chains and from looped to stretched configurations. Some applications are discussed.